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area_comparison/triangle_size/triangle_size_tasks.jsonl

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+{"qid": 5200, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-4, -7], [4, -6], [-1, -6]); Triangle DEF vertices ([4, 7], [-3, -10], [-5, -2]). Which is larger by area?", "im_path": "/images_full/task_05200_triangle_size.png", "im_dots_path": "/images/task_05200_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5201, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-4, -8], [-7, -2], [1, -3]); Triangle DEF vertices ([2, 7], [3, -2], [-6, -2]). Which is larger by area?", "im_path": "/images_full/task_05201_triangle_size.png", "im_dots_path": "/images/task_05201_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5202, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, -4], [4, 10], [-6, 0]); Triangle DEF vertices ([1, 0], [6, -10], [-9, 2]). Which is larger by area?", "im_path": "/images_full/task_05202_triangle_size.png", "im_dots_path": "/images/task_05202_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5203, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, -6], [10, 10], [-2, 3]); Triangle DEF vertices ([-5, -10], [2, -5], [1, 4]). Which is larger by area?", "im_path": "/images_full/task_05203_triangle_size.png", "im_dots_path": "/images/task_05203_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5204, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, 1], [-1, 7], [10, 9]); Triangle DEF vertices ([-2, 9], [-4, 9], [-6, 8]). Which is larger by area?", "im_path": "/images_full/task_05204_triangle_size.png", "im_dots_path": "/images/task_05204_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5205, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([8, 6], [9, -7], [2, 2]); Triangle DEF vertices ([-3, -10], [5, 5], [3, 5]). Which is larger by area?", "im_path": "/images_full/task_05205_triangle_size.png", "im_dots_path": "/images/task_05205_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5206, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, 3], [-10, -10], [-3, 9]); Triangle DEF vertices ([5, 6], [6, -10], [-6, 0]). Which is larger by area?", "im_path": "/images_full/task_05206_triangle_size.png", "im_dots_path": "/images/task_05206_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5207, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-8, -6], [8, 8], [6, -7]); Triangle DEF vertices ([-3, 9], [8, 6], [-1, -4]). Which is larger by area?", "im_path": "/images_full/task_05207_triangle_size.png", "im_dots_path": "/images/task_05207_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5208, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, -5], [-6, 3], [-5, 2]); Triangle DEF vertices ([-3, -5], [-6, 3], [-5, 2]). Which is larger by area?", "im_path": "/images_full/task_05208_triangle_size.png", "im_dots_path": "/images/task_05208_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5209, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([1, -8], [-4, -1], [9, -9]); Triangle DEF vertices ([10, -2], [9, 4], [8, 0]). Which is larger by area?", "im_path": "/images_full/task_05209_triangle_size.png", "im_dots_path": "/images/task_05209_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5210, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-1, 10], [-1, 8], [1, 2]); Triangle DEF vertices ([-8, 0], [5, 1], [-5, -3]). Which is larger by area?", "im_path": "/images_full/task_05210_triangle_size.png", "im_dots_path": "/images/task_05210_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5211, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, 5], [-6, -7], [-10, -3]); Triangle DEF vertices ([6, -2], [2, -7], [2, -2]). Which is larger by area?", "im_path": "/images_full/task_05211_triangle_size.png", "im_dots_path": "/images/task_05211_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5212, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, -6], [4, 5], [-10, 3]); Triangle DEF vertices ([-9, 7], [2, 2], [-5, -1]). Which is larger by area?", "im_path": "/images_full/task_05212_triangle_size.png", "im_dots_path": "/images/task_05212_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5213, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-9, 9], [-9, 2], [5, 2]); Triangle DEF vertices ([7, 8], [-5, -2], [-9, -2]). Which is larger by area?", "im_path": "/images_full/task_05213_triangle_size.png", "im_dots_path": "/images/task_05213_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5214, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, -8], [-10, 2], [4, 2]); Triangle DEF vertices ([-8, -7], [10, 9], [-5, 2]). Which is larger by area?", "im_path": "/images_full/task_05214_triangle_size.png", "im_dots_path": "/images/task_05214_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5215, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, -10], [-8, 5], [-8, -3]); Triangle DEF vertices ([1, -9], [7, -7], [-2, -4]). Which is larger by area?", "im_path": "/images_full/task_05215_triangle_size.png", "im_dots_path": "/images/task_05215_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5216, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([10, -9], [-2, -1], [5, -8]); Triangle DEF vertices ([10, -9], [-2, -1], [5, -8]). Which is larger by area?", "im_path": "/images_full/task_05216_triangle_size.png", "im_dots_path": "/images/task_05216_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5217, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([0, -9], [4, 3], [1, 8]); Triangle DEF vertices ([9, -8], [0, 3], [-5, -2]). Which is larger by area?", "im_path": "/images_full/task_05217_triangle_size.png", "im_dots_path": "/images/task_05217_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5218, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, 10], [3, -7], [8, 2]); Triangle DEF vertices ([3, 1], [-5, 9], [-1, 0]). Which is larger by area?", "im_path": "/images_full/task_05218_triangle_size.png", "im_dots_path": "/images/task_05218_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5219, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, 2], [6, 0], [-8, 7]); Triangle DEF vertices ([-9, -3], [-5, 2], [2, 10]). Which is larger by area?", "im_path": "/images_full/task_05219_triangle_size.png", "im_dots_path": "/images/task_05219_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5220, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, 10], [2, 9], [5, -7]); Triangle DEF vertices ([9, -1], [-9, -7], [-7, 8]). Which is larger by area?", "im_path": "/images_full/task_05220_triangle_size.png", "im_dots_path": "/images/task_05220_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5221, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, -7], [-4, 6], [2, 4]); Triangle DEF vertices ([6, -7], [-4, 6], [2, 4]). Which is larger by area?", "im_path": "/images_full/task_05221_triangle_size.png", "im_dots_path": "/images/task_05221_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5222, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, -6], [-1, -8], [6, 4]); Triangle DEF vertices ([8, 9], [7, 5], [-8, -7]). Which is larger by area?", "im_path": "/images_full/task_05222_triangle_size.png", "im_dots_path": "/images/task_05222_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5223, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([8, 0], [2, -2], [-8, 5]); Triangle DEF vertices ([-8, 5], [7, -7], [10, -3]). Which is larger by area?", "im_path": "/images_full/task_05223_triangle_size.png", "im_dots_path": "/images/task_05223_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5224, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, 6], [4, -5], [2, 10]); Triangle DEF vertices ([5, 6], [4, -5], [2, 10]). Which is larger by area?", "im_path": "/images_full/task_05224_triangle_size.png", "im_dots_path": "/images/task_05224_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5225, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, -5], [3, 8], [6, 8]); Triangle DEF vertices ([10, 2], [10, -6], [-6, -10]). Which is larger by area?", "im_path": "/images_full/task_05225_triangle_size.png", "im_dots_path": "/images/task_05225_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5226, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, -4], [-1, -4], [-1, -2]); Triangle DEF vertices ([2, -4], [-1, -4], [-1, -2]). Which is larger by area?", "im_path": "/images_full/task_05226_triangle_size.png", "im_dots_path": "/images/task_05226_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5227, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, 10], [0, -1], [-10, 0]); Triangle DEF vertices ([-10, 2], [-7, -2], [9, 3]). Which is larger by area?", "im_path": "/images_full/task_05227_triangle_size.png", "im_dots_path": "/images/task_05227_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5228, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, -3], [5, -1], [-2, -8]); Triangle DEF vertices ([-7, -4], [10, -3], [-7, 9]). Which is larger by area?", "im_path": "/images_full/task_05228_triangle_size.png", "im_dots_path": "/images/task_05228_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5229, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, -8], [2, 6], [10, 3]); Triangle DEF vertices ([-10, 0], [7, 10], [-5, 0]). Which is larger by area?", "im_path": "/images_full/task_05229_triangle_size.png", "im_dots_path": "/images/task_05229_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5230, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, -8], [-1, 10], [7, 5]); Triangle DEF vertices ([-8, 8], [-3, -10], [-8, 0]). Which is larger by area?", "im_path": "/images_full/task_05230_triangle_size.png", "im_dots_path": "/images/task_05230_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5231, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, 8], [-10, 8], [4, 1]); Triangle DEF vertices ([5, 10], [-9, 6], [-3, 3]). Which is larger by area?", "im_path": "/images_full/task_05231_triangle_size.png", "im_dots_path": "/images/task_05231_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5232, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-9, 1], [1, 8], [-2, 1]); Triangle DEF vertices ([10, 6], [7, -9], [-6, 9]). Which is larger by area?", "im_path": "/images_full/task_05232_triangle_size.png", "im_dots_path": "/images/task_05232_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5233, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-4, 1], [-10, -4], [4, -4]); Triangle DEF vertices ([-4, 1], [-10, -4], [4, -4]). Which is larger by area?", "im_path": "/images_full/task_05233_triangle_size.png", "im_dots_path": "/images/task_05233_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5234, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, -7], [1, -8], [9, -5]); Triangle DEF vertices ([-4, 4], [2, 4], [0, -10]). Which is larger by area?", "im_path": "/images_full/task_05234_triangle_size.png", "im_dots_path": "/images/task_05234_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5235, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([8, 9], [5, 3], [2, 7]); Triangle DEF vertices ([2, 10], [-7, -8], [-8, 5]). Which is larger by area?", "im_path": "/images_full/task_05235_triangle_size.png", "im_dots_path": "/images/task_05235_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5236, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-4, -8], [-4, 0], [6, -7]); Triangle DEF vertices ([1, 0], [7, -5], [-1, 6]). Which is larger by area?", "im_path": "/images_full/task_05236_triangle_size.png", "im_dots_path": "/images/task_05236_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5237, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-5, 1], [4, -8], [7, -4]); Triangle DEF vertices ([-5, 1], [4, -8], [7, -4]). Which is larger by area?", "im_path": "/images_full/task_05237_triangle_size.png", "im_dots_path": "/images/task_05237_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5238, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([0, 4], [-3, 10], [-6, 7]); Triangle DEF vertices ([0, 4], [-3, 10], [-6, 7]). Which is larger by area?", "im_path": "/images_full/task_05238_triangle_size.png", "im_dots_path": "/images/task_05238_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5239, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, 8], [5, -7], [5, -1]); Triangle DEF vertices ([-3, 2], [-5, 8], [6, -3]). Which is larger by area?", "im_path": "/images_full/task_05239_triangle_size.png", "im_dots_path": "/images/task_05239_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5240, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([0, -2], [10, 0], [5, -9]); Triangle DEF vertices ([-1, -1], [-6, 6], [2, -4]). Which is larger by area?", "im_path": "/images_full/task_05240_triangle_size.png", "im_dots_path": "/images/task_05240_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5241, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, 3], [9, 10], [1, 10]); Triangle DEF vertices ([-5, 2], [-9, 2], [-2, -10]). Which is larger by area?", "im_path": "/images_full/task_05241_triangle_size.png", "im_dots_path": "/images/task_05241_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5242, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-8, -6], [-8, -3], [8, -9]); Triangle DEF vertices ([9, -1], [-3, -4], [6, 3]). Which is larger by area?", "im_path": "/images_full/task_05242_triangle_size.png", "im_dots_path": "/images/task_05242_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5243, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, 4], [7, -4], [3, -9]); Triangle DEF vertices ([4, 6], [10, -4], [4, -1]). Which is larger by area?", "im_path": "/images_full/task_05243_triangle_size.png", "im_dots_path": "/images/task_05243_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5244, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-6, -6], [0, -1], [9, -1]); Triangle DEF vertices ([9, 0], [-6, -3], [-7, 5]). Which is larger by area?", "im_path": "/images_full/task_05244_triangle_size.png", "im_dots_path": "/images/task_05244_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5245, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, -4], [-9, -6], [-2, 5]); Triangle DEF vertices ([2, -6], [-2, 2], [8, -3]). Which is larger by area?", "im_path": "/images_full/task_05245_triangle_size.png", "im_dots_path": "/images/task_05245_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5246, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, 9], [-4, 9], [8, -2]); Triangle DEF vertices ([5, 4], [9, -9], [-9, -4]). Which is larger by area?", "im_path": "/images_full/task_05246_triangle_size.png", "im_dots_path": "/images/task_05246_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5247, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([10, 2], [-8, -6], [-2, 0]); Triangle DEF vertices ([-10, -2], [7, -8], [3, -6]). Which is larger by area?", "im_path": "/images_full/task_05247_triangle_size.png", "im_dots_path": "/images/task_05247_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5248, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-9, -6], [-4, 10], [6, 2]); Triangle DEF vertices ([9, 4], [-4, 3], [8, 1]). Which is larger by area?", "im_path": "/images_full/task_05248_triangle_size.png", "im_dots_path": "/images/task_05248_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5249, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, 9], [-3, -9], [0, 3]); Triangle DEF vertices ([-2, -5], [-9, 2], [7, 2]). Which is larger by area?", "im_path": "/images_full/task_05249_triangle_size.png", "im_dots_path": "/images/task_05249_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5250, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-9, 5], [0, -2], [-10, -6]); Triangle DEF vertices ([-9, 5], [0, -2], [-10, -6]). Which is larger by area?", "im_path": "/images_full/task_05250_triangle_size.png", "im_dots_path": "/images/task_05250_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5251, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, -6], [2, 1], [3, 3]); Triangle DEF vertices ([-9, -10], [8, 10], [-3, 1]). Which is larger by area?", "im_path": "/images_full/task_05251_triangle_size.png", "im_dots_path": "/images/task_05251_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5252, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([10, 2], [-4, -3], [-10, 3]); Triangle DEF vertices ([-3, -10], [5, 8], [5, 4]). Which is larger by area?", "im_path": "/images_full/task_05252_triangle_size.png", "im_dots_path": "/images/task_05252_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5253, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, 9], [-3, -7], [-5, 3]); Triangle DEF vertices ([8, -4], [7, 8], [2, -2]). Which is larger by area?", "im_path": "/images_full/task_05253_triangle_size.png", "im_dots_path": "/images/task_05253_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5254, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, -6], [-6, -5], [-4, 7]); Triangle DEF vertices ([7, -6], [5, 8], [10, -6]). Which is larger by area?", "im_path": "/images_full/task_05254_triangle_size.png", "im_dots_path": "/images/task_05254_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5255, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, -10], [10, 1], [2, -1]); Triangle DEF vertices ([2, 4], [-7, 6], [-7, 5]). Which is larger by area?", "im_path": "/images_full/task_05255_triangle_size.png", "im_dots_path": "/images/task_05255_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5256, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, 8], [-3, 10], [-3, 0]); Triangle DEF vertices ([-3, 4], [8, -9], [4, -2]). Which is larger by area?", "im_path": "/images_full/task_05256_triangle_size.png", "im_dots_path": "/images/task_05256_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5257, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, 6], [8, 7], [10, -4]); Triangle DEF vertices ([-10, -2], [-6, -7], [-1, 0]). Which is larger by area?", "im_path": "/images_full/task_05257_triangle_size.png", "im_dots_path": "/images/task_05257_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5258, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, -4], [-10, 9], [-5, -5]); Triangle DEF vertices ([-1, 0], [3, 5], [-6, 2]). Which is larger by area?", "im_path": "/images_full/task_05258_triangle_size.png", "im_dots_path": "/images/task_05258_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5259, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-8, 10], [-8, -9], [8, -5]); Triangle DEF vertices ([4, -3], [4, 4], [-7, 1]). Which is larger by area?", "im_path": "/images_full/task_05259_triangle_size.png", "im_dots_path": "/images/task_05259_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5260, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, 1], [-7, -2], [0, 4]); Triangle DEF vertices ([-3, 4], [-10, 10], [7, 4]). Which is larger by area?", "im_path": "/images_full/task_05260_triangle_size.png", "im_dots_path": "/images/task_05260_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5261, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, -6], [7, -8], [9, -10]); Triangle DEF vertices ([-1, 8], [-9, 1], [-4, -5]). Which is larger by area?", "im_path": "/images_full/task_05261_triangle_size.png", "im_dots_path": "/images/task_05261_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5262, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([4, 4], [5, 3], [-9, -6]); Triangle DEF vertices ([6, -6], [9, -7], [-5, -8]). Which is larger by area?", "im_path": "/images_full/task_05262_triangle_size.png", "im_dots_path": "/images/task_05262_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5263, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([10, -6], [1, 6], [-3, -10]); Triangle DEF vertices ([-6, 3], [-5, 5], [-3, 8]). Which is larger by area?", "im_path": "/images_full/task_05263_triangle_size.png", "im_dots_path": "/images/task_05263_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5264, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, -6], [6, 7], [-1, 8]); Triangle DEF vertices ([-10, 9], [8, 8], [-4, -10]). Which is larger by area?", "im_path": "/images_full/task_05264_triangle_size.png", "im_dots_path": "/images/task_05264_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5265, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([5, -2], [1, -8], [-7, 8]); Triangle DEF vertices ([5, -2], [1, -8], [-7, 8]). Which is larger by area?", "im_path": "/images_full/task_05265_triangle_size.png", "im_dots_path": "/images/task_05265_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5266, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-8, -5], [-2, -8], [-7, 7]); Triangle DEF vertices ([-1, 10], [-10, 5], [6, 7]). Which is larger by area?", "im_path": "/images_full/task_05266_triangle_size.png", "im_dots_path": "/images/task_05266_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5267, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-10, -3], [2, 9], [-5, -4]); Triangle DEF vertices ([-3, 0], [-1, -4], [-8, 6]). Which is larger by area?", "im_path": "/images_full/task_05267_triangle_size.png", "im_dots_path": "/images/task_05267_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5268, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, -5], [-5, 5], [-4, -8]); Triangle DEF vertices ([-7, -1], [2, 2], [-1, 9]). Which is larger by area?", "im_path": "/images_full/task_05268_triangle_size.png", "im_dots_path": "/images/task_05268_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5269, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, 5], [5, 4], [-8, -10]); Triangle DEF vertices ([9, 5], [5, 4], [-8, -10]). Which is larger by area?", "im_path": "/images_full/task_05269_triangle_size.png", "im_dots_path": "/images/task_05269_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5270, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-1, 0], [9, -4], [-6, -7]); Triangle DEF vertices ([-1, 0], [9, -4], [-6, -7]). Which is larger by area?", "im_path": "/images_full/task_05270_triangle_size.png", "im_dots_path": "/images/task_05270_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5271, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, 0], [3, -9], [-2, 10]); Triangle DEF vertices ([3, 0], [3, -9], [-2, 10]). Which is larger by area?", "im_path": "/images_full/task_05271_triangle_size.png", "im_dots_path": "/images/task_05271_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5272, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([1, 7], [-3, 2], [-4, 8]); Triangle DEF vertices ([-6, -1], [4, -7], [-2, -9]). Which is larger by area?", "im_path": "/images_full/task_05272_triangle_size.png", "im_dots_path": "/images/task_05272_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5273, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, -8], [4, 7], [0, 4]); Triangle DEF vertices ([7, -10], [0, 3], [-10, 2]). Which is larger by area?", "im_path": "/images_full/task_05273_triangle_size.png", "im_dots_path": "/images/task_05273_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5274, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, -2], [2, -4], [7, 4]); Triangle DEF vertices ([2, -2], [2, -4], [7, 4]). Which is larger by area?", "im_path": "/images_full/task_05274_triangle_size.png", "im_dots_path": "/images/task_05274_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5275, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([1, 1], [-2, -6], [-3, -4]); Triangle DEF vertices ([-1, 10], [0, -1], [1, 9]). Which is larger by area?", "im_path": "/images_full/task_05275_triangle_size.png", "im_dots_path": "/images/task_05275_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5276, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, -6], [-6, -3], [4, -9]); Triangle DEF vertices ([-2, -6], [-6, -3], [4, -9]). Which is larger by area?", "im_path": "/images_full/task_05276_triangle_size.png", "im_dots_path": "/images/task_05276_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5277, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-3, 9], [10, 1], [5, -10]); Triangle DEF vertices ([1, -7], [-3, 10], [-5, -1]). Which is larger by area?", "im_path": "/images_full/task_05277_triangle_size.png", "im_dots_path": "/images/task_05277_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5278, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([8, -5], [-8, 4], [6, 7]); Triangle DEF vertices ([4, 5], [-9, 0], [-1, 5]). Which is larger by area?", "im_path": "/images_full/task_05278_triangle_size.png", "im_dots_path": "/images/task_05278_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5279, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, 0], [8, -7], [-4, -2]); Triangle DEF vertices ([1, 9], [1, 1], [-7, -7]). Which is larger by area?", "im_path": "/images_full/task_05279_triangle_size.png", "im_dots_path": "/images/task_05279_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5280, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-6, 10], [9, -1], [-10, -1]); Triangle DEF vertices ([-4, 8], [-8, -7], [-3, -5]). Which is larger by area?", "im_path": "/images_full/task_05280_triangle_size.png", "im_dots_path": "/images/task_05280_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5281, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, 9], [3, 0], [6, -2]); Triangle DEF vertices ([-4, -6], [-3, -7], [9, -4]). Which is larger by area?", "im_path": "/images_full/task_05281_triangle_size.png", "im_dots_path": "/images/task_05281_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5282, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([1, -4], [-7, -5], [-7, -4]); Triangle DEF vertices ([-1, 5], [6, 3], [-2, -4]). Which is larger by area?", "im_path": "/images_full/task_05282_triangle_size.png", "im_dots_path": "/images/task_05282_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5283, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([2, -1], [2, -7], [5, 10]); Triangle DEF vertices ([2, -1], [2, -7], [5, 10]). Which is larger by area?", "im_path": "/images_full/task_05283_triangle_size.png", "im_dots_path": "/images/task_05283_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5284, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, -6], [1, -9], [-10, 3]); Triangle DEF vertices ([-6, -7], [-3, -6], [4, -7]). Which is larger by area?", "im_path": "/images_full/task_05284_triangle_size.png", "im_dots_path": "/images/task_05284_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5285, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, -10], [-6, 7], [-6, 0]); Triangle DEF vertices ([10, -9], [-5, -7], [1, 0]). Which is larger by area?", "im_path": "/images_full/task_05285_triangle_size.png", "im_dots_path": "/images/task_05285_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5286, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, 7], [-9, -2], [4, -6]); Triangle DEF vertices ([10, 4], [8, 5], [-9, 7]). Which is larger by area?", "im_path": "/images_full/task_05286_triangle_size.png", "im_dots_path": "/images/task_05286_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5287, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, -5], [10, -1], [6, 4]); Triangle DEF vertices ([2, 8], [-4, 3], [0, 0]). Which is larger by area?", "im_path": "/images_full/task_05287_triangle_size.png", "im_dots_path": "/images/task_05287_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5288, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([7, -4], [-5, -7], [5, -8]); Triangle DEF vertices ([4, 3], [7, -3], [-7, 0]). Which is larger by area?", "im_path": "/images_full/task_05288_triangle_size.png", "im_dots_path": "/images/task_05288_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5289, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, -1], [-6, -4], [1, -7]); Triangle DEF vertices ([-10, 1], [-1, -1], [8, 0]). Which is larger by area?", "im_path": "/images_full/task_05289_triangle_size.png", "im_dots_path": "/images/task_05289_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5290, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "equal", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-6, 3], [-8, 10], [-9, -5]); Triangle DEF vertices ([-6, 3], [-8, 10], [-9, -5]). Which is larger by area?", "im_path": "/images_full/task_05290_triangle_size.png", "im_dots_path": "/images/task_05290_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "equal", "points": null}
+{"qid": 5291, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, 5], [0, 3], [-9, 9]); Triangle DEF vertices ([-10, -3], [-10, -5], [7, 9]). Which is larger by area?", "im_path": "/images_full/task_05291_triangle_size.png", "im_dots_path": "/images/task_05291_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5292, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([6, -7], [-9, 10], [-8, -10]); Triangle DEF vertices ([-4, 1], [-9, 2], [-2, -5]). Which is larger by area?", "im_path": "/images_full/task_05292_triangle_size.png", "im_dots_path": "/images/task_05292_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5293, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([9, 4], [-6, 7], [3, -5]); Triangle DEF vertices ([-9, -5], [2, 5], [5, 2]). Which is larger by area?", "im_path": "/images_full/task_05293_triangle_size.png", "im_dots_path": "/images/task_05293_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5294, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-10, 6], [10, -9], [-3, 5]); Triangle DEF vertices ([7, 3], [8, 4], [2, 9]). Which is larger by area?", "im_path": "/images_full/task_05294_triangle_size.png", "im_dots_path": "/images/task_05294_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5295, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-2, 6], [-9, -8], [0, -1]); Triangle DEF vertices ([-4, -6], [-3, 3], [-5, 1]). Which is larger by area?", "im_path": "/images_full/task_05295_triangle_size.png", "im_dots_path": "/images/task_05295_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5296, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-9, -1], [9, 8], [-8, -7]); Triangle DEF vertices ([-10, 9], [5, 9], [6, -2]). Which is larger by area?", "im_path": "/images_full/task_05296_triangle_size.png", "im_dots_path": "/images/task_05296_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5297, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([-7, -1], [10, -10], [8, -4]); Triangle DEF vertices ([3, 10], [-10, -2], [-10, 3]). Which is larger by area?", "im_path": "/images_full/task_05297_triangle_size.png", "im_dots_path": "/images/task_05297_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}
+{"qid": 5298, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "DEF", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([3, -2], [-9, 4], [-5, -1]); Triangle DEF vertices ([0, 10], [1, -7], [-10, 3]). Which is larger by area?", "im_path": "/images_full/task_05298_triangle_size.png", "im_dots_path": "/images/task_05298_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "DEF", "points": null}
+{"qid": 5299, "type": "classification", "category_id": 52, "category": "Area comparison", "difficulty": 2, "schema_type": "classification", "answer": "ABC", "choices": ["ABC", "DEF", "equal"], "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given two triangles ABC and DEF, determine which has larger area.", "question": "Triangle ABC vertices ([8, 2], [1, 10], [-3, -9]); Triangle DEF vertices ([0, 3], [8, 5], [3, 2]). Which is larger by area?", "im_path": "/images_full/task_05299_triangle_size.png", "im_dots_path": "/images/task_05299_triangle_size.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image: which triangle (ABC or DEF) has larger area?", "image_choices": ["ABC", "DEF", "equal"], "image_answer": "ABC", "points": null}

basic_coordinate/collinearity/collinearity_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 14000, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 5], "B": [9, 10], "C": [6, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, 5), B=(9, 10), C=(6, -4). Collinear?", "im_path": "/images_full/task_14000_collinear.png", "im_dots_path": "/images/task_14000_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14001, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -8], "B": [-2, -4], "C": [-3, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, -8), B=(-2, -4), C=(-3, 0). Collinear?", "im_path": "/images_full/task_14001_collinear.png", "im_dots_path": "/images/task_14001_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14002, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -6], "B": [-1, 1], "C": [6, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(6, -6), B=(-1, 1), C=(6, 1). Collinear?", "im_path": "/images_full/task_14002_collinear.png", "im_dots_path": "/images/task_14002_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14003, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 9], "B": [1, -6], "C": [-1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, 9), B=(1, -6), C=(-1, -10). Collinear?", "im_path": "/images_full/task_14003_collinear.png", "im_dots_path": "/images/task_14003_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14004, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -4], "B": [-6, -5], "C": [-7, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, -4), B=(-6, -5), C=(-7, -5). Collinear?", "im_path": "/images_full/task_14004_collinear.png", "im_dots_path": "/images/task_14004_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14005, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 4], "B": [4, -7], "C": [2, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, 4), B=(4, -7), C=(2, -3). Collinear?", "im_path": "/images_full/task_14005_collinear.png", "im_dots_path": "/images/task_14005_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14006, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -5], "B": [1, 5], "C": [-10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, -5), B=(1, 5), C=(-10, 7). Collinear?", "im_path": "/images_full/task_14006_collinear.png", "im_dots_path": "/images/task_14006_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14007, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 5], "B": [-1, -4], "C": [-9, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, 5), B=(-1, -4), C=(-9, -2). Collinear?", "im_path": "/images_full/task_14007_collinear.png", "im_dots_path": "/images/task_14007_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14008, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -1], "B": [-6, 6], "C": [90, -36]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, -1), B=(-6, 6), C=(90, -36). Collinear?", "im_path": "/images_full/task_14008_collinear.png", "im_dots_path": "/images/task_14008_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14009, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 8], "B": [-4, -10], "C": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, 8), B=(-4, -10), C=(6, -1). Collinear?", "im_path": "/images_full/task_14009_collinear.png", "im_dots_path": "/images/task_14009_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14010, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 0], "B": [10, -3], "C": [-7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(1, 0), B=(10, -3), C=(-7, -9). Collinear?", "im_path": "/images_full/task_14010_collinear.png", "im_dots_path": "/images/task_14010_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14011, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -1], "B": [10, 0], "C": [-1, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(0, -1), B=(10, 0), C=(-1, -7). Collinear?", "im_path": "/images_full/task_14011_collinear.png", "im_dots_path": "/images/task_14011_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14012, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 4], "B": [-2, 0], "C": [-3, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(8, 4), B=(-2, 0), C=(-3, -6). Collinear?", "im_path": "/images_full/task_14012_collinear.png", "im_dots_path": "/images/task_14012_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14013, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [3, 6], "C": [-4, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-10, 5), B=(3, 6), C=(-4, 10). Collinear?", "im_path": "/images_full/task_14013_collinear.png", "im_dots_path": "/images/task_14013_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14014, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -2], "B": [2, 2], "C": [10, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, -2), B=(2, 2), C=(10, -9). Collinear?", "im_path": "/images_full/task_14014_collinear.png", "im_dots_path": "/images/task_14014_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14015, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -8], "B": [6, -8], "C": [-8, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, -8), B=(6, -8), C=(-8, -5). Collinear?", "im_path": "/images_full/task_14015_collinear.png", "im_dots_path": "/images/task_14015_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14016, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 1], "B": [-8, -10], "C": [-3, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, 1), B=(-8, -10), C=(-3, -6). Collinear?", "im_path": "/images_full/task_14016_collinear.png", "im_dots_path": "/images/task_14016_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14017, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -8], "B": [-8, 3], "C": [7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, -8), B=(-8, 3), C=(7, -9). Collinear?", "im_path": "/images_full/task_14017_collinear.png", "im_dots_path": "/images/task_14017_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14018, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -8], "B": [-5, 1], "C": [-6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, -8), B=(-5, 1), C=(-6, -3). Collinear?", "im_path": "/images_full/task_14018_collinear.png", "im_dots_path": "/images/task_14018_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14019, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 9], "B": [-3, -9], "C": [25, -81]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-10, 9), B=(-3, -9), C=(25, -81). Collinear?", "im_path": "/images_full/task_14019_collinear.png", "im_dots_path": "/images/task_14019_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14020, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 9], "B": [3, -8], "C": [3, -59]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, 9), B=(3, -8), C=(3, -59). Collinear?", "im_path": "/images_full/task_14020_collinear.png", "im_dots_path": "/images/task_14020_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14021, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 8], "B": [-3, -9], "C": [-39, -60]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, 8), B=(-3, -9), C=(-39, -60). Collinear?", "im_path": "/images_full/task_14021_collinear.png", "im_dots_path": "/images/task_14021_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14022, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -9], "B": [10, 5], "C": [8, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, -9), B=(10, 5), C=(8, -4). Collinear?", "im_path": "/images_full/task_14022_collinear.png", "im_dots_path": "/images/task_14022_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14023, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 6], "B": [4, -2], "C": [6, 14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 6), B=(4, -2), C=(6, 14). Collinear?", "im_path": "/images_full/task_14023_collinear.png", "im_dots_path": "/images/task_14023_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14024, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -3], "B": [7, 2], "C": [-47, -28]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-2, -3), B=(7, 2), C=(-47, -28). Collinear?", "im_path": "/images_full/task_14024_collinear.png", "im_dots_path": "/images/task_14024_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14025, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 9], "B": [-9, -2], "C": [9, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(2, 9), B=(-9, -2), C=(9, -10). Collinear?", "im_path": "/images_full/task_14025_collinear.png", "im_dots_path": "/images/task_14025_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14026, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 1], "B": [2, 4], "C": [-6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 1), B=(2, 4), C=(-6, -9). Collinear?", "im_path": "/images_full/task_14026_collinear.png", "im_dots_path": "/images/task_14026_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14027, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 5], "B": [-8, 10], "C": [-8, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(8, 5), B=(-8, 10), C=(-8, -3). Collinear?", "im_path": "/images_full/task_14027_collinear.png", "im_dots_path": "/images/task_14027_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14028, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 7], "B": [-9, 1], "C": [3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-2, 7), B=(-9, 1), C=(3, -9). Collinear?", "im_path": "/images_full/task_14028_collinear.png", "im_dots_path": "/images/task_14028_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14029, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 1], "B": [-2, -10], "C": [19, 23]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 1), B=(-2, -10), C=(19, 23). Collinear?", "im_path": "/images_full/task_14029_collinear.png", "im_dots_path": "/images/task_14029_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14030, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 6], "B": [-1, -5], "C": [-7, -27]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(2, 6), B=(-1, -5), C=(-7, -27). Collinear?", "im_path": "/images_full/task_14030_collinear.png", "im_dots_path": "/images/task_14030_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14031, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 10], "B": [-1, -10], "C": [-36, 90]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, 10), B=(-1, -10), C=(-36, 90). Collinear?", "im_path": "/images_full/task_14031_collinear.png", "im_dots_path": "/images/task_14031_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14032, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 8], "B": [2, 2], "C": [22, 26]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, 8), B=(2, 2), C=(22, 26). Collinear?", "im_path": "/images_full/task_14032_collinear.png", "im_dots_path": "/images/task_14032_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14033, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -10], "B": [-5, -9], "C": [-5, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, -10), B=(-5, -9), C=(-5, 6). Collinear?", "im_path": "/images_full/task_14033_collinear.png", "im_dots_path": "/images/task_14033_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14034, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -10], "B": [-10, 2], "C": [8, -22]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, -10), B=(-10, 2), C=(8, -22). Collinear?", "im_path": "/images_full/task_14034_collinear.png", "im_dots_path": "/images/task_14034_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14035, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 4], "B": [-4, -7], "C": [-1, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-3, 4), B=(-4, -7), C=(-1, -3). Collinear?", "im_path": "/images_full/task_14035_collinear.png", "im_dots_path": "/images/task_14035_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14036, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 8], "B": [10, -3], "C": [10, -14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, 8), B=(10, -3), C=(10, -14). Collinear?", "im_path": "/images_full/task_14036_collinear.png", "im_dots_path": "/images/task_14036_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14037, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -7], "B": [9, -4], "C": [43, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, -7), B=(9, -4), C=(43, 2). Collinear?", "im_path": "/images_full/task_14037_collinear.png", "im_dots_path": "/images/task_14037_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14038, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -4], "B": [-1, 1], "C": [3, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-2, -4), B=(-1, 1), C=(3, -6). Collinear?", "im_path": "/images_full/task_14038_collinear.png", "im_dots_path": "/images/task_14038_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14039, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 9], "B": [6, -9], "C": [5, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 9), B=(6, -9), C=(5, -6). Collinear?", "im_path": "/images_full/task_14039_collinear.png", "im_dots_path": "/images/task_14039_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14040, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -3], "B": [-7, -3], "C": [-27, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, -3), B=(-7, -3), C=(-27, -3). Collinear?", "im_path": "/images_full/task_14040_collinear.png", "im_dots_path": "/images/task_14040_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14041, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -10], "B": [3, -8], "C": [-7, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, -10), B=(3, -8), C=(-7, 1). Collinear?", "im_path": "/images_full/task_14041_collinear.png", "im_dots_path": "/images/task_14041_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14042, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 5], "B": [-8, 7], "C": [-8, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(2, 5), B=(-8, 7), C=(-8, -6). Collinear?", "im_path": "/images_full/task_14042_collinear.png", "im_dots_path": "/images/task_14042_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14043, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 6], "B": [9, 2], "C": [0, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(2, 6), B=(9, 2), C=(0, 2). Collinear?", "im_path": "/images_full/task_14043_collinear.png", "im_dots_path": "/images/task_14043_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14044, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 4], "B": [9, -5], "C": [27, -32]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, 4), B=(9, -5), C=(27, -32). Collinear?", "im_path": "/images_full/task_14044_collinear.png", "im_dots_path": "/images/task_14044_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14045, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -2], "B": [-3, -6], "C": [1, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-7, -2), B=(-3, -6), C=(1, -10). Collinear?", "im_path": "/images_full/task_14045_collinear.png", "im_dots_path": "/images/task_14045_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14046, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 0], "B": [7, -9], "C": [-6, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, 0), B=(7, -9), C=(-6, 7). Collinear?", "im_path": "/images_full/task_14046_collinear.png", "im_dots_path": "/images/task_14046_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14047, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -5], "B": [-4, 10], "C": [-3, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-5, -5), B=(-4, 10), C=(-3, -4). Collinear?", "im_path": "/images_full/task_14047_collinear.png", "im_dots_path": "/images/task_14047_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14048, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 5], "B": [0, 9], "C": [54, -15]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, 5), B=(0, 9), C=(54, -15). Collinear?", "im_path": "/images_full/task_14048_collinear.png", "im_dots_path": "/images/task_14048_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14049, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 4], "B": [5, -9], "C": [20, -22]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-10, 4), B=(5, -9), C=(20, -22). Collinear?", "im_path": "/images_full/task_14049_collinear.png", "im_dots_path": "/images/task_14049_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14050, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 4], "B": [-4, -3], "C": [-7, -24]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-3, 4), B=(-4, -3), C=(-7, -24). Collinear?", "im_path": "/images_full/task_14050_collinear.png", "im_dots_path": "/images/task_14050_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14051, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 9], "B": [5, 7], "C": [9, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, 9), B=(5, 7), C=(9, 1). Collinear?", "im_path": "/images_full/task_14051_collinear.png", "im_dots_path": "/images/task_14051_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14052, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 9], "B": [-7, 9], "C": [3, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, 9), B=(-7, 9), C=(3, 3). Collinear?", "im_path": "/images_full/task_14052_collinear.png", "im_dots_path": "/images/task_14052_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14053, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -3], "B": [-10, -7], "C": [5, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, -3), B=(-10, -7), C=(5, 4). Collinear?", "im_path": "/images_full/task_14053_collinear.png", "im_dots_path": "/images/task_14053_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14054, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -6], "B": [2, 6], "C": [4, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, -6), B=(2, 6), C=(4, -10). Collinear?", "im_path": "/images_full/task_14054_collinear.png", "im_dots_path": "/images/task_14054_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14055, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 8], "B": [-1, -5], "C": [7, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, 8), B=(-1, -5), C=(7, 4). Collinear?", "im_path": "/images_full/task_14055_collinear.png", "im_dots_path": "/images/task_14055_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14056, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 4], "B": [2, -6], "C": [38, 54]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(8, 4), B=(2, -6), C=(38, 54). Collinear?", "im_path": "/images_full/task_14056_collinear.png", "im_dots_path": "/images/task_14056_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14057, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -3], "B": [-2, -9], "C": [5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-3, -3), B=(-2, -9), C=(5, 1). Collinear?", "im_path": "/images_full/task_14057_collinear.png", "im_dots_path": "/images/task_14057_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14058, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 1], "B": [-8, -7], "C": [4, 41]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-6, 1), B=(-8, -7), C=(4, 41). Collinear?", "im_path": "/images_full/task_14058_collinear.png", "im_dots_path": "/images/task_14058_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14059, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 3], "B": [8, -9], "C": [-4, 39]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 3), B=(8, -9), C=(-4, 39). Collinear?", "im_path": "/images_full/task_14059_collinear.png", "im_dots_path": "/images/task_14059_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14060, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [6, -5], "C": [-8, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 3), B=(6, -5), C=(-8, 8). Collinear?", "im_path": "/images_full/task_14060_collinear.png", "im_dots_path": "/images/task_14060_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14061, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 9], "B": [8, -3], "C": [16, -27]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 9), B=(8, -3), C=(16, -27). Collinear?", "im_path": "/images_full/task_14061_collinear.png", "im_dots_path": "/images/task_14061_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14062, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 3], "B": [6, 0], "C": [-12, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(0, 3), B=(6, 0), C=(-12, 9). Collinear?", "im_path": "/images_full/task_14062_collinear.png", "im_dots_path": "/images/task_14062_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14063, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 6], "B": [10, -10], "C": [3, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 6), B=(10, -10), C=(3, 9). Collinear?", "im_path": "/images_full/task_14063_collinear.png", "im_dots_path": "/images/task_14063_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14064, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 1], "B": [-6, -1], "C": [2, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-2, 1), B=(-6, -1), C=(2, 3). Collinear?", "im_path": "/images_full/task_14064_collinear.png", "im_dots_path": "/images/task_14064_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14065, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 2], "B": [-5, 9], "C": [3, -19]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-3, 2), B=(-5, 9), C=(3, -19). Collinear?", "im_path": "/images_full/task_14065_collinear.png", "im_dots_path": "/images/task_14065_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14066, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 7], "B": [-9, -10], "C": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-7, 7), B=(-9, -10), C=(6, -1). Collinear?", "im_path": "/images_full/task_14066_collinear.png", "im_dots_path": "/images/task_14066_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14067, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -2], "B": [3, 3], "C": [23, -17]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(8, -2), B=(3, 3), C=(23, -17). Collinear?", "im_path": "/images_full/task_14067_collinear.png", "im_dots_path": "/images/task_14067_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14068, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 5], "B": [0, 8], "C": [-54, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-9, 5), B=(0, 8), C=(-54, -10). Collinear?", "im_path": "/images_full/task_14068_collinear.png", "im_dots_path": "/images/task_14068_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14069, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -7], "B": [-5, -4], "C": [-2, -13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, -7), B=(-5, -4), C=(-2, -13). Collinear?", "im_path": "/images_full/task_14069_collinear.png", "im_dots_path": "/images/task_14069_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14070, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 1], "B": [-9, -6], "C": [-3, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 1), B=(-9, -6), C=(-3, 0). Collinear?", "im_path": "/images_full/task_14070_collinear.png", "im_dots_path": "/images/task_14070_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14071, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -4], "B": [-10, -10], "C": [-49, -28]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(3, -4), B=(-10, -10), C=(-49, -28). Collinear?", "im_path": "/images_full/task_14071_collinear.png", "im_dots_path": "/images/task_14071_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14072, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 3], "B": [9, 5], "C": [-69, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, 3), B=(9, 5), C=(-69, -7). Collinear?", "im_path": "/images_full/task_14072_collinear.png", "im_dots_path": "/images/task_14072_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14073, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 2], "B": [7, -4], "C": [3, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 2), B=(7, -4), C=(3, -5). Collinear?", "im_path": "/images_full/task_14073_collinear.png", "im_dots_path": "/images/task_14073_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14074, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 8], "B": [3, 10], "C": [-21, 18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, 8), B=(3, 10), C=(-21, 18). Collinear?", "im_path": "/images_full/task_14074_collinear.png", "im_dots_path": "/images/task_14074_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14075, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 5], "B": [1, -10], "C": [-9, 65]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-1, 5), B=(1, -10), C=(-9, 65). Collinear?", "im_path": "/images_full/task_14075_collinear.png", "im_dots_path": "/images/task_14075_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14076, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 3], "B": [-2, -7], "C": [-2, -27]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-2, 3), B=(-2, -7), C=(-2, -27). Collinear?", "im_path": "/images_full/task_14076_collinear.png", "im_dots_path": "/images/task_14076_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14077, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 0], "B": [-10, 5], "C": [-6, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(8, 0), B=(-10, 5), C=(-6, 5). Collinear?", "im_path": "/images_full/task_14077_collinear.png", "im_dots_path": "/images/task_14077_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14078, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 9], "B": [3, 10], "C": [9, 13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(1, 9), B=(3, 10), C=(9, 13). Collinear?", "im_path": "/images_full/task_14078_collinear.png", "im_dots_path": "/images/task_14078_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14079, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -5], "B": [-4, 2], "C": [-28, -40]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, -5), B=(-4, 2), C=(-28, -40). Collinear?", "im_path": "/images_full/task_14079_collinear.png", "im_dots_path": "/images/task_14079_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14080, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 3], "B": [1, 8], "C": [10, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, 3), B=(1, 8), C=(10, -9). Collinear?", "im_path": "/images_full/task_14080_collinear.png", "im_dots_path": "/images/task_14080_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14081, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -6], "B": [9, 9], "C": [-56, -66]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-4, -6), B=(9, 9), C=(-56, -66). Collinear?", "im_path": "/images_full/task_14081_collinear.png", "im_dots_path": "/images/task_14081_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14082, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -7], "B": [3, -9], "C": [-2, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(6, -7), B=(3, -9), C=(-2, -9). Collinear?", "im_path": "/images_full/task_14082_collinear.png", "im_dots_path": "/images/task_14082_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14083, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 5], "B": [-5, 0], "C": [9, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 5), B=(-5, 0), C=(9, -6). Collinear?", "im_path": "/images_full/task_14083_collinear.png", "im_dots_path": "/images/task_14083_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14084, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 2], "B": [5, -4], "C": [-3, -28]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, 2), B=(5, -4), C=(-3, -28). Collinear?", "im_path": "/images_full/task_14084_collinear.png", "im_dots_path": "/images/task_14084_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14085, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -4], "B": [7, 7], "C": [7, -48]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(7, -4), B=(7, 7), C=(7, -48). Collinear?", "im_path": "/images_full/task_14085_collinear.png", "im_dots_path": "/images/task_14085_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14086, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 1], "B": [5, -7], "C": [5, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-5, 1), B=(5, -7), C=(5, -1). Collinear?", "im_path": "/images_full/task_14086_collinear.png", "im_dots_path": "/images/task_14086_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14087, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -7], "B": [1, 1], "C": [-26, 25]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, -7), B=(1, 1), C=(-26, 25). Collinear?", "im_path": "/images_full/task_14087_collinear.png", "im_dots_path": "/images/task_14087_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14088, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 0], "B": [-3, -10], "C": [2, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(10, 0), B=(-3, -10), C=(2, 2). Collinear?", "im_path": "/images_full/task_14088_collinear.png", "im_dots_path": "/images/task_14088_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14089, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -2], "B": [2, 0], "C": [-3, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(1, -2), B=(2, 0), C=(-3, -10). Collinear?", "im_path": "/images_full/task_14089_collinear.png", "im_dots_path": "/images/task_14089_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14090, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -9], "B": [2, -9], "C": [-28, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-8, -9), B=(2, -9), C=(-28, -9). Collinear?", "im_path": "/images_full/task_14090_collinear.png", "im_dots_path": "/images/task_14090_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14091, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 10], "B": [1, 10], "C": [-3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(4, 10), B=(1, 10), C=(-3, -9). Collinear?", "im_path": "/images_full/task_14091_collinear.png", "im_dots_path": "/images/task_14091_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14092, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 3], "B": [-6, -8], "C": [3, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(5, 3), B=(-6, -8), C=(3, -1). Collinear?", "im_path": "/images_full/task_14092_collinear.png", "im_dots_path": "/images/task_14092_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14093, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 9], "B": [6, -8], "C": [24, -59]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(0, 9), B=(6, -8), C=(24, -59). Collinear?", "im_path": "/images_full/task_14093_collinear.png", "im_dots_path": "/images/task_14093_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14094, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 7], "B": [8, 4], "C": [-10, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-10, 7), B=(8, 4), C=(-10, -2). Collinear?", "im_path": "/images_full/task_14094_collinear.png", "im_dots_path": "/images/task_14094_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14095, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 6], "B": [3, -1], "C": [-27, 34]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(-3, 6), B=(3, -1), C=(-27, 34). Collinear?", "im_path": "/images_full/task_14095_collinear.png", "im_dots_path": "/images/task_14095_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14096, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -1], "B": [2, 3], "C": [0, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, -1), B=(2, 3), C=(0, 2). Collinear?", "im_path": "/images_full/task_14096_collinear.png", "im_dots_path": "/images/task_14096_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14097, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -10], "B": [-3, -10], "C": [10, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(2, -10), B=(-3, -10), C=(10, 5). Collinear?", "im_path": "/images_full/task_14097_collinear.png", "im_dots_path": "/images/task_14097_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 14098, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 1], "B": [1, 9], "C": [33, -23]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(9, 1), B=(1, 9), C=(33, -23). Collinear?", "im_path": "/images_full/task_14098_collinear.png", "im_dots_path": "/images/task_14098_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 14099, "type": "classification", "category_id": 140, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -3], "B": [2, 2], "C": [-2, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a geometry expert. Determine if A,B,C are collinear and provide the line equation.", "question": "Points A=(0, -3), B=(2, 2), C=(-2, -8). Collinear?", "im_path": "/images_full/task_14099_collinear.png", "im_dots_path": "/images/task_14099_collinear.png", "image_system_prompt": "Refer to image to decide collinearity and line eq.", "image_question": "Are A, B, C collinear? If so, what's the line equation?", "image_choices": ["yes", "no"], "image_answer": "yes"}

basic_coordinate/midpoint_coordinates/midpoint_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 7000, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, -6], "B": [-2, 7]}, "answer": {"point": [-5.0, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -6), B=(-2, 7). Find midpoint M.", "im_path": "/images_full/task_07000_midpoint.png", "im_dots_path": "/images/task_07000_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.0, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 7001, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, 0], "B": [-8, 6]}, "answer": {"point": [-9.0, 3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 0), B=(-8, 6). Find midpoint M.", "im_path": "/images_full/task_07001_midpoint.png", "im_dots_path": "/images/task_07001_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-9.0, 3.0]}, "choices": null, "image_choices": null}
+{"qid": 7002, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, -4], "B": [8, 7]}, "answer": {"point": [0.5, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -4), B=(8, 7). Find midpoint M.", "im_path": "/images_full/task_07002_midpoint.png", "im_dots_path": "/images/task_07002_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.5, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 7003, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 5], "B": [-2, 6]}, "answer": {"point": [0.5, 5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 5), B=(-2, 6). Find midpoint M.", "im_path": "/images_full/task_07003_midpoint.png", "im_dots_path": "/images/task_07003_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.5, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 7004, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [8, -4], "B": [-5, -7]}, "answer": {"point": [1.5, -5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -4), B=(-5, -7). Find midpoint M.", "im_path": "/images_full/task_07004_midpoint.png", "im_dots_path": "/images/task_07004_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 7005, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, -4], "B": [4, 2]}, "answer": {"point": [5.0, -1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -4), B=(4, 2). Find midpoint M.", "im_path": "/images_full/task_07005_midpoint.png", "im_dots_path": "/images/task_07005_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 7006, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -4], "B": [4, -4]}, "answer": {"point": [7.0, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -4), B=(4, -4). Find midpoint M.", "im_path": "/images_full/task_07006_midpoint.png", "im_dots_path": "/images/task_07006_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [7.0, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7007, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -4], "B": [-5, 10]}, "answer": {"point": [2.5, 3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -4), B=(-5, 10). Find midpoint M.", "im_path": "/images_full/task_07007_midpoint.png", "im_dots_path": "/images/task_07007_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.5, 3.0]}, "choices": null, "image_choices": null}
+{"qid": 7008, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, 9], "B": [0, -4]}, "answer": {"point": [2.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 9), B=(0, -4). Find midpoint M.", "im_path": "/images_full/task_07008_midpoint.png", "im_dots_path": "/images/task_07008_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7009, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [8, -1], "B": [5, -10]}, "answer": {"point": [6.5, -5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -1), B=(5, -10). Find midpoint M.", "im_path": "/images_full/task_07009_midpoint.png", "im_dots_path": "/images/task_07009_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [6.5, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 7010, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -2], "B": [8, 7]}, "answer": {"point": [5.0, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -2), B=(8, 7). Find midpoint M.", "im_path": "/images_full/task_07010_midpoint.png", "im_dots_path": "/images/task_07010_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7011, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, 1], "B": [-3, -2]}, "answer": {"point": [-5.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 1), B=(-3, -2). Find midpoint M.", "im_path": "/images_full/task_07011_midpoint.png", "im_dots_path": "/images/task_07011_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7012, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -2], "B": [1, 7]}, "answer": {"point": [1.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -2), B=(1, 7). Find midpoint M.", "im_path": "/images_full/task_07012_midpoint.png", "im_dots_path": "/images/task_07012_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7013, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, 2], "B": [-7, 1]}, "answer": {"point": [-6.5, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 2), B=(-7, 1). Find midpoint M.", "im_path": "/images_full/task_07013_midpoint.png", "im_dots_path": "/images/task_07013_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-6.5, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 7014, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 0], "B": [10, -6]}, "answer": {"point": [6.0, -3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 0), B=(10, -6). Find midpoint M.", "im_path": "/images_full/task_07014_midpoint.png", "im_dots_path": "/images/task_07014_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [6.0, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 7015, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, 10], "B": [1, 10]}, "answer": {"point": [-1.5, 10.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 10), B=(1, 10). Find midpoint M.", "im_path": "/images_full/task_07015_midpoint.png", "im_dots_path": "/images/task_07015_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.5, 10.0]}, "choices": null, "image_choices": null}
+{"qid": 7016, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, 1], "B": [-9, 1]}, "answer": {"point": [-6.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 1), B=(-9, 1). Find midpoint M.", "im_path": "/images_full/task_07016_midpoint.png", "im_dots_path": "/images/task_07016_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-6.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7017, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 6], "B": [9, -6]}, "answer": {"point": [6.0, 0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 6), B=(9, -6). Find midpoint M.", "im_path": "/images_full/task_07017_midpoint.png", "im_dots_path": "/images/task_07017_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [6.0, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 7018, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [0, 2], "B": [4, 8]}, "answer": {"point": [2.0, 5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 2), B=(4, 8). Find midpoint M.", "im_path": "/images_full/task_07018_midpoint.png", "im_dots_path": "/images/task_07018_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.0, 5.0]}, "choices": null, "image_choices": null}
+{"qid": 7019, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [9, 4], "B": [6, -2]}, "answer": {"point": [7.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 4), B=(6, -2). Find midpoint M.", "im_path": "/images_full/task_07019_midpoint.png", "im_dots_path": "/images/task_07019_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [7.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7020, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, -6], "B": [9, 8]}, "answer": {"point": [1.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -6), B=(9, 8). Find midpoint M.", "im_path": "/images_full/task_07020_midpoint.png", "im_dots_path": "/images/task_07020_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7021, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, 7], "B": [1, 4]}, "answer": {"point": [-4.5, 5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 7), B=(1, 4). Find midpoint M.", "im_path": "/images_full/task_07021_midpoint.png", "im_dots_path": "/images/task_07021_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.5, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 7022, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [7, 5], "B": [-7, -10]}, "answer": {"point": [0.0, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, 5), B=(-7, -10). Find midpoint M.", "im_path": "/images_full/task_07022_midpoint.png", "im_dots_path": "/images/task_07022_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.0, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 7023, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 10], "B": [-7, 6]}, "answer": {"point": [-5.0, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, 10), B=(-7, 6). Find midpoint M.", "im_path": "/images_full/task_07023_midpoint.png", "im_dots_path": "/images/task_07023_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.0, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 7024, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 7], "B": [1, -2]}, "answer": {"point": [-1.0, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, 7), B=(1, -2). Find midpoint M.", "im_path": "/images_full/task_07024_midpoint.png", "im_dots_path": "/images/task_07024_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.0, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7025, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -6], "B": [-6, -2]}, "answer": {"point": [-0.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -6), B=(-6, -2). Find midpoint M.", "im_path": "/images_full/task_07025_midpoint.png", "im_dots_path": "/images/task_07025_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7026, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -10], "B": [-4, -10]}, "answer": {"point": [0.5, -10.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -10), B=(-4, -10). Find midpoint M.", "im_path": "/images_full/task_07026_midpoint.png", "im_dots_path": "/images/task_07026_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.5, -10.0]}, "choices": null, "image_choices": null}
+{"qid": 7027, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 8], "B": [-3, 10]}, "answer": {"point": [-4.0, 9.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 8), B=(-3, 10). Find midpoint M.", "im_path": "/images_full/task_07027_midpoint.png", "im_dots_path": "/images/task_07027_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.0, 9.0]}, "choices": null, "image_choices": null}
+{"qid": 7028, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -3], "B": [-2, 8]}, "answer": {"point": [-3.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -3), B=(-2, 8). Find midpoint M.", "im_path": "/images_full/task_07028_midpoint.png", "im_dots_path": "/images/task_07028_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-3.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7029, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -1], "B": [10, 10]}, "answer": {"point": [3.5, 4.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -1), B=(10, 10). Find midpoint M.", "im_path": "/images_full/task_07029_midpoint.png", "im_dots_path": "/images/task_07029_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [3.5, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 7030, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -5], "B": [1, -2]}, "answer": {"point": [3.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -5), B=(1, -2). Find midpoint M.", "im_path": "/images_full/task_07030_midpoint.png", "im_dots_path": "/images/task_07030_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [3.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 7031, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 9], "B": [10, -10]}, "answer": {"point": [1.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 9), B=(10, -10). Find midpoint M.", "im_path": "/images_full/task_07031_midpoint.png", "im_dots_path": "/images/task_07031_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7032, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 5], "B": [-4, 9]}, "answer": {"point": [-1.0, 7.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 5), B=(-4, 9). Find midpoint M.", "im_path": "/images_full/task_07032_midpoint.png", "im_dots_path": "/images/task_07032_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.0, 7.0]}, "choices": null, "image_choices": null}
+{"qid": 7033, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, 9], "B": [-4, -6]}, "answer": {"point": [-4.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 9), B=(-4, -6). Find midpoint M.", "im_path": "/images_full/task_07033_midpoint.png", "im_dots_path": "/images/task_07033_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 7034, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 1], "B": [3, -2]}, "answer": {"point": [-2.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 1), B=(3, -2). Find midpoint M.", "im_path": "/images_full/task_07034_midpoint.png", "im_dots_path": "/images/task_07034_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7035, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 4], "B": [-8, 0]}, "answer": {"point": [-2.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 4), B=(-8, 0). Find midpoint M.", "im_path": "/images_full/task_07035_midpoint.png", "im_dots_path": "/images/task_07035_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 7036, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, 6], "B": [2, 3]}, "answer": {"point": [-2.5, 4.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 6), B=(2, 3). Find midpoint M.", "im_path": "/images_full/task_07036_midpoint.png", "im_dots_path": "/images/task_07036_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.5, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 7037, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 7], "B": [-3, -8]}, "answer": {"point": [-5.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 7), B=(-3, -8). Find midpoint M.", "im_path": "/images_full/task_07037_midpoint.png", "im_dots_path": "/images/task_07037_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7038, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, -7], "B": [10, 0]}, "answer": {"point": [8.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -7), B=(10, 0). Find midpoint M.", "im_path": "/images_full/task_07038_midpoint.png", "im_dots_path": "/images/task_07038_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [8.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 7039, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [9, -3], "B": [-6, -5]}, "answer": {"point": [1.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -3), B=(-6, -5). Find midpoint M.", "im_path": "/images_full/task_07039_midpoint.png", "im_dots_path": "/images/task_07039_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7040, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -4], "B": [-6, 5]}, "answer": {"point": [-4.5, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -4), B=(-6, 5). Find midpoint M.", "im_path": "/images_full/task_07040_midpoint.png", "im_dots_path": "/images/task_07040_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.5, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 7041, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [1, 0], "B": [-4, 5]}, "answer": {"point": [-1.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 0), B=(-4, 5). Find midpoint M.", "im_path": "/images_full/task_07041_midpoint.png", "im_dots_path": "/images/task_07041_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7042, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 10], "B": [7, 9]}, "answer": {"point": [5.0, 9.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 10), B=(7, 9). Find midpoint M.", "im_path": "/images_full/task_07042_midpoint.png", "im_dots_path": "/images/task_07042_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, 9.5]}, "choices": null, "image_choices": null}
+{"qid": 7043, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [0, -3], "B": [8, 8]}, "answer": {"point": [4.0, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -3), B=(8, 8). Find midpoint M.", "im_path": "/images_full/task_07043_midpoint.png", "im_dots_path": "/images/task_07043_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [4.0, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7044, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 10], "B": [-8, -5]}, "answer": {"point": [-6.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 10), B=(-8, -5). Find midpoint M.", "im_path": "/images_full/task_07044_midpoint.png", "im_dots_path": "/images/task_07044_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-6.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7045, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 4], "B": [-3, 9]}, "answer": {"point": [3.5, 6.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 4), B=(-3, 9). Find midpoint M.", "im_path": "/images_full/task_07045_midpoint.png", "im_dots_path": "/images/task_07045_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [3.5, 6.5]}, "choices": null, "image_choices": null}
+{"qid": 7046, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -3], "B": [0, 5]}, "answer": {"point": [-1.0, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -3), B=(0, 5). Find midpoint M.", "im_path": "/images_full/task_07046_midpoint.png", "im_dots_path": "/images/task_07046_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.0, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7047, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-1, -10], "B": [0, -10]}, "answer": {"point": [-0.5, -10.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -10), B=(0, -10). Find midpoint M.", "im_path": "/images_full/task_07047_midpoint.png", "im_dots_path": "/images/task_07047_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -10.0]}, "choices": null, "image_choices": null}
+{"qid": 7048, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -4], "B": [-9, -9]}, "answer": {"point": [-2.0, -6.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -4), B=(-9, -9). Find midpoint M.", "im_path": "/images_full/task_07048_midpoint.png", "im_dots_path": "/images/task_07048_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.0, -6.5]}, "choices": null, "image_choices": null}
+{"qid": 7049, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 4], "B": [3, 0]}, "answer": {"point": [4.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 4), B=(3, 0). Find midpoint M.", "im_path": "/images_full/task_07049_midpoint.png", "im_dots_path": "/images/task_07049_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [4.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 7050, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [9, -7], "B": [2, -3]}, "answer": {"point": [5.5, -5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -7), B=(2, -3). Find midpoint M.", "im_path": "/images_full/task_07050_midpoint.png", "im_dots_path": "/images/task_07050_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.5, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 7051, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -2], "B": [8, -10]}, "answer": {"point": [-0.5, -6.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, -2), B=(8, -10). Find midpoint M.", "im_path": "/images_full/task_07051_midpoint.png", "im_dots_path": "/images/task_07051_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -6.0]}, "choices": null, "image_choices": null}
+{"qid": 7052, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, 9], "B": [-7, -6]}, "answer": {"point": [-5.5, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 9), B=(-7, -6). Find midpoint M.", "im_path": "/images_full/task_07052_midpoint.png", "im_dots_path": "/images/task_07052_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.5, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 7053, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [7, -5], "B": [-4, 0]}, "answer": {"point": [1.5, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -5), B=(-4, 0). Find midpoint M.", "im_path": "/images_full/task_07053_midpoint.png", "im_dots_path": "/images/task_07053_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 7054, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 7], "B": [-4, 1]}, "answer": {"point": [1.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 7), B=(-4, 1). Find midpoint M.", "im_path": "/images_full/task_07054_midpoint.png", "im_dots_path": "/images/task_07054_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 7055, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 0], "B": [7, -10]}, "answer": {"point": [-0.5, -5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 0), B=(7, -10). Find midpoint M.", "im_path": "/images_full/task_07055_midpoint.png", "im_dots_path": "/images/task_07055_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 7056, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [7, -7], "B": [-5, 8]}, "answer": {"point": [1.0, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -7), B=(-5, 8). Find midpoint M.", "im_path": "/images_full/task_07056_midpoint.png", "im_dots_path": "/images/task_07056_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 7057, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -3], "B": [8, 5]}, "answer": {"point": [5.0, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -3), B=(8, 5). Find midpoint M.", "im_path": "/images_full/task_07057_midpoint.png", "im_dots_path": "/images/task_07057_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7058, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, -10], "B": [-10, -6]}, "answer": {"point": [-8.5, -8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -10), B=(-10, -6). Find midpoint M.", "im_path": "/images_full/task_07058_midpoint.png", "im_dots_path": "/images/task_07058_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-8.5, -8.0]}, "choices": null, "image_choices": null}
+{"qid": 7059, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -1], "B": [4, 9]}, "answer": {"point": [0.5, 4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -1), B=(4, 9). Find midpoint M.", "im_path": "/images_full/task_07059_midpoint.png", "im_dots_path": "/images/task_07059_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.5, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 7060, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -9], "B": [-2, -10]}, "answer": {"point": [1.5, -9.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -9), B=(-2, -10). Find midpoint M.", "im_path": "/images_full/task_07060_midpoint.png", "im_dots_path": "/images/task_07060_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, -9.5]}, "choices": null, "image_choices": null}
+{"qid": 7061, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -8], "B": [-7, 0]}, "answer": {"point": [-4.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -8), B=(-7, 0). Find midpoint M.", "im_path": "/images_full/task_07061_midpoint.png", "im_dots_path": "/images/task_07061_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7062, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 7], "B": [-3, 9]}, "answer": {"point": [-4.0, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 7), B=(-3, 9). Find midpoint M.", "im_path": "/images_full/task_07062_midpoint.png", "im_dots_path": "/images/task_07062_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.0, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 7063, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, 0], "B": [-9, -1]}, "answer": {"point": [-9.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 0), B=(-9, -1). Find midpoint M.", "im_path": "/images_full/task_07063_midpoint.png", "im_dots_path": "/images/task_07063_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-9.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7064, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [5, 6], "B": [-7, -10]}, "answer": {"point": [-1.0, -2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 6), B=(-7, -10). Find midpoint M.", "im_path": "/images_full/task_07064_midpoint.png", "im_dots_path": "/images/task_07064_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.0, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 7065, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, -10], "B": [7, -5]}, "answer": {"point": [-1.5, -7.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -10), B=(7, -5). Find midpoint M.", "im_path": "/images_full/task_07065_midpoint.png", "im_dots_path": "/images/task_07065_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.5, -7.5]}, "choices": null, "image_choices": null}
+{"qid": 7066, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [4, 0], "B": [-10, 8]}, "answer": {"point": [-3.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 0), B=(-10, 8). Find midpoint M.", "im_path": "/images_full/task_07066_midpoint.png", "im_dots_path": "/images/task_07066_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-3.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 7067, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -7], "B": [8, 6]}, "answer": {"point": [3.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -7), B=(8, 6). Find midpoint M.", "im_path": "/images_full/task_07067_midpoint.png", "im_dots_path": "/images/task_07067_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [3.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7068, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -6], "B": [10, -2]}, "answer": {"point": [0.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, -6), B=(10, -2). Find midpoint M.", "im_path": "/images_full/task_07068_midpoint.png", "im_dots_path": "/images/task_07068_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [0.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7069, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 5], "B": [5, 10]}, "answer": {"point": [1.0, 7.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, 5), B=(5, 10). Find midpoint M.", "im_path": "/images_full/task_07069_midpoint.png", "im_dots_path": "/images/task_07069_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 7.5]}, "choices": null, "image_choices": null}
+{"qid": 7070, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [0, 7], "B": [-1, -8]}, "answer": {"point": [-0.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 7), B=(-1, -8). Find midpoint M.", "im_path": "/images_full/task_07070_midpoint.png", "im_dots_path": "/images/task_07070_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7071, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [4, 6], "B": [-9, -6]}, "answer": {"point": [-2.5, 0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 6), B=(-9, -6). Find midpoint M.", "im_path": "/images_full/task_07071_midpoint.png", "im_dots_path": "/images/task_07071_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.5, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 7072, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [9, 2], "B": [6, -2]}, "answer": {"point": [7.5, 0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 2), B=(6, -2). Find midpoint M.", "im_path": "/images_full/task_07072_midpoint.png", "im_dots_path": "/images/task_07072_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [7.5, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 7073, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 1], "B": [-3, 9]}, "answer": {"point": [-5.5, 5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 1), B=(-3, 9). Find midpoint M.", "im_path": "/images_full/task_07073_midpoint.png", "im_dots_path": "/images/task_07073_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-5.5, 5.0]}, "choices": null, "image_choices": null}
+{"qid": 7074, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, -7], "B": [3, 9]}, "answer": {"point": [-3.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -7), B=(3, 9). Find midpoint M.", "im_path": "/images_full/task_07074_midpoint.png", "im_dots_path": "/images/task_07074_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-3.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7075, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -1], "B": [-1, -7]}, "answer": {"point": [-2.0, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -1), B=(-1, -7). Find midpoint M.", "im_path": "/images_full/task_07075_midpoint.png", "im_dots_path": "/images/task_07075_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.0, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 7076, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -7], "B": [2, -7]}, "answer": {"point": [-1.5, -7.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -7), B=(2, -7). Find midpoint M.", "im_path": "/images_full/task_07076_midpoint.png", "im_dots_path": "/images/task_07076_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.5, -7.0]}, "choices": null, "image_choices": null}
+{"qid": 7077, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 3], "B": [9, 7]}, "answer": {"point": [5.5, 5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 3), B=(9, 7). Find midpoint M.", "im_path": "/images_full/task_07077_midpoint.png", "im_dots_path": "/images/task_07077_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.5, 5.0]}, "choices": null, "image_choices": null}
+{"qid": 7078, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -10], "B": [0, 10]}, "answer": {"point": [2.0, 0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -10), B=(0, 10). Find midpoint M.", "im_path": "/images_full/task_07078_midpoint.png", "im_dots_path": "/images/task_07078_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.0, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 7079, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 3], "B": [0, 4]}, "answer": {"point": [1.0, 3.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 3), B=(0, 4). Find midpoint M.", "im_path": "/images_full/task_07079_midpoint.png", "im_dots_path": "/images/task_07079_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 3.5]}, "choices": null, "image_choices": null}
+{"qid": 7080, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [3, -10], "B": [7, -6]}, "answer": {"point": [5.0, -8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, -10), B=(7, -6). Find midpoint M.", "im_path": "/images_full/task_07080_midpoint.png", "im_dots_path": "/images/task_07080_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, -8.0]}, "choices": null, "image_choices": null}
+{"qid": 7081, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, 4], "B": [-2, -5]}, "answer": {"point": [-4.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 4), B=(-2, -5). Find midpoint M.", "im_path": "/images_full/task_07081_midpoint.png", "im_dots_path": "/images/task_07081_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7082, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [1, 10], "B": [1, 6]}, "answer": {"point": [1.0, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 10), B=(1, 6). Find midpoint M.", "im_path": "/images_full/task_07082_midpoint.png", "im_dots_path": "/images/task_07082_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 7083, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [1, -10], "B": [3, -2]}, "answer": {"point": [2.0, -6.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -10), B=(3, -2). Find midpoint M.", "im_path": "/images_full/task_07083_midpoint.png", "im_dots_path": "/images/task_07083_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.0, -6.0]}, "choices": null, "image_choices": null}
+{"qid": 7084, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [9, -3], "B": [1, -3]}, "answer": {"point": [5.0, -3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -3), B=(1, -3). Find midpoint M.", "im_path": "/images_full/task_07084_midpoint.png", "im_dots_path": "/images/task_07084_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [5.0, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 7085, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-1, -9], "B": [6, 4]}, "answer": {"point": [2.5, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -9), B=(6, 4). Find midpoint M.", "im_path": "/images_full/task_07085_midpoint.png", "im_dots_path": "/images/task_07085_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.5, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 7086, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -1], "B": [-8, 2]}, "answer": {"point": [1.0, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -1), B=(-8, 2). Find midpoint M.", "im_path": "/images_full/task_07086_midpoint.png", "im_dots_path": "/images/task_07086_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.0, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 7087, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 5], "B": [10, -9]}, "answer": {"point": [10.0, -2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 5), B=(10, -9). Find midpoint M.", "im_path": "/images_full/task_07087_midpoint.png", "im_dots_path": "/images/task_07087_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [10.0, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 7088, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, -6], "B": [-9, -7]}, "answer": {"point": [-1.5, -6.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -6), B=(-9, -7). Find midpoint M.", "im_path": "/images_full/task_07088_midpoint.png", "im_dots_path": "/images/task_07088_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.5, -6.5]}, "choices": null, "image_choices": null}
+{"qid": 7089, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, 5], "B": [10, -10]}, "answer": {"point": [1.5, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 5), B=(10, -10). Find midpoint M.", "im_path": "/images_full/task_07089_midpoint.png", "im_dots_path": "/images/task_07089_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [1.5, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 7090, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -3], "B": [6, -1]}, "answer": {"point": [2.0, -2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -3), B=(6, -1). Find midpoint M.", "im_path": "/images_full/task_07090_midpoint.png", "im_dots_path": "/images/task_07090_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.0, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 7091, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 1], "B": [-7, -2]}, "answer": {"point": [-0.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 1), B=(-7, -2). Find midpoint M.", "im_path": "/images_full/task_07091_midpoint.png", "im_dots_path": "/images/task_07091_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-0.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7092, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 6], "B": [-10, 2]}, "answer": {"point": [-4.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 6), B=(-10, 2). Find midpoint M.", "im_path": "/images_full/task_07092_midpoint.png", "im_dots_path": "/images/task_07092_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-4.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 7093, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -7], "B": [-9, 6]}, "answer": {"point": [-7.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -7), B=(-9, 6). Find midpoint M.", "im_path": "/images_full/task_07093_midpoint.png", "im_dots_path": "/images/task_07093_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-7.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 7094, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -4], "B": [-6, 8]}, "answer": {"point": [-1.0, 2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -4), B=(-6, 8). Find midpoint M.", "im_path": "/images_full/task_07094_midpoint.png", "im_dots_path": "/images/task_07094_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-1.0, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 7095, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 5], "B": [-2, 0]}, "answer": {"point": [4.0, 2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 5), B=(-2, 0). Find midpoint M.", "im_path": "/images_full/task_07095_midpoint.png", "im_dots_path": "/images/task_07095_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [4.0, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 7096, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 5], "B": [2, -1]}, "answer": {"point": [4.0, 2.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 5), B=(2, -1). Find midpoint M.", "im_path": "/images_full/task_07096_midpoint.png", "im_dots_path": "/images/task_07096_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [4.0, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 7097, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, 0], "B": [5, 2]}, "answer": {"point": [-2.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 0), B=(5, 2). Find midpoint M.", "im_path": "/images_full/task_07097_midpoint.png", "im_dots_path": "/images/task_07097_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-2.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 7098, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -9], "B": [7, -6]}, "answer": {"point": [2.5, -7.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -9), B=(7, -6). Find midpoint M.", "im_path": "/images_full/task_07098_midpoint.png", "im_dots_path": "/images/task_07098_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [2.5, -7.5]}, "choices": null, "image_choices": null}
+{"qid": 7099, "type": "numeric", "category_id": 70, "category": "Basic coordinate tasks", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, -2], "B": [-2, -6]}, "answer": {"point": [-6.0, -4.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -2), B=(-2, -6). Find midpoint M.", "im_path": "/images_full/task_07099_midpoint.png", "im_dots_path": "/images/task_07099_midpoint.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Where is the midpoint M of segment AB?", "image_answer": {"point": [-6.0, -4.0]}, "choices": null, "image_choices": null}

basic_coordinate/parallelogram_area/parallelogram_area_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 9100, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, -2], "B": [2, 1], "C": [-2, 5], "D": [-7, 2]}, "answer": 32, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, -2), B=(2, 1), C=(-2, 5), D=(-7, 2). What is its area?", "im_path": "/images_full/task_09100_parallelogram_area.png", "im_dots_path": "/images/task_09100_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 32, "choices": null, "image_choices": null}
+{"qid": 9101, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, 0], "B": [9, 4], "C": [7, 3], "D": [3, -1]}, "answer": 4, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(5, 0), B=(9, 4), C=(7, 3), D=(3, -1). What is its area?", "im_path": "/images_full/task_09101_parallelogram_area.png", "im_dots_path": "/images/task_09101_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 4, "choices": null, "image_choices": null}
+{"qid": 9102, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-4, -2], "B": [-2, 1], "C": [4, 1], "D": [2, -2]}, "answer": 18, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-4, -2), B=(-2, 1), C=(4, 1), D=(2, -2). What is its area?", "im_path": "/images_full/task_09102_parallelogram_area.png", "im_dots_path": "/images/task_09102_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 18, "choices": null, "image_choices": null}
+{"qid": 9103, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, 4], "B": [6, 9], "C": [8, 4], "D": [2, -1]}, "answer": 40, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(0, 4), B=(6, 9), C=(8, 4), D=(2, -1). What is its area?", "im_path": "/images_full/task_09103_parallelogram_area.png", "im_dots_path": "/images/task_09103_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 40, "choices": null, "image_choices": null}
+{"qid": 9104, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, 4], "B": [-2, 9], "C": [3, 4], "D": [2, -1]}, "answer": 30, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, 4), B=(-2, 9), C=(3, 4), D=(2, -1). What is its area?", "im_path": "/images_full/task_09104_parallelogram_area.png", "im_dots_path": "/images/task_09104_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 30, "choices": null, "image_choices": null}
+{"qid": 9105, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [1, 5], "B": [7, 7], "C": [13, 4], "D": [7, 2]}, "answer": 30, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(1, 5), B=(7, 7), C=(13, 4), D=(7, 2). What is its area?", "im_path": "/images_full/task_09105_parallelogram_area.png", "im_dots_path": "/images/task_09105_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 30, "choices": null, "image_choices": null}
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+{"qid": 9109, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, -5], "B": [3, -3], "C": [6, 1], "D": [3, -1]}, "answer": 6, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(0, -5), B=(3, -3), C=(6, 1), D=(3, -1). What is its area?", "im_path": "/images_full/task_09109_parallelogram_area.png", "im_dots_path": "/images/task_09109_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 6, "choices": null, "image_choices": null}
+{"qid": 9110, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, 0], "B": [9, 2], "C": [11, 0], "D": [7, -2]}, "answer": 12, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(5, 0), B=(9, 2), C=(11, 0), D=(7, -2). What is its area?", "im_path": "/images_full/task_09110_parallelogram_area.png", "im_dots_path": "/images/task_09110_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 12, "choices": null, "image_choices": null}
+{"qid": 9111, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-5, -1], "B": [1, -1], "C": [3, -4], "D": [-3, -4]}, "answer": 18, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-5, -1), B=(1, -1), C=(3, -4), D=(-3, -4). What is its area?", "im_path": "/images_full/task_09111_parallelogram_area.png", "im_dots_path": "/images/task_09111_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 18, "choices": null, "image_choices": null}
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+{"qid": 9154, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, -1], "B": [1, 4], "C": [5, 1], "D": [4, -4]}, "answer": 23, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(0, -1), B=(1, 4), C=(5, 1), D=(4, -4). What is its area?", "im_path": "/images_full/task_09154_parallelogram_area.png", "im_dots_path": "/images/task_09154_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 23, "choices": null, "image_choices": null}
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+{"qid": 9185, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-2, -4], "B": [1, -2], "C": [5, -6], "D": [2, -8]}, "answer": 20, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-2, -4), B=(1, -2), C=(5, -6), D=(2, -8). What is its area?", "im_path": "/images_full/task_09185_parallelogram_area.png", "im_dots_path": "/images/task_09185_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 20, "choices": null, "image_choices": null}
+{"qid": 9186, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-4, -5], "B": [-2, 1], "C": [4, 4], "D": [2, -2]}, "answer": 30, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-4, -5), B=(-2, 1), C=(4, 4), D=(2, -2). What is its area?", "im_path": "/images_full/task_09186_parallelogram_area.png", "im_dots_path": "/images/task_09186_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 30, "choices": null, "image_choices": null}
+{"qid": 9187, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-1, -3], "B": [1, -2], "C": [0, 3], "D": [-2, 2]}, "answer": 11, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-1, -3), B=(1, -2), C=(0, 3), D=(-2, 2). What is its area?", "im_path": "/images_full/task_09187_parallelogram_area.png", "im_dots_path": "/images/task_09187_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 11, "choices": null, "image_choices": null}
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+{"qid": 9189, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [4, -2], "B": [6, 3], "C": [7, -2], "D": [5, -7]}, "answer": 15, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(4, -2), B=(6, 3), C=(7, -2), D=(5, -7). What is its area?", "im_path": "/images_full/task_09189_parallelogram_area.png", "im_dots_path": "/images/task_09189_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 15, "choices": null, "image_choices": null}
+{"qid": 9190, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [2, 1], "B": [7, 1], "C": [11, 0], "D": [6, 0]}, "answer": 5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(2, 1), B=(7, 1), C=(11, 0), D=(6, 0). What is its area?", "im_path": "/images_full/task_09190_parallelogram_area.png", "im_dots_path": "/images/task_09190_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 5, "choices": null, "image_choices": null}
+{"qid": 9191, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, -2], "B": [2, -2], "C": [6, -6], "D": [1, -6]}, "answer": 20, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, -2), B=(2, -2), C=(6, -6), D=(1, -6). What is its area?", "im_path": "/images_full/task_09191_parallelogram_area.png", "im_dots_path": "/images/task_09191_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 20, "choices": null, "image_choices": null}
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+{"qid": 9197, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, 3], "B": [2, 6], "C": [0, 2], "D": [-5, -1]}, "answer": 14, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, 3), B=(2, 6), C=(0, 2), D=(-5, -1). What is its area?", "im_path": "/images_full/task_09197_parallelogram_area.png", "im_dots_path": "/images/task_09197_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 14, "choices": null, "image_choices": null}
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+{"qid": 9199, "type": "numeric", "category_id": 91, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [2, -5], "B": [6, -3], "C": [6, -7], "D": [2, -9]}, "answer": 16, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(2, -5), B=(6, -3), C=(6, -7), D=(2, -9). What is its area?", "im_path": "/images_full/task_09199_parallelogram_area.png", "im_dots_path": "/images/task_09199_parallelogram_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the parallelogram ABCD?", "image_answer": 16, "choices": null, "image_choices": null}

basic_coordinate/parallelogram_perimeter/parallelogram_perimeter_tasks.jsonl

@@ -0,0 +1,100 @@
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+{"qid": 9391, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-2, 4], "B": [-1, 7], "C": [-1, 1], "D": [-2, -2]}, "answer": 18.32455532033676, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-2, 4), B=(-1, 7), C=(-1, 1), D=(-2, -2). What is its perimeter?", "im_path": "/images_full/task_09391_parallelogram_perimeter.png", "im_dots_path": "/images/task_09391_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 18.32455532033676, "choices": null, "image_choices": null}
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+{"qid": 9394, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-1, 3], "B": [2, 5], "C": [8, 8], "D": [5, 6]}, "answer": 20.627510415926718, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-1, 3), B=(2, 5), C=(8, 8), D=(5, 6). What is its perimeter?", "im_path": "/images_full/task_09394_parallelogram_perimeter.png", "im_dots_path": "/images/task_09394_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 20.627510415926718, "choices": null, "image_choices": null}
+{"qid": 9395, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [4, 0], "B": [8, 6], "C": [11, 5], "D": [7, -1]}, "answer": 20.746760422192715, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(4, 0), B=(8, 6), C=(11, 5), D=(7, -1). What is its perimeter?", "im_path": "/images_full/task_09395_parallelogram_perimeter.png", "im_dots_path": "/images/task_09395_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 20.746760422192715, "choices": null, "image_choices": null}
+{"qid": 9396, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [3, 0], "B": [6, 2], "C": [0, 2], "D": [-3, 0]}, "answer": 19.21110255092798, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(3, 0), B=(6, 2), C=(0, 2), D=(-3, 0). What is its perimeter?", "im_path": "/images_full/task_09396_parallelogram_perimeter.png", "im_dots_path": "/images/task_09396_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 19.21110255092798, "choices": null, "image_choices": null}
+{"qid": 9397, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, -4], "B": [2, -2], "C": [6, -7], "D": [4, -9]}, "answer": 18.463102724358077, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(0, -4), B=(2, -2), C=(6, -7), D=(4, -9). What is its perimeter?", "im_path": "/images_full/task_09397_parallelogram_perimeter.png", "im_dots_path": "/images/task_09397_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 18.463102724358077, "choices": null, "image_choices": null}
+{"qid": 9398, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, 0], "B": [-2, 4], "C": [-7, 3], "D": [-8, -1]}, "answer": 18.44425027842089, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, 0), B=(-2, 4), C=(-7, 3), D=(-8, -1). What is its perimeter?", "im_path": "/images_full/task_09398_parallelogram_perimeter.png", "im_dots_path": "/images/task_09398_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 18.44425027842089, "choices": null, "image_choices": null}
+{"qid": 9399, "type": "numeric", "category_id": 93, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-3, -3], "B": [-2, 0], "C": [-2, 1], "D": [-3, -2]}, "answer": 8.32455532033676, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Parallelogram A=(-3, -3), B=(-2, 0), C=(-2, 1), D=(-3, -2). What is its perimeter?", "im_path": "/images_full/task_09399_parallelogram_perimeter.png", "im_dots_path": "/images/task_09399_parallelogram_perimeter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the perimeter of the parallelogram ABCD?", "image_answer": 8.32455532033676, "choices": null, "image_choices": null}

basic_coordinate/triangle_area/triangle_area_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 9000, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-1, 0], "B": [2, -7], "C": [4, 0]}, "answer": 17.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 0), B=(2, -7), C=(4, 0). What is its area?", "im_path": "/images_full/task_09000_triangle_area.png", "im_dots_path": "/images/task_09000_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 17.5, "choices": null, "image_choices": null}
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+{"qid": 9004, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-7, -8], "B": [6, -4], "C": [1, 3]}, "answer": 55.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(6, -4), C=(1, 3). What is its area?", "im_path": "/images_full/task_09004_triangle_area.png", "im_dots_path": "/images/task_09004_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 55.5, "choices": null, "image_choices": null}
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+{"qid": 9010, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-1, 5], "B": [-5, -4], "C": [8, 3]}, "answer": 44.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 5), B=(-5, -4), C=(8, 3). What is its area?", "im_path": "/images_full/task_09010_triangle_area.png", "im_dots_path": "/images/task_09010_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 44.5, "choices": null, "image_choices": null}
+{"qid": 9011, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [3, 7], "B": [6, 3], "C": [9, 6]}, "answer": 10.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 7), B=(6, 3), C=(9, 6). What is its area?", "im_path": "/images_full/task_09011_triangle_area.png", "im_dots_path": "/images/task_09011_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 10.5, "choices": null, "image_choices": null}
+{"qid": 9012, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, -2], "B": [-10, 4], "C": [6, 0]}, "answer": 18.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -2), B=(-10, 4), C=(6, 0). What is its area?", "im_path": "/images_full/task_09012_triangle_area.png", "im_dots_path": "/images/task_09012_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 18.0, "choices": null, "image_choices": null}
+{"qid": 9013, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-5, -7], "B": [8, 2], "C": [-3, -7]}, "answer": 9.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -7), B=(8, 2), C=(-3, -7). What is its area?", "im_path": "/images_full/task_09013_triangle_area.png", "im_dots_path": "/images/task_09013_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 9.0, "choices": null, "image_choices": null}
+{"qid": 9014, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, 9], "B": [9, -2], "C": [-10, 0]}, "answer": 95.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 9), B=(9, -2), C=(-10, 0). What is its area?", "im_path": "/images_full/task_09014_triangle_area.png", "im_dots_path": "/images/task_09014_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 95.5, "choices": null, "image_choices": null}
+{"qid": 9015, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-1, 9], "B": [10, 1], "C": [-3, -7]}, "answer": 96.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 9), B=(10, 1), C=(-3, -7). What is its area?", "im_path": "/images_full/task_09015_triangle_area.png", "im_dots_path": "/images/task_09015_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 96.0, "choices": null, "image_choices": null}
+{"qid": 9016, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-4, 8], "B": [6, -3], "C": [3, 2]}, "answer": 8.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 8), B=(6, -3), C=(3, 2). What is its area?", "im_path": "/images_full/task_09016_triangle_area.png", "im_dots_path": "/images/task_09016_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 8.5, "choices": null, "image_choices": null}
+{"qid": 9017, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [10, 10], "B": [-2, -2], "C": [1, -9]}, "answer": 60.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 10), B=(-2, -2), C=(1, -9). What is its area?", "im_path": "/images_full/task_09017_triangle_area.png", "im_dots_path": "/images/task_09017_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 60.0, "choices": null, "image_choices": null}
+{"qid": 9018, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, 2], "B": [-4, -2], "C": [0, -5]}, "answer": 21.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 2), B=(-4, -2), C=(0, -5). What is its area?", "im_path": "/images_full/task_09018_triangle_area.png", "im_dots_path": "/images/task_09018_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 21.5, "choices": null, "image_choices": null}
+{"qid": 9019, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-9, -10], "B": [10, 4], "C": [7, -6]}, "answer": 74.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -10), B=(10, 4), C=(7, -6). What is its area?", "im_path": "/images_full/task_09019_triangle_area.png", "im_dots_path": "/images/task_09019_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 74.0, "choices": null, "image_choices": null}
+{"qid": 9020, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [9, 5], "B": [-4, 9], "C": [-3, -4]}, "answer": 82.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 5), B=(-4, 9), C=(-3, -4). What is its area?", "im_path": "/images_full/task_09020_triangle_area.png", "im_dots_path": "/images/task_09020_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 82.5, "choices": null, "image_choices": null}
+{"qid": 9021, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [7, -2], "B": [-7, -9], "C": [-4, 6]}, "answer": 94.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -2), B=(-7, -9), C=(-4, 6). What is its area?", "im_path": "/images_full/task_09021_triangle_area.png", "im_dots_path": "/images/task_09021_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 94.5, "choices": null, "image_choices": null}
+{"qid": 9022, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-6, -1], "B": [-8, -3], "C": [-3, 9]}, "answer": 7.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -1), B=(-8, -3), C=(-3, 9). What is its area?", "im_path": "/images_full/task_09022_triangle_area.png", "im_dots_path": "/images/task_09022_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 7.0, "choices": null, "image_choices": null}
+{"qid": 9023, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-4, -4], "B": [-7, -6], "C": [6, 4]}, "answer": 2.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -4), B=(-7, -6), C=(6, 4). What is its area?", "im_path": "/images_full/task_09023_triangle_area.png", "im_dots_path": "/images/task_09023_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 2.0, "choices": null, "image_choices": null}
+{"qid": 9024, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, -2], "B": [-1, 3], "C": [0, 8]}, "answer": 17.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -2), B=(-1, 3), C=(0, 8). What is its area?", "im_path": "/images_full/task_09024_triangle_area.png", "im_dots_path": "/images/task_09024_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 17.5, "choices": null, "image_choices": null}
+{"qid": 9025, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-10, -1], "B": [-2, -3], "C": [2, 0]}, "answer": 16.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -1), B=(-2, -3), C=(2, 0). What is its area?", "im_path": "/images_full/task_09025_triangle_area.png", "im_dots_path": "/images/task_09025_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 16.0, "choices": null, "image_choices": null}
+{"qid": 9026, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [5, -1], "B": [5, -10], "C": [9, -2]}, "answer": 18.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -1), B=(5, -10), C=(9, -2). What is its area?", "im_path": "/images_full/task_09026_triangle_area.png", "im_dots_path": "/images/task_09026_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 18.0, "choices": null, "image_choices": null}
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+{"qid": 9028, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [8, 4], "B": [-4, -2], "C": [-9, 1]}, "answer": 33.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 4), B=(-4, -2), C=(-9, 1). What is its area?", "im_path": "/images_full/task_09028_triangle_area.png", "im_dots_path": "/images/task_09028_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 33.0, "choices": null, "image_choices": null}
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+{"qid": 9030, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [2, 3], "B": [3, 4], "C": [-4, -10]}, "answer": 3.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 3), B=(3, 4), C=(-4, -10). What is its area?", "im_path": "/images_full/task_09030_triangle_area.png", "im_dots_path": "/images/task_09030_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 3.5, "choices": null, "image_choices": null}
+{"qid": 9031, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [2, 0], "B": [-6, -7], "C": [5, 9]}, "answer": 25.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 0), B=(-6, -7), C=(5, 9). What is its area?", "im_path": "/images_full/task_09031_triangle_area.png", "im_dots_path": "/images/task_09031_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 25.5, "choices": null, "image_choices": null}
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+{"qid": 9034, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, -9], "B": [10, 7], "C": [-9, 4]}, "answer": 137.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -9), B=(10, 7), C=(-9, 4). What is its area?", "im_path": "/images_full/task_09034_triangle_area.png", "im_dots_path": "/images/task_09034_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 137.0, "choices": null, "image_choices": null}
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+{"qid": 9054, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [10, -4], "B": [-10, 5], "C": [5, -5]}, "answer": 32.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -4), B=(-10, 5), C=(5, -5). What is its area?", "im_path": "/images_full/task_09054_triangle_area.png", "im_dots_path": "/images/task_09054_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 32.5, "choices": null, "image_choices": null}
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+{"qid": 9056, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [0, 10], "B": [-10, -4], "C": [-4, -4]}, "answer": 42.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 10), B=(-10, -4), C=(-4, -4). What is its area?", "im_path": "/images_full/task_09056_triangle_area.png", "im_dots_path": "/images/task_09056_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 42.0, "choices": null, "image_choices": null}
+{"qid": 9057, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [3, 10], "B": [-7, -10], "C": [-3, 1]}, "answer": 15.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 10), B=(-7, -10), C=(-3, 1). What is its area?", "im_path": "/images_full/task_09057_triangle_area.png", "im_dots_path": "/images/task_09057_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 15.0, "choices": null, "image_choices": null}
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+{"qid": 9060, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-9, -6], "B": [1, 0], "C": [9, 9]}, "answer": 21.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -6), B=(1, 0), C=(9, 9). What is its area?", "im_path": "/images_full/task_09060_triangle_area.png", "im_dots_path": "/images/task_09060_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 21.0, "choices": null, "image_choices": null}
+{"qid": 9061, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-5, -6], "B": [-7, 1], "C": [10, -9]}, "answer": 49.5, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -6), B=(-7, 1), C=(10, -9). What is its area?", "im_path": "/images_full/task_09061_triangle_area.png", "im_dots_path": "/images/task_09061_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 49.5, "choices": null, "image_choices": null}
+{"qid": 9062, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [2, 3], "B": [-10, 2], "C": [-8, 4]}, "answer": 11.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 3), B=(-10, 2), C=(-8, 4). What is its area?", "im_path": "/images_full/task_09062_triangle_area.png", "im_dots_path": "/images/task_09062_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 11.0, "choices": null, "image_choices": null}
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+{"qid": 9080, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [9, 2], "B": [10, 4], "C": [8, 8]}, "answer": 4.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 2), B=(10, 4), C=(8, 8). What is its area?", "im_path": "/images_full/task_09080_triangle_area.png", "im_dots_path": "/images/task_09080_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 4.0, "choices": null, "image_choices": null}
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+{"qid": 9082, "type": "numeric", "category_id": 90, "category": "Basic coordinate tasks", "difficulty": 2, "schema_type": "number", "points": {"A": [-9, 4], "B": [0, -3], "C": [4, 5]}, "answer": 50.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 4), B=(0, -3), C=(4, 5). What is its area?", "im_path": "/images_full/task_09082_triangle_area.png", "im_dots_path": "/images/task_09082_triangle_area.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. What is the area of the triangle ABC?", "image_answer": 50.0, "choices": null, "image_choices": null}
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basic_coordinate/triangle_perimeter/triangle_perimeter_tasks.jsonl

@@ -0,0 +1,100 @@
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basic_coordinate/triangle_type/triangle_type_tasks.jsonl

@@ -0,0 +1,100 @@
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+{"qid": 6116, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-1, 4], [1, 6], [9, 7]], "answer": 0.6563220504, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 4), B=(1, 6), C=(9, 7). Find the incircle's radius.", "im_path": "/images_full/task_06116_incircle.png", "im_dots_path": "/images/task_06116_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6563220504, "choices": null, "image_choices": null}
+{"qid": 6117, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, 1], [6, 0], [-10, -6]], "answer": 0.1886759825, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 1), B=(6, 0), C=(-10, -6). Find the incircle's radius.", "im_path": "/images_full/task_06117_incircle.png", "im_dots_path": "/images/task_06117_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.1886759825, "choices": null, "image_choices": null}
+{"qid": 6118, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -3], [-3, 8], [-1, 0]], "answer": 1.5556842136, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(-3, 8), C=(-1, 0). Find the incircle's radius.", "im_path": "/images_full/task_06118_incircle.png", "im_dots_path": "/images/task_06118_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5556842136, "choices": null, "image_choices": null}
+{"qid": 6119, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, 5], [9, -9], [-10, 0]], "answer": 4.0864580272, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(9, -9), C=(-10, 0). Find the incircle's radius.", "im_path": "/images_full/task_06119_incircle.png", "im_dots_path": "/images/task_06119_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.0864580272, "choices": null, "image_choices": null}
+{"qid": 6120, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 7], [8, 7], [6, 1]], "answer": 2.5250841591, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 7), B=(8, 7), C=(6, 1). Find the incircle's radius.", "im_path": "/images_full/task_06120_incircle.png", "im_dots_path": "/images/task_06120_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.5250841591, "choices": null, "image_choices": null}
+{"qid": 6121, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, -1], [3, 6], [-1, 8]], "answer": 1.7603815663, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -1), B=(3, 6), C=(-1, 8). Find the incircle's radius.", "im_path": "/images_full/task_06121_incircle.png", "im_dots_path": "/images/task_06121_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7603815663, "choices": null, "image_choices": null}
+{"qid": 6122, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[8, -9], [0, -6], [3, 3]], "answer": 2.6103066674, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -9), B=(0, -6), C=(3, 3). Find the incircle's radius.", "im_path": "/images_full/task_06122_incircle.png", "im_dots_path": "/images/task_06122_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.6103066674, "choices": null, "image_choices": null}
+{"qid": 6123, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -6], [9, 7], [7, 4]], "answer": 0.9700193036, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -6), B=(9, 7), C=(7, 4). Find the incircle's radius.", "im_path": "/images_full/task_06123_incircle.png", "im_dots_path": "/images/task_06123_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9700193036, "choices": null, "image_choices": null}
+{"qid": 6124, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -1], [5, -10], [5, 7]], "answer": 2.3142090824, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -1), B=(5, -10), C=(5, 7). Find the incircle's radius.", "im_path": "/images_full/task_06124_incircle.png", "im_dots_path": "/images/task_06124_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.3142090824, "choices": null, "image_choices": null}
+{"qid": 6125, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, -9], [-8, 8], [9, -5]], "answer": 4.1264621122, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -9), B=(-8, 8), C=(9, -5). Find the incircle's radius.", "im_path": "/images_full/task_06125_incircle.png", "im_dots_path": "/images/task_06125_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.1264621122, "choices": null, "image_choices": null}
+{"qid": 6126, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -3], [6, 2], [-7, 5]], "answer": 2.910523272, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(6, 2), C=(-7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06126_incircle.png", "im_dots_path": "/images/task_06126_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.910523272, "choices": null, "image_choices": null}
+{"qid": 6127, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 7], [-8, -7], [-3, -6]], "answer": 1.9179494894, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 7), B=(-8, -7), C=(-3, -6). Find the incircle's radius.", "im_path": "/images_full/task_06127_incircle.png", "im_dots_path": "/images/task_06127_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9179494894, "choices": null, "image_choices": null}
+{"qid": 6128, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 3], [-7, 7], [-8, -4]], "answer": 1.534784516, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 3), B=(-7, 7), C=(-8, -4). Find the incircle's radius.", "im_path": "/images_full/task_06128_incircle.png", "im_dots_path": "/images/task_06128_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.534784516, "choices": null, "image_choices": null}
+{"qid": 6129, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -3], [9, 8], [6, 6]], "answer": 0.1138495484, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -3), B=(9, 8), C=(6, 6). Find the incircle's radius.", "im_path": "/images_full/task_06129_incircle.png", "im_dots_path": "/images/task_06129_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.1138495484, "choices": null, "image_choices": null}
+{"qid": 6130, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[8, -8], [-4, 5], [-3, 7]], "answer": 0.9603168719, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -8), B=(-4, 5), C=(-3, 7). Find the incircle's radius.", "im_path": "/images_full/task_06130_incircle.png", "im_dots_path": "/images/task_06130_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9603168719, "choices": null, "image_choices": null}
+{"qid": 6131, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[4, -1], [-4, -8], [1, 3]], "answer": 1.9124466214, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -1), B=(-4, -8), C=(1, 3). Find the incircle's radius.", "im_path": "/images_full/task_06131_incircle.png", "im_dots_path": "/images/task_06131_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9124466214, "choices": null, "image_choices": null}
+{"qid": 6132, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, -8], [8, 0], [1, 10]], "answer": 4.2123110081, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(8, 0), C=(1, 10). Find the incircle's radius.", "im_path": "/images_full/task_06132_incircle.png", "im_dots_path": "/images/task_06132_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.2123110081, "choices": null, "image_choices": null}
+{"qid": 6133, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, -6], [-10, 7], [-6, -4]], "answer": 0.485252684, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -6), B=(-10, 7), C=(-6, -4). Find the incircle's radius.", "im_path": "/images_full/task_06133_incircle.png", "im_dots_path": "/images/task_06133_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.485252684, "choices": null, "image_choices": null}
+{"qid": 6134, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -2], [-2, 9], [7, 1]], "answer": 2.6915100549, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -2), B=(-2, 9), C=(7, 1). Find the incircle's radius.", "im_path": "/images_full/task_06134_incircle.png", "im_dots_path": "/images/task_06134_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.6915100549, "choices": null, "image_choices": null}
+{"qid": 6135, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -3], [-5, 9], [7, 5]], "answer": 3.6905845534, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -3), B=(-5, 9), C=(7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06135_incircle.png", "im_dots_path": "/images/task_06135_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.6905845534, "choices": null, "image_choices": null}
+{"qid": 6136, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, -6], [-2, 4], [-1, 1]], "answer": 0.0928144002, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -6), B=(-2, 4), C=(-1, 1). Find the incircle's radius.", "im_path": "/images_full/task_06136_incircle.png", "im_dots_path": "/images/task_06136_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.0928144002, "choices": null, "image_choices": null}
+{"qid": 6137, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, 5], [1, -9], [-7, 5]], "answer": 1.6145430996, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 5), B=(1, -9), C=(-7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06137_incircle.png", "im_dots_path": "/images/task_06137_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.6145430996, "choices": null, "image_choices": null}
+{"qid": 6138, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, 7], [-2, 8], [0, -8]], "answer": 3.0795084338, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 7), B=(-2, 8), C=(0, -8). Find the incircle's radius.", "im_path": "/images_full/task_06138_incircle.png", "im_dots_path": "/images/task_06138_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.0795084338, "choices": null, "image_choices": null}
+{"qid": 6139, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, -6], [-4, -9], [1, -3]], "answer": 2.1825149497, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -6), B=(-4, -9), C=(1, -3). Find the incircle's radius.", "im_path": "/images_full/task_06139_incircle.png", "im_dots_path": "/images/task_06139_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.1825149497, "choices": null, "image_choices": null}
+{"qid": 6140, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -3], [8, -5], [9, 0]], "answer": 0.9860241491, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -3), B=(8, -5), C=(9, 0). Find the incircle's radius.", "im_path": "/images_full/task_06140_incircle.png", "im_dots_path": "/images/task_06140_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9860241491, "choices": null, "image_choices": null}
+{"qid": 6141, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 5], [-8, 6], [1, 10]], "answer": 1.5163648697, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 5), B=(-8, 6), C=(1, 10). Find the incircle's radius.", "im_path": "/images_full/task_06141_incircle.png", "im_dots_path": "/images/task_06141_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5163648697, "choices": null, "image_choices": null}
+{"qid": 6142, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, -6], [-1, -1], [-10, -5]], "answer": 1.1880417662, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -6), B=(-1, -1), C=(-10, -5). Find the incircle's radius.", "im_path": "/images_full/task_06142_incircle.png", "im_dots_path": "/images/task_06142_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1880417662, "choices": null, "image_choices": null}
+{"qid": 6143, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -8], [7, 3], [0, 10]], "answer": 1.5289611963, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -8), B=(7, 3), C=(0, 10). Find the incircle's radius.", "im_path": "/images_full/task_06143_incircle.png", "im_dots_path": "/images/task_06143_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5289611963, "choices": null, "image_choices": null}
+{"qid": 6144, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -9], [-10, 5], [0, 2]], "answer": 1.7200709189, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -9), B=(-10, 5), C=(0, 2). Find the incircle's radius.", "im_path": "/images_full/task_06144_incircle.png", "im_dots_path": "/images/task_06144_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7200709189, "choices": null, "image_choices": null}
+{"qid": 6145, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -5], [-9, -6], [-5, -3]], "answer": 0.7192235936, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -5), B=(-9, -6), C=(-5, -3). Find the incircle's radius.", "im_path": "/images_full/task_06145_incircle.png", "im_dots_path": "/images/task_06145_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.7192235936, "choices": null, "image_choices": null}
+{"qid": 6146, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 7], [-2, 3], [-3, 5]], "answer": 0.6015804344, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 7), B=(-2, 3), C=(-3, 5). Find the incircle's radius.", "im_path": "/images_full/task_06146_incircle.png", "im_dots_path": "/images/task_06146_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6015804344, "choices": null, "image_choices": null}
+{"qid": 6147, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 0], [-4, -2], [9, -4]], "answer": 0.4326990667, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 0), B=(-4, -2), C=(9, -4). Find the incircle's radius.", "im_path": "/images_full/task_06147_incircle.png", "im_dots_path": "/images/task_06147_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4326990667, "choices": null, "image_choices": null}
+{"qid": 6148, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, 9], [10, -6], [-7, 1]], "answer": 3.1351768495, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 9), B=(10, -6), C=(-7, 1). Find the incircle's radius.", "im_path": "/images_full/task_06148_incircle.png", "im_dots_path": "/images/task_06148_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.1351768495, "choices": null, "image_choices": null}
+{"qid": 6149, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 1], [-8, 8], [10, 7]], "answer": 2.9524538523, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 1), B=(-8, 8), C=(10, 7). Find the incircle's radius.", "im_path": "/images_full/task_06149_incircle.png", "im_dots_path": "/images/task_06149_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9524538523, "choices": null, "image_choices": null}
+{"qid": 6150, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, -3], [2, -3], [-6, 2]], "answer": 1.9122083358, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -3), B=(2, -3), C=(-6, 2). Find the incircle's radius.", "im_path": "/images_full/task_06150_incircle.png", "im_dots_path": "/images/task_06150_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9122083358, "choices": null, "image_choices": null}
+{"qid": 6151, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, -7], [3, -6], [-1, -6]], "answer": 0.4663911961, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -7), B=(3, -6), C=(-1, -6). Find the incircle's radius.", "im_path": "/images_full/task_06151_incircle.png", "im_dots_path": "/images/task_06151_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4663911961, "choices": null, "image_choices": null}
+{"qid": 6152, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 5], [9, -5], [-7, 10]], "answer": 2.2960608829, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 5), B=(9, -5), C=(-7, 10). Find the incircle's radius.", "im_path": "/images_full/task_06152_incircle.png", "im_dots_path": "/images/task_06152_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.2960608829, "choices": null, "image_choices": null}
+{"qid": 6153, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 1], [-2, -9], [-1, -4]], "answer": 1.3077356039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 1), B=(-2, -9), C=(-1, -4). Find the incircle's radius.", "im_path": "/images_full/task_06153_incircle.png", "im_dots_path": "/images/task_06153_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.3077356039, "choices": null, "image_choices": null}
+{"qid": 6154, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 9], [8, -2], [-1, -8]], "answer": 3.7225977351, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 9), B=(8, -2), C=(-1, -8). Find the incircle's radius.", "im_path": "/images_full/task_06154_incircle.png", "im_dots_path": "/images/task_06154_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.7225977351, "choices": null, "image_choices": null}
+{"qid": 6155, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-1, 0], [4, 1], [-6, 5]], "answer": 1.3077356039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 0), B=(4, 1), C=(-6, 5). Find the incircle's radius.", "im_path": "/images_full/task_06155_incircle.png", "im_dots_path": "/images/task_06155_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.3077356039, "choices": null, "image_choices": null}
+{"qid": 6156, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, 6], [5, 2], [-9, -1]], "answer": 1.1199381688, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 6), B=(5, 2), C=(-9, -1). Find the incircle's radius.", "im_path": "/images_full/task_06156_incircle.png", "im_dots_path": "/images/task_06156_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1199381688, "choices": null, "image_choices": null}
+{"qid": 6157, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, 9], [-7, -2], [5, -3]], "answer": 3.0244259999, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 9), B=(-7, -2), C=(5, -3). Find the incircle's radius.", "im_path": "/images_full/task_06157_incircle.png", "im_dots_path": "/images/task_06157_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.0244259999, "choices": null, "image_choices": null}
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+{"qid": 6159, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, -7], [-10, -5], [4, -3]], "answer": 1.7366316016, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -7), B=(-10, -5), C=(4, -3). Find the incircle's radius.", "im_path": "/images_full/task_06159_incircle.png", "im_dots_path": "/images/task_06159_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7366316016, "choices": null, "image_choices": null}
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+{"qid": 6164, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, 6], [-6, 6], [1, -6]], "answer": 3.7025186702, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 6), B=(-6, 6), C=(1, -6). Find the incircle's radius.", "im_path": "/images_full/task_06164_incircle.png", "im_dots_path": "/images/task_06164_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.7025186702, "choices": null, "image_choices": null}
+{"qid": 6165, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 8], [-10, 5], [0, -5]], "answer": 1.2078825843, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(-10, 5), C=(0, -5). Find the incircle's radius.", "im_path": "/images_full/task_06165_incircle.png", "im_dots_path": "/images/task_06165_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.2078825843, "choices": null, "image_choices": null}
+{"qid": 6166, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -8], [-5, -4], [-5, -10]], "answer": 2.2849198222, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -8), B=(-5, -4), C=(-5, -10). Find the incircle's radius.", "im_path": "/images_full/task_06166_incircle.png", "im_dots_path": "/images/task_06166_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.2849198222, "choices": null, "image_choices": null}
+{"qid": 6167, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -6], [4, 4], [-3, -3]], "answer": 0.6361917039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -6), B=(4, 4), C=(-3, -3). Find the incircle's radius.", "im_path": "/images_full/task_06167_incircle.png", "im_dots_path": "/images/task_06167_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6361917039, "choices": null, "image_choices": null}
+{"qid": 6168, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, 4], [-10, -6], [5, 3]], "answer": 0.9133647736, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 4), B=(-10, -6), C=(5, 3). Find the incircle's radius.", "im_path": "/images_full/task_06168_incircle.png", "im_dots_path": "/images/task_06168_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9133647736, "choices": null, "image_choices": null}
+{"qid": 6169, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, -6], [2, 0], [-2, 2]], "answer": 0.2768708234, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -6), B=(2, 0), C=(-2, 2). Find the incircle's radius.", "im_path": "/images_full/task_06169_incircle.png", "im_dots_path": "/images/task_06169_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2768708234, "choices": null, "image_choices": null}
+{"qid": 6170, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -8], [-4, -10], [-8, -7]], "answer": 1.2432760786, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -8), B=(-4, -10), C=(-8, -7). Find the incircle's radius.", "im_path": "/images_full/task_06170_incircle.png", "im_dots_path": "/images/task_06170_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.2432760786, "choices": null, "image_choices": null}
+{"qid": 6171, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -4], [-9, -10], [3, 0]], "answer": 2.1009868515, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -4), B=(-9, -10), C=(3, 0). Find the incircle's radius.", "im_path": "/images_full/task_06171_incircle.png", "im_dots_path": "/images/task_06171_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.1009868515, "choices": null, "image_choices": null}
+{"qid": 6172, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 2], [5, 2], [-2, -5]], "answer": 2.0502525317, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 2), B=(5, 2), C=(-2, -5). Find the incircle's radius.", "im_path": "/images_full/task_06172_incircle.png", "im_dots_path": "/images/task_06172_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.0502525317, "choices": null, "image_choices": null}
+{"qid": 6173, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -6], [1, 8], [2, -8]], "answer": 4.1303235856, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -6), B=(1, 8), C=(2, -8). Find the incircle's radius.", "im_path": "/images_full/task_06173_incircle.png", "im_dots_path": "/images/task_06173_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.1303235856, "choices": null, "image_choices": null}
+{"qid": 6174, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -1], [-10, 9], [8, -10]], "answer": 2.9031101761, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -1), B=(-10, 9), C=(8, -10). Find the incircle's radius.", "im_path": "/images_full/task_06174_incircle.png", "im_dots_path": "/images/task_06174_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9031101761, "choices": null, "image_choices": null}
+{"qid": 6175, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, -2], [1, 4], [0, 0]], "answer": 0.4392471202, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -2), B=(1, 4), C=(0, 0). Find the incircle's radius.", "im_path": "/images_full/task_06175_incircle.png", "im_dots_path": "/images/task_06175_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4392471202, "choices": null, "image_choices": null}
+{"qid": 6176, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 8], [-6, 4], [3, 10]], "answer": 1.9297996849, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(-6, 4), C=(3, 10). Find the incircle's radius.", "im_path": "/images_full/task_06176_incircle.png", "im_dots_path": "/images/task_06176_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9297996849, "choices": null, "image_choices": null}
+{"qid": 6177, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, 9], [4, 2], [4, -5]], "answer": 0.2490506132, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 9), B=(4, 2), C=(4, -5). Find the incircle's radius.", "im_path": "/images_full/task_06177_incircle.png", "im_dots_path": "/images/task_06177_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2490506132, "choices": null, "image_choices": null}
+{"qid": 6178, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[1, 10], [-10, -10], [-2, -6]], "answer": 2.4142264407, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 10), B=(-10, -10), C=(-2, -6). Find the incircle's radius.", "im_path": "/images_full/task_06178_incircle.png", "im_dots_path": "/images/task_06178_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.4142264407, "choices": null, "image_choices": null}
+{"qid": 6179, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 6], [-8, 4], [-7, 0]], "answer": 1.1762057103, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 6), B=(-8, 4), C=(-7, 0). Find the incircle's radius.", "im_path": "/images_full/task_06179_incircle.png", "im_dots_path": "/images/task_06179_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1762057103, "choices": null, "image_choices": null}
+{"qid": 6180, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[4, 7], [2, 5], [8, -10]], "answer": 1.1523212042, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 7), B=(2, 5), C=(8, -10). Find the incircle's radius.", "im_path": "/images_full/task_06180_incircle.png", "im_dots_path": "/images/task_06180_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1523212042, "choices": null, "image_choices": null}
+{"qid": 6181, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 5], [1, -1], [-7, 9]], "answer": 0.8413356284, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(1, -1), C=(-7, 9). Find the incircle's radius.", "im_path": "/images_full/task_06181_incircle.png", "im_dots_path": "/images/task_06181_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8413356284, "choices": null, "image_choices": null}
+{"qid": 6182, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, 1], [-5, -2], [10, 0]], "answer": 0.4772540028, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 1), B=(-5, -2), C=(10, 0). Find the incircle's radius.", "im_path": "/images_full/task_06182_incircle.png", "im_dots_path": "/images/task_06182_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4772540028, "choices": null, "image_choices": null}
+{"qid": 6183, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, -2], [6, 7], [-2, 1]], "answer": 0.6952437677, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -2), B=(6, 7), C=(-2, 1). Find the incircle's radius.", "im_path": "/images_full/task_06183_incircle.png", "im_dots_path": "/images/task_06183_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6952437677, "choices": null, "image_choices": null}
+{"qid": 6184, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, -10], [7, -9], [-9, -3]], "answer": 0.8005363294, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -10), B=(7, -9), C=(-9, -3). Find the incircle's radius.", "im_path": "/images_full/task_06184_incircle.png", "im_dots_path": "/images/task_06184_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8005363294, "choices": null, "image_choices": null}
+{"qid": 6185, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[1, 0], [-10, -4], [-1, 8]], "answer": 2.7467095079, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 0), B=(-10, -4), C=(-1, 8). Find the incircle's radius.", "im_path": "/images_full/task_06185_incircle.png", "im_dots_path": "/images/task_06185_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.7467095079, "choices": null, "image_choices": null}
+{"qid": 6186, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -8], [-2, -6], [0, -4]], "answer": 0.8284271247, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -8), B=(-2, -6), C=(0, -4). Find the incircle's radius.", "im_path": "/images_full/task_06186_incircle.png", "im_dots_path": "/images/task_06186_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8284271247, "choices": null, "image_choices": null}
+{"qid": 6187, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -5], [5, 2], [1, 3]], "answer": 1.5267620963, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -5), B=(5, 2), C=(1, 3). Find the incircle's radius.", "im_path": "/images_full/task_06187_incircle.png", "im_dots_path": "/images/task_06187_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5267620963, "choices": null, "image_choices": null}
+{"qid": 6188, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 10], [-7, -9], [-7, 6]], "answer": 0.3931909476, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 10), B=(-7, -9), C=(-7, 6). Find the incircle's radius.", "im_path": "/images_full/task_06188_incircle.png", "im_dots_path": "/images/task_06188_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.3931909476, "choices": null, "image_choices": null}
+{"qid": 6189, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 5], [5, 10], [1, -9]], "answer": 4.0083127184, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(5, 10), C=(1, -9). Find the incircle's radius.", "im_path": "/images_full/task_06189_incircle.png", "im_dots_path": "/images/task_06189_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.0083127184, "choices": null, "image_choices": null}
+{"qid": 6190, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 7], [-4, -4], [3, -6]], "answer": 2.5008615581, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 7), B=(-4, -4), C=(3, -6). Find the incircle's radius.", "im_path": "/images_full/task_06190_incircle.png", "im_dots_path": "/images/task_06190_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.5008615581, "choices": null, "image_choices": null}
+{"qid": 6191, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, 5], [5, 4], [-9, 1]], "answer": 0.7880815039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(5, 4), C=(-9, 1). Find the incircle's radius.", "im_path": "/images_full/task_06191_incircle.png", "im_dots_path": "/images/task_06191_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.7880815039, "choices": null, "image_choices": null}
+{"qid": 6192, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 9], [0, 3], [6, -6]], "answer": 0.676935502, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 9), B=(0, 3), C=(6, -6). Find the incircle's radius.", "im_path": "/images_full/task_06192_incircle.png", "im_dots_path": "/images/task_06192_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.676935502, "choices": null, "image_choices": null}
+{"qid": 6193, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, 7], [10, -6], [0, 6]], "answer": 2.0203240476, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 7), B=(10, -6), C=(0, 6). Find the incircle's radius.", "im_path": "/images_full/task_06193_incircle.png", "im_dots_path": "/images/task_06193_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.0203240476, "choices": null, "image_choices": null}
+{"qid": 6194, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, 3], [1, -6], [-3, 7]], "answer": 3.6560993816, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 3), B=(1, -6), C=(-3, 7). Find the incircle's radius.", "im_path": "/images_full/task_06194_incircle.png", "im_dots_path": "/images/task_06194_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.6560993816, "choices": null, "image_choices": null}
+{"qid": 6195, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, 5], [2, -10], [9, 3]], "answer": 1.5636732606, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 5), B=(2, -10), C=(9, 3). Find the incircle's radius.", "im_path": "/images_full/task_06195_incircle.png", "im_dots_path": "/images/task_06195_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5636732606, "choices": null, "image_choices": null}
+{"qid": 6196, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 9], [6, 4], [-4, 2]], "answer": 2.3942889597, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 9), B=(6, 4), C=(-4, 2). Find the incircle's radius.", "im_path": "/images_full/task_06196_incircle.png", "im_dots_path": "/images/task_06196_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.3942889597, "choices": null, "image_choices": null}
+{"qid": 6197, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, 10], [8, 2], [9, 2]], "answer": 0.2469985583, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 10), B=(8, 2), C=(9, 2). Find the incircle's radius.", "im_path": "/images_full/task_06197_incircle.png", "im_dots_path": "/images/task_06197_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2469985583, "choices": null, "image_choices": null}
+{"qid": 6198, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, 8], [2, -3], [-2, 4]], "answer": 0.3708524886, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 8), B=(2, -3), C=(-2, 4). Find the incircle's radius.", "im_path": "/images_full/task_06198_incircle.png", "im_dots_path": "/images/task_06198_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.3708524886, "choices": null, "image_choices": null}
+{"qid": 6199, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -7], [-2, 10], [-8, -3]], "answer": 4.321708386, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -7), B=(-2, 10), C=(-8, -3). Find the incircle's radius.", "im_path": "/images_full/task_06199_incircle.png", "im_dots_path": "/images/task_06199_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.321708386, "choices": null, "image_choices": null}

circle_properties/diameter/circle_diameter_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 11100, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 0], "A": [1.057809641888072, 7.9443235916647374], "B": [2.9421903581119278, -7.9443235916647374]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 0), radius=8; segment endpoints A=(1.057809641888072, 7.9443235916647374), B=(2.9421903581119278, -7.9443235916647374). Is AB a diameter?", "im_path": "/images_full/task_11100_diameter.png", "im_dots_path": "/images/task_11100_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11101, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -1], "A": [-10, -9], "B": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -1), radius=7; segment endpoints A=(-10, -9), B=(10, -7). Is AB a diameter?", "im_path": "/images_full/task_11101_diameter.png", "im_dots_path": "/images/task_11101_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11102, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -3], "A": [-3.1570931393941333, -5.879150573405907], "B": [-4.842906860605867, -0.12084942659409315]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -3), radius=3; segment endpoints A=(-3.1570931393941333, -5.879150573405907), B=(-4.842906860605867, -0.12084942659409315). Is AB a diameter?", "im_path": "/images_full/task_11102_diameter.png", "im_dots_path": "/images/task_11102_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11103, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -3], "A": [8, 0], "B": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -3), radius=4; segment endpoints A=(8, 0), B=(1, -1). Is AB a diameter?", "im_path": "/images_full/task_11103_diameter.png", "im_dots_path": "/images/task_11103_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11104, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -5], "A": [11.319700480510559, -1.989786413452589], "B": [-1.3197004805105577, -8.010213586547412]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -5), radius=7; segment endpoints A=(11.319700480510559, -1.989786413452589), B=(-1.3197004805105577, -8.010213586547412). Is AB a diameter?", "im_path": "/images_full/task_11104_diameter.png", "im_dots_path": "/images/task_11104_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11105, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -3], "A": [1.7604968611151222, 0.8086243465528371], "B": [8.239503138884878, -6.808624346552837]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -3), radius=5; segment endpoints A=(1.7604968611151222, 0.8086243465528371), B=(8.239503138884878, -6.808624346552837). Is AB a diameter?", "im_path": "/images_full/task_11105_diameter.png", "im_dots_path": "/images/task_11105_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11106, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -5], "A": [6, -7], "B": [8, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -5), radius=2; segment endpoints A=(6, -7), B=(8, 3). Is AB a diameter?", "im_path": "/images_full/task_11106_diameter.png", "im_dots_path": "/images/task_11106_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11107, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -1], "A": [3, 10], "B": [4, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -1), radius=3; segment endpoints A=(3, 10), B=(4, -5). Is AB a diameter?", "im_path": "/images_full/task_11107_diameter.png", "im_dots_path": "/images/task_11107_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11108, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 1], "A": [-4.923539060123404, 8.446671697069286], "B": [0.9235390601234039, -6.446671697069286]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 1), radius=8; segment endpoints A=(-4.923539060123404, 8.446671697069286), B=(0.9235390601234039, -6.446671697069286). Is AB a diameter?", "im_path": "/images_full/task_11108_diameter.png", "im_dots_path": "/images/task_11108_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11109, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, 3], "A": [2, -7], "B": [-2, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, 3), radius=3; segment endpoints A=(2, -7), B=(-2, 4). Is AB a diameter?", "im_path": "/images_full/task_11109_diameter.png", "im_dots_path": "/images/task_11109_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11110, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -4], "A": [-1.1958792694137177, -5.0662583778316845], "B": [-6.804120730586282, -2.9337416221683155]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -4), radius=3; segment endpoints A=(-1.1958792694137177, -5.0662583778316845), B=(-6.804120730586282, -2.9337416221683155). Is AB a diameter?", "im_path": "/images_full/task_11110_diameter.png", "im_dots_path": "/images/task_11110_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11111, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -3], "A": [-0.6104311846089123, -5.39409390270016], "B": [-9.389568815391087, -0.6059060972998398]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -3), radius=5; segment endpoints A=(-0.6104311846089123, -5.39409390270016), B=(-9.389568815391087, -0.6059060972998398). Is AB a diameter?", "im_path": "/images_full/task_11111_diameter.png", "im_dots_path": "/images/task_11111_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11112, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 5], "A": [2.8985930973394822, 6.269735044275412], "B": [-12.898593097339482, 3.7302649557245884]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 5), radius=8; segment endpoints A=(2.8985930973394822, 6.269735044275412), B=(-12.898593097339482, 3.7302649557245884). Is AB a diameter?", "im_path": "/images_full/task_11112_diameter.png", "im_dots_path": "/images/task_11112_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11113, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -5], "A": [-5, 6], "B": [8, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -5), radius=1; segment endpoints A=(-5, 6), B=(8, -1). Is AB a diameter?", "im_path": "/images_full/task_11113_diameter.png", "im_dots_path": "/images/task_11113_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11114, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 5], "A": [1.8933782374861132, 2.0018952987331424], "B": [2.1066217625138868, 7.998104701266858]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 5), radius=3; segment endpoints A=(1.8933782374861132, 2.0018952987331424), B=(2.1066217625138868, 7.998104701266858). Is AB a diameter?", "im_path": "/images_full/task_11114_diameter.png", "im_dots_path": "/images/task_11114_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11115, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 0], "A": [-5, -10], "B": [1, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 0), radius=1; segment endpoints A=(-5, -10), B=(1, -7). Is AB a diameter?", "im_path": "/images_full/task_11115_diameter.png", "im_dots_path": "/images/task_11115_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11116, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -3], "A": [2.7041890097767576, 2.992703551658729], "B": [3.2958109902232424, -8.992703551658728]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -3), radius=6; segment endpoints A=(2.7041890097767576, 2.992703551658729), B=(3.2958109902232424, -8.992703551658728). Is AB a diameter?", "im_path": "/images_full/task_11116_diameter.png", "im_dots_path": "/images/task_11116_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11117, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [-0.7207604765046483, -1.1343890181742624], "B": [0.7207604765046483, -4.865610981825737]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=2; segment endpoints A=(-0.7207604765046483, -1.1343890181742624), B=(0.7207604765046483, -4.865610981825737). Is AB a diameter?", "im_path": "/images_full/task_11117_diameter.png", "im_dots_path": "/images/task_11117_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11118, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -1], "A": [0, -1], "B": [-5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -1), radius=7; segment endpoints A=(0, -1), B=(-5, -9). Is AB a diameter?", "im_path": "/images_full/task_11118_diameter.png", "im_dots_path": "/images/task_11118_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11119, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 3], "A": [12.998736505769735, 3.142177041981325], "B": [-2.9987365057697355, 2.857822958018675]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 3), radius=8; segment endpoints A=(12.998736505769735, 3.142177041981325), B=(-2.9987365057697355, 2.857822958018675). Is AB a diameter?", "im_path": "/images_full/task_11119_diameter.png", "im_dots_path": "/images/task_11119_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11120, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -5], "A": [3, 4], "B": [4, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -5), radius=1; segment endpoints A=(3, 4), B=(4, 3). Is AB a diameter?", "im_path": "/images_full/task_11120_diameter.png", "im_dots_path": "/images/task_11120_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11121, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 0], "A": [4.969526205736542, 6.932533370737577], "B": [3.0304737942634583, -6.932533370737577]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 0), radius=7; segment endpoints A=(4.969526205736542, 6.932533370737577), B=(3.0304737942634583, -6.932533370737577). Is AB a diameter?", "im_path": "/images_full/task_11121_diameter.png", "im_dots_path": "/images/task_11121_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11122, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 3], "A": [-2, 5], "B": [-9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 3), radius=8; segment endpoints A=(-2, 5), B=(-9, 5). Is AB a diameter?", "im_path": "/images_full/task_11122_diameter.png", "im_dots_path": "/images/task_11122_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11123, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 1], "A": [1, 6], "B": [7, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 1), radius=2; segment endpoints A=(1, 6), B=(7, 7). Is AB a diameter?", "im_path": "/images_full/task_11123_diameter.png", "im_dots_path": "/images/task_11123_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11124, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 0], "A": [8.956569047559519, -6.953097250283068], "B": [1.0434309524404801, 6.953097250283068]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 0), radius=8; segment endpoints A=(8.956569047559519, -6.953097250283068), B=(1.0434309524404801, 6.953097250283068). Is AB a diameter?", "im_path": "/images_full/task_11124_diameter.png", "im_dots_path": "/images/task_11124_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11125, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -4], "A": [3, 8], "B": [6, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -4), radius=6; segment endpoints A=(3, 8), B=(6, -4). Is AB a diameter?", "im_path": "/images_full/task_11125_diameter.png", "im_dots_path": "/images/task_11125_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11126, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -4], "A": [7.880012179110567, -1.2241163842526102], "B": [2.119987820889433, -6.775883615747389]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -4), radius=4; segment endpoints A=(7.880012179110567, -1.2241163842526102), B=(2.119987820889433, -6.775883615747389). Is AB a diameter?", "im_path": "/images_full/task_11126_diameter.png", "im_dots_path": "/images/task_11126_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11127, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 3], "A": [-1.9952955768479068, 2.8060586335524316], "B": [5.995295576847907, 3.1939413664475684]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 3), radius=4; segment endpoints A=(-1.9952955768479068, 2.8060586335524316), B=(5.995295576847907, 3.1939413664475684). Is AB a diameter?", "im_path": "/images_full/task_11127_diameter.png", "im_dots_path": "/images/task_11127_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11128, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -3], "A": [9, -2], "B": [-2, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -3), radius=5; segment endpoints A=(9, -2), B=(-2, -3). Is AB a diameter?", "im_path": "/images_full/task_11128_diameter.png", "im_dots_path": "/images/task_11128_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11129, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [3.5014072489170003, -0.45371082613164226], "B": [-1.5014072489170003, 10.453710826131642]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=6; segment endpoints A=(3.5014072489170003, -0.45371082613164226), B=(-1.5014072489170003, 10.453710826131642). Is AB a diameter?", "im_path": "/images_full/task_11129_diameter.png", "im_dots_path": "/images/task_11129_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11130, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 5], "A": [8, 1], "B": [-3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 5), radius=2; segment endpoints A=(8, 1), B=(-3, -9). Is AB a diameter?", "im_path": "/images_full/task_11130_diameter.png", "im_dots_path": "/images/task_11130_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11131, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 4], "A": [-0.3105522493354931, 2.265330062003841], "B": [-9.689447750664506, 5.734669937996159]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 4), radius=5; segment endpoints A=(-0.3105522493354931, 2.265330062003841), B=(-9.689447750664506, 5.734669937996159). Is AB a diameter?", "im_path": "/images_full/task_11131_diameter.png", "im_dots_path": "/images/task_11131_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11132, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 3], "A": [6, -5], "B": [-10, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 3), radius=4; segment endpoints A=(6, -5), B=(-10, -9). Is AB a diameter?", "im_path": "/images_full/task_11132_diameter.png", "im_dots_path": "/images/task_11132_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11133, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, 2], "A": [-8.999098887816682, 1.8799292586434513], "B": [6.999098887816682, 2.1200707413565487]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, 2), radius=8; segment endpoints A=(-8.999098887816682, 1.8799292586434513), B=(6.999098887816682, 2.1200707413565487). Is AB a diameter?", "im_path": "/images_full/task_11133_diameter.png", "im_dots_path": "/images/task_11133_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11134, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -5], "A": [8.559458156908402, -10.752601585507609], "B": [-2.559458156908401, 0.752601585507608]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -5), radius=8; segment endpoints A=(8.559458156908402, -10.752601585507609), B=(-2.559458156908401, 0.752601585507608). Is AB a diameter?", "im_path": "/images_full/task_11134_diameter.png", "im_dots_path": "/images/task_11134_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11135, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 5], "A": [-7.434057290996869, 2.9488416633152763], "B": [-0.5659427090031306, 7.051158336684724]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 5), radius=4; segment endpoints A=(-7.434057290996869, 2.9488416633152763), B=(-0.5659427090031306, 7.051158336684724). Is AB a diameter?", "im_path": "/images_full/task_11135_diameter.png", "im_dots_path": "/images/task_11135_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11136, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [-6, -6], "B": [2, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=8; segment endpoints A=(-6, -6), B=(2, 0). Is AB a diameter?", "im_path": "/images_full/task_11136_diameter.png", "im_dots_path": "/images/task_11136_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11137, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [7, 5], "B": [6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=8; segment endpoints A=(7, 5), B=(6, 4). Is AB a diameter?", "im_path": "/images_full/task_11137_diameter.png", "im_dots_path": "/images/task_11137_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11138, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -4], "A": [-2, -8], "B": [-2, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -4), radius=1; segment endpoints A=(-2, -8), B=(-2, -7). Is AB a diameter?", "im_path": "/images_full/task_11138_diameter.png", "im_dots_path": "/images/task_11138_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11139, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -3], "A": [1.6013845045686006, -5.939104740846229], "B": [0.3986154954313995, -0.06089525915377081]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -3), radius=3; segment endpoints A=(1.6013845045686006, -5.939104740846229), B=(0.3986154954313995, -0.06089525915377081). Is AB a diameter?", "im_path": "/images_full/task_11139_diameter.png", "im_dots_path": "/images/task_11139_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11140, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 1], "A": [4.74511286218277, 7.960230371374916], "B": [3.2548871378172297, -5.960230371374916]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 1), radius=7; segment endpoints A=(4.74511286218277, 7.960230371374916), B=(3.2548871378172297, -5.960230371374916). Is AB a diameter?", "im_path": "/images_full/task_11140_diameter.png", "im_dots_path": "/images/task_11140_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11141, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-8, 8], "B": [-10, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=2; segment endpoints A=(-8, 8), B=(-10, 2). Is AB a diameter?", "im_path": "/images_full/task_11141_diameter.png", "im_dots_path": "/images/task_11141_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11142, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 2], "A": [-10.439475963886387, -0.9418017239026644], "B": [4.439475963886388, 4.941801723902664]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 2), radius=8; segment endpoints A=(-10.439475963886387, -0.9418017239026644), B=(4.439475963886388, 4.941801723902664). Is AB a diameter?", "im_path": "/images_full/task_11142_diameter.png", "im_dots_path": "/images/task_11142_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11143, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -1], "A": [8, 5], "B": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -1), radius=2; segment endpoints A=(8, 5), B=(-8, 4). Is AB a diameter?", "im_path": "/images_full/task_11143_diameter.png", "im_dots_path": "/images/task_11143_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11144, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -4], "A": [-7, -3], "B": [3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -4), radius=1; segment endpoints A=(-7, -3), B=(3, 10). Is AB a diameter?", "im_path": "/images_full/task_11144_diameter.png", "im_dots_path": "/images/task_11144_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11145, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 5], "A": [5, -5], "B": [-6, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 5), radius=4; segment endpoints A=(5, -5), B=(-6, -8). Is AB a diameter?", "im_path": "/images_full/task_11145_diameter.png", "im_dots_path": "/images/task_11145_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11146, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 4], "A": [8.693561845278023, 1.8070325736841846], "B": [-6.6935618452780234, 6.192967426315816]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 4), radius=8; segment endpoints A=(8.693561845278023, 1.8070325736841846), B=(-6.6935618452780234, 6.192967426315816). Is AB a diameter?", "im_path": "/images_full/task_11146_diameter.png", "im_dots_path": "/images/task_11146_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11147, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 0], "A": [-5, 4], "B": [-3, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 0), radius=6; segment endpoints A=(-5, 4), B=(-3, 0). Is AB a diameter?", "im_path": "/images_full/task_11147_diameter.png", "im_dots_path": "/images/task_11147_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11148, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, 5], "A": [-2, -1], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, 5), radius=1; segment endpoints A=(-2, -1), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11148_diameter.png", "im_dots_path": "/images/task_11148_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11149, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 5], "A": [-3.0352469273913965, 5.373825311709964], "B": [-6.9647530726086035, 4.626174688290036]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 5), radius=2; segment endpoints A=(-3.0352469273913965, 5.373825311709964), B=(-6.9647530726086035, 4.626174688290036). Is AB a diameter?", "im_path": "/images_full/task_11149_diameter.png", "im_dots_path": "/images/task_11149_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11150, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -5], "A": [9, 1], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -5), radius=6; segment endpoints A=(9, 1), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11150_diameter.png", "im_dots_path": "/images/task_11150_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11151, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 2], "A": [1.0318151628207621, 1.7497638694028927], "B": [2.968184837179238, 2.2502361305971075]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 2), radius=1; segment endpoints A=(1.0318151628207621, 1.7497638694028927), B=(2.968184837179238, 2.2502361305971075). Is AB a diameter?", "im_path": "/images_full/task_11151_diameter.png", "im_dots_path": "/images/task_11151_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11152, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [0.057820457821187166, -8.72517201459874], "B": [3.942179542178813, 4.7251720145987415]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=7; segment endpoints A=(0.057820457821187166, -8.72517201459874), B=(3.942179542178813, 4.7251720145987415). Is AB a diameter?", "im_path": "/images_full/task_11152_diameter.png", "im_dots_path": "/images/task_11152_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11153, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -2], "A": [5.603305522195814, -7.405811720556384], "B": [0.3966944778041852, 3.4058117205563843]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -2), radius=6; segment endpoints A=(5.603305522195814, -7.405811720556384), B=(0.3966944778041852, 3.4058117205563843). Is AB a diameter?", "im_path": "/images_full/task_11153_diameter.png", "im_dots_path": "/images/task_11153_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11154, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-7, 9], "B": [8, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=4; segment endpoints A=(-7, 9), B=(8, 1). Is AB a diameter?", "im_path": "/images_full/task_11154_diameter.png", "im_dots_path": "/images/task_11154_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11155, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -5], "A": [-0.43558190606327907, -10.825727816417768], "B": [2.435581906063279, 0.8257278164177668]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -5), radius=6; segment endpoints A=(-0.43558190606327907, -10.825727816417768), B=(2.435581906063279, 0.8257278164177668). Is AB a diameter?", "im_path": "/images_full/task_11155_diameter.png", "im_dots_path": "/images/task_11155_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11156, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, 1], "A": [-1.4224618189467173, -0.7891955072338994], "B": [-8.577538181053283, 2.7891955072338996]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, 1), radius=4; segment endpoints A=(-1.4224618189467173, -0.7891955072338994), B=(-8.577538181053283, 2.7891955072338996). Is AB a diameter?", "im_path": "/images_full/task_11156_diameter.png", "im_dots_path": "/images/task_11156_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11157, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-5, -2], "A": [-4, 1], "B": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-5, -2), radius=1; segment endpoints A=(-4, 1), B=(10, -7). Is AB a diameter?", "im_path": "/images_full/task_11157_diameter.png", "im_dots_path": "/images/task_11157_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11158, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [-9, -3], "B": [-5, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=4; segment endpoints A=(-9, -3), B=(-5, 10). Is AB a diameter?", "im_path": "/images_full/task_11158_diameter.png", "im_dots_path": "/images/task_11158_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11159, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -1], "A": [8, 2], "B": [10, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -1), radius=4; segment endpoints A=(8, 2), B=(10, 3). Is AB a diameter?", "im_path": "/images_full/task_11159_diameter.png", "im_dots_path": "/images/task_11159_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11160, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, 0], "A": [5.546161747317526, 7.584000287216303], "B": [0.45383825268247424, -7.584000287216303]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, 0), radius=8; segment endpoints A=(5.546161747317526, 7.584000287216303), B=(0.45383825268247424, -7.584000287216303). Is AB a diameter?", "im_path": "/images_full/task_11160_diameter.png", "im_dots_path": "/images/task_11160_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11161, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, 1], "A": [9, -6], "B": [-3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, 1), radius=1; segment endpoints A=(9, -6), B=(-3, 10). Is AB a diameter?", "im_path": "/images_full/task_11161_diameter.png", "im_dots_path": "/images/task_11161_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11162, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 5], "A": [-1.237267093293267, 3.0013414615630074], "B": [3.237267093293267, 6.998658538436993]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 5), radius=3; segment endpoints A=(-1.237267093293267, 3.0013414615630074), B=(3.237267093293267, 6.998658538436993). Is AB a diameter?", "im_path": "/images_full/task_11162_diameter.png", "im_dots_path": "/images/task_11162_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11163, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 0], "A": [5.090836446141704, -2.8749012454202156], "B": [-3.0908364461417044, 2.8749012454202156]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 0), radius=5; segment endpoints A=(5.090836446141704, -2.8749012454202156), B=(-3.0908364461417044, 2.8749012454202156). Is AB a diameter?", "im_path": "/images_full/task_11163_diameter.png", "im_dots_path": "/images/task_11163_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11164, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -3], "A": [10, -5], "B": [0, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -3), radius=2; segment endpoints A=(10, -5), B=(0, 7). Is AB a diameter?", "im_path": "/images_full/task_11164_diameter.png", "im_dots_path": "/images/task_11164_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11165, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [5, -1], "B": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=7; segment endpoints A=(5, -1), B=(6, -1). Is AB a diameter?", "im_path": "/images_full/task_11165_diameter.png", "im_dots_path": "/images/task_11165_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11166, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 3], "A": [-6.424892478027463, -0.18117847188833913], "B": [-1.5751075219725368, 6.181178471888339]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 3), radius=4; segment endpoints A=(-6.424892478027463, -0.18117847188833913), B=(-1.5751075219725368, 6.181178471888339). Is AB a diameter?", "im_path": "/images_full/task_11166_diameter.png", "im_dots_path": "/images/task_11166_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11167, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -5], "A": [10, -3], "B": [0, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -5), radius=1; segment endpoints A=(10, -3), B=(0, 7). Is AB a diameter?", "im_path": "/images_full/task_11167_diameter.png", "im_dots_path": "/images/task_11167_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11168, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 4], "A": [-4.7627701472940425, 7.973723723342703], "B": [6.7627701472940425, 0.026276276657296815]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 4), radius=7; segment endpoints A=(-4.7627701472940425, 7.973723723342703), B=(6.7627701472940425, 0.026276276657296815). Is AB a diameter?", "im_path": "/images_full/task_11168_diameter.png", "im_dots_path": "/images/task_11168_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11169, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 3], "A": [0, -9], "B": [2, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 3), radius=2; segment endpoints A=(0, -9), B=(2, -10). Is AB a diameter?", "im_path": "/images_full/task_11169_diameter.png", "im_dots_path": "/images/task_11169_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11170, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -2], "A": [7, -3], "B": [-3, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -2), radius=2; segment endpoints A=(7, -3), B=(-3, 8). Is AB a diameter?", "im_path": "/images_full/task_11170_diameter.png", "im_dots_path": "/images/task_11170_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11171, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 0], "A": [-4.274843460266762, -3.79140793793217], "B": [-1.7251565397332382, 3.79140793793217]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 0), radius=4; segment endpoints A=(-4.274843460266762, -3.79140793793217), B=(-1.7251565397332382, 3.79140793793217). Is AB a diameter?", "im_path": "/images_full/task_11171_diameter.png", "im_dots_path": "/images/task_11171_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11172, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, -2], "A": [1.020938981760818, -2.203566997729141], "B": [2.979061018239182, -1.796433002270859]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, -2), radius=1; segment endpoints A=(1.020938981760818, -2.203566997729141), B=(2.979061018239182, -1.796433002270859). Is AB a diameter?", "im_path": "/images_full/task_11172_diameter.png", "im_dots_path": "/images/task_11172_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11173, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -4], "A": [-10, -10], "B": [1, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -4), radius=8; segment endpoints A=(-10, -10), B=(1, 9). Is AB a diameter?", "im_path": "/images_full/task_11173_diameter.png", "im_dots_path": "/images/task_11173_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11174, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 3], "A": [-6, -10], "B": [7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 3), radius=5; segment endpoints A=(-6, -10), B=(7, 10). Is AB a diameter?", "im_path": "/images_full/task_11174_diameter.png", "im_dots_path": "/images/task_11174_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11175, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-1, -1], "A": [-7, 4], "B": [-4, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-1, -1), radius=7; segment endpoints A=(-7, 4), B=(-4, 3). Is AB a diameter?", "im_path": "/images_full/task_11175_diameter.png", "im_dots_path": "/images/task_11175_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11176, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 4], "A": [-2.0551168253787484, 3.001520087553], "B": [-1.9448831746212514, 4.998479912446999]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 4), radius=1; segment endpoints A=(-2.0551168253787484, 3.001520087553), B=(-1.9448831746212514, 4.998479912446999). Is AB a diameter?", "im_path": "/images_full/task_11176_diameter.png", "im_dots_path": "/images/task_11176_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11177, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 4], "A": [-7.263444819838835, 6.312991117118065], "B": [-0.7365551801611647, 1.6870088828819356]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 4), radius=4; segment endpoints A=(-7.263444819838835, 6.312991117118065), B=(-0.7365551801611647, 1.6870088828819356). Is AB a diameter?", "im_path": "/images_full/task_11177_diameter.png", "im_dots_path": "/images/task_11177_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11178, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -3], "A": [2.563091840866056, -8.82540083961733], "B": [5.436908159133944, 2.8254008396173305]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -3), radius=6; segment endpoints A=(2.563091840866056, -8.82540083961733), B=(5.436908159133944, 2.8254008396173305). Is AB a diameter?", "im_path": "/images_full/task_11178_diameter.png", "im_dots_path": "/images/task_11178_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11179, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [3, -1], "A": [0.27655484441387435, -2.258112270234443], "B": [5.723445155586125, 0.25811227023444294]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(3, -1), radius=3; segment endpoints A=(0.27655484441387435, -2.258112270234443), B=(5.723445155586125, 0.25811227023444294). Is AB a diameter?", "im_path": "/images_full/task_11179_diameter.png", "im_dots_path": "/images/task_11179_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11180, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 3], "A": [-0.6655773103975506, 4.1071821092705845], "B": [2.6655773103975506, 1.8928178907294153]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 3), radius=2; segment endpoints A=(-0.6655773103975506, 4.1071821092705845), B=(2.6655773103975506, 1.8928178907294153). Is AB a diameter?", "im_path": "/images_full/task_11180_diameter.png", "im_dots_path": "/images/task_11180_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11181, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, -1], "A": [5, -7], "B": [-8, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, -1), radius=2; segment endpoints A=(5, -7), B=(-8, 7). Is AB a diameter?", "im_path": "/images_full/task_11181_diameter.png", "im_dots_path": "/images/task_11181_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11182, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 4], "A": [10, -5], "B": [-7, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 4), radius=8; segment endpoints A=(10, -5), B=(-7, 4). Is AB a diameter?", "im_path": "/images_full/task_11182_diameter.png", "im_dots_path": "/images/task_11182_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11183, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, 1], "A": [-9, 8], "B": [10, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, 1), radius=2; segment endpoints A=(-9, 8), B=(10, -4). Is AB a diameter?", "im_path": "/images_full/task_11183_diameter.png", "im_dots_path": "/images/task_11183_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11184, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -3], "A": [6, -10], "B": [2, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -3), radius=3; segment endpoints A=(6, -10), B=(2, 7). Is AB a diameter?", "im_path": "/images_full/task_11184_diameter.png", "im_dots_path": "/images/task_11184_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11185, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [4, 1], "A": [7, 5], "B": [-7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(4, 1), radius=6; segment endpoints A=(7, 5), B=(-7, 10). Is AB a diameter?", "im_path": "/images_full/task_11185_diameter.png", "im_dots_path": "/images/task_11185_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11186, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 1], "A": [9, 10], "B": [6, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 1), radius=4; segment endpoints A=(9, 10), B=(6, -4). Is AB a diameter?", "im_path": "/images_full/task_11186_diameter.png", "im_dots_path": "/images/task_11186_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11187, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -1], "A": [6, -6], "B": [-3, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -1), radius=3; segment endpoints A=(6, -6), B=(-3, -9). Is AB a diameter?", "im_path": "/images_full/task_11187_diameter.png", "im_dots_path": "/images/task_11187_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11188, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, -2], "A": [-10, -8], "B": [-1, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, -2), radius=8; segment endpoints A=(-10, -8), B=(-1, 8). Is AB a diameter?", "im_path": "/images_full/task_11188_diameter.png", "im_dots_path": "/images/task_11188_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11189, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, -1], "A": [8.136601577076746, -3.482283333280001], "B": [1.8633984229232543, 1.4822833332800012]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, -1), radius=4; segment endpoints A=(8.136601577076746, -3.482283333280001), B=(1.8633984229232543, 1.4822833332800012). Is AB a diameter?", "im_path": "/images_full/task_11189_diameter.png", "im_dots_path": "/images/task_11189_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11190, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, 0], "A": [-7.853051122817442, -3.528157422695359], "B": [1.8530511228174422, 3.528157422695359]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, 0), radius=6; segment endpoints A=(-7.853051122817442, -3.528157422695359), B=(1.8530511228174422, 3.528157422695359). Is AB a diameter?", "im_path": "/images_full/task_11190_diameter.png", "im_dots_path": "/images/task_11190_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11191, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [0, -3], "A": [-0.9609953750903167, -3.276564439245217], "B": [0.9609953750903167, -2.723435560754783]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(0, -3), radius=1; segment endpoints A=(-0.9609953750903167, -3.276564439245217), B=(0.9609953750903167, -2.723435560754783). Is AB a diameter?", "im_path": "/images_full/task_11191_diameter.png", "im_dots_path": "/images/task_11191_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11192, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [2, 4], "A": [7.1545493538205855, -0.7360976509176611], "B": [-3.1545493538205855, 8.73609765091766]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(2, 4), radius=7; segment endpoints A=(7.1545493538205855, -0.7360976509176611), B=(-3.1545493538205855, 8.73609765091766). Is AB a diameter?", "im_path": "/images_full/task_11192_diameter.png", "im_dots_path": "/images/task_11192_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11193, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-4, 1], "A": [-3, 8], "B": [6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-4, 1), radius=1; segment endpoints A=(-3, 8), B=(6, -1). Is AB a diameter?", "im_path": "/images_full/task_11193_diameter.png", "im_dots_path": "/images/task_11193_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11194, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -1], "A": [-8, 6], "B": [4, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -1), radius=7; segment endpoints A=(-8, 6), B=(4, 1). Is AB a diameter?", "im_path": "/images_full/task_11194_diameter.png", "im_dots_path": "/images/task_11194_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11195, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [1, -2], "A": [-6, -9], "B": [-2, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(1, -2), radius=5; segment endpoints A=(-6, -9), B=(-2, 10). Is AB a diameter?", "im_path": "/images_full/task_11195_diameter.png", "im_dots_path": "/images/task_11195_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11196, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [5, 4], "A": [-1, 9], "B": [-6, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(5, 4), radius=2; segment endpoints A=(-1, 9), B=(-6, 1). Is AB a diameter?", "im_path": "/images_full/task_11196_diameter.png", "im_dots_path": "/images/task_11196_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11197, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, -5], "A": [4, -1], "B": [-2, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, -5), radius=5; segment endpoints A=(4, -1), B=(-2, -8). Is AB a diameter?", "im_path": "/images_full/task_11197_diameter.png", "im_dots_path": "/images/task_11197_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11198, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-2, 2], "A": [-7, 8], "B": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-2, 2), radius=4; segment endpoints A=(-7, 8), B=(1, -1). Is AB a diameter?", "im_path": "/images_full/task_11198_diameter.png", "im_dots_path": "/images/task_11198_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11199, "type": "unstable", "category_id": 111, "category": "Circle properties", "difficulty": 1, "schema_type": "classification", "points": {"center": [-3, -3], "A": [-2.731458306121435, -3.9632680616779687], "B": [-3.268541693878565, -2.0367319383220313]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Circle center O=(-3, -3), radius=1; segment endpoints A=(-2.731458306121435, -3.9632680616779687), B=(-3.268541693878565, -2.0367319383220313). Is AB a diameter?", "im_path": "/images_full/task_11199_diameter.png", "im_dots_path": "/images/task_11199_diameter.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. ", "image_question": "Refer to the input image. Is segment AB a diameter of the circle?", "image_choices": ["yes", "no"], "image_answer": "yes"}

circle_properties/inner_circle/inner_circle_center_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 6000, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -4], [-3, 8], [-1, 8]], "answer": {"point": [-1.3249683016680842, 7.306179153146083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -4), B=(-3, 8), C=(-1, 8). Find the incircle's center.", "im_path": "/images_full/task_06000_incircle.png", "im_dots_path": "/images/task_06000_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.3249683016680842, 7.306179153146083]}, "choices": null, "image_choices": null}
+{"qid": 6001, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -2], [-3, -8], [6, 6]], "answer": {"point": [-3.766314099606134, -2.767401802671977]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -2), B=(-3, -8), C=(6, 6). Find the incircle's center.", "im_path": "/images_full/task_06001_incircle.png", "im_dots_path": "/images/task_06001_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.766314099606134, -2.767401802671977]}, "choices": null, "image_choices": null}
+{"qid": 6002, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -7], [9, 0], [9, 10]], "answer": {"point": [7.17157287525381, 0.7573593128807149]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -7), B=(9, 0), C=(9, 10). Find the incircle's center.", "im_path": "/images_full/task_06002_incircle.png", "im_dots_path": "/images/task_06002_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.17157287525381, 0.7573593128807149]}, "choices": null, "image_choices": null}
+{"qid": 6003, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -1], [-3, -9], [-4, -10]], "answer": {"point": [-3.4331442241773704, -8.82058578788216]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -1), B=(-3, -9), C=(-4, -10). Find the incircle's center.", "im_path": "/images_full/task_06003_incircle.png", "im_dots_path": "/images/task_06003_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.4331442241773704, -8.82058578788216]}, "choices": null, "image_choices": null}
+{"qid": 6004, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 9], [9, 2], [4, 2]], "answer": {"point": [4.326805129243427, 3.0367451825787444]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 9), B=(9, 2), C=(4, 2). Find the incircle's center.", "im_path": "/images_full/task_06004_incircle.png", "im_dots_path": "/images/task_06004_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.326805129243427, 3.0367451825787444]}, "choices": null, "image_choices": null}
+{"qid": 6005, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 4], [2, -2], [4, -8]], "answer": {"point": [3.5454707469500355, -2.20696648079]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 4), B=(2, -2), C=(4, -8). Find the incircle's center.", "im_path": "/images_full/task_06005_incircle.png", "im_dots_path": "/images/task_06005_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.5454707469500355, -2.20696648079]}, "choices": null, "image_choices": null}
+{"qid": 6006, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -5], [-5, -2], [-9, 5]], "answer": {"point": [-3.706106781963858, -0.23049558608114068]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -5), B=(-5, -2), C=(-9, 5). Find the incircle's center.", "im_path": "/images_full/task_06006_incircle.png", "im_dots_path": "/images/task_06006_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.706106781963858, -0.23049558608114068]}, "choices": null, "image_choices": null}
+{"qid": 6007, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -10], [-9, 4], [-8, -1]], "answer": {"point": [-8.139817998456001, -1.0217075983731005]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -10), B=(-9, 4), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06007_incircle.png", "im_dots_path": "/images/task_06007_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.139817998456001, -1.0217075983731005]}, "choices": null, "image_choices": null}
+{"qid": 6008, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 0], [0, -9], [-10, -5]], "answer": {"point": [-1.5614163613692162, -5.158167856872356]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 0), B=(0, -9), C=(-10, -5). Find the incircle's center.", "im_path": "/images_full/task_06008_incircle.png", "im_dots_path": "/images/task_06008_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5614163613692162, -5.158167856872356]}, "choices": null, "image_choices": null}
+{"qid": 6009, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -5], [-6, -10], [2, -3]], "answer": {"point": [-5.701891443961832, -6.644635562732988]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -5), B=(-6, -10), C=(2, -3). Find the incircle's center.", "im_path": "/images_full/task_06009_incircle.png", "im_dots_path": "/images/task_06009_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.701891443961832, -6.644635562732988]}, "choices": null, "image_choices": null}
+{"qid": 6010, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -4], [4, 2], [-3, -10]], "answer": {"point": [-2.4687380441125892, -4.868495594703622]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -4), B=(4, 2), C=(-3, -10). Find the incircle's center.", "im_path": "/images_full/task_06010_incircle.png", "im_dots_path": "/images/task_06010_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.4687380441125892, -4.868495594703622]}, "choices": null, "image_choices": null}
+{"qid": 6011, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -5], [-10, 10], [-8, -1]], "answer": {"point": [-5.064686227583114, 1.788642042402124]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -5), B=(-10, 10), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06011_incircle.png", "im_dots_path": "/images/task_06011_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.064686227583114, 1.788642042402124]}, "choices": null, "image_choices": null}
+{"qid": 6012, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -5], [6, -5], [8, -4]], "answer": {"point": [5.909658580318814, -4.617307605046657]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -5), B=(6, -5), C=(8, -4). Find the incircle's center.", "im_path": "/images_full/task_06012_incircle.png", "im_dots_path": "/images/task_06012_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.909658580318814, -4.617307605046657]}, "choices": null, "image_choices": null}
+{"qid": 6013, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 10], [-6, 10], [10, -5]], "answer": {"point": [-1.834681519138483, 8.352835303495473]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 10), B=(-6, 10), C=(10, -5). Find the incircle's center.", "im_path": "/images_full/task_06013_incircle.png", "im_dots_path": "/images/task_06013_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.834681519138483, 8.352835303495473]}, "choices": null, "image_choices": null}
+{"qid": 6014, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -7], [9, -2], [-7, 5]], "answer": {"point": [-0.05898894861048046, -2.064397141034338]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -7), B=(9, -2), C=(-7, 5). Find the incircle's center.", "im_path": "/images_full/task_06014_incircle.png", "im_dots_path": "/images/task_06014_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.05898894861048046, -2.064397141034338]}, "choices": null, "image_choices": null}
+{"qid": 6015, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 0], [5, -9], [4, -8]], "answer": {"point": [4.1591652589753325, -7.885280172080908]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 0), B=(5, -9), C=(4, -8). Find the incircle's center.", "im_path": "/images_full/task_06015_incircle.png", "im_dots_path": "/images/task_06015_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.1591652589753325, -7.885280172080908]}, "choices": null, "image_choices": null}
+{"qid": 6016, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -3], [9, -9], [7, -6]], "answer": {"point": [6.5955006987302855, -6.458209615889102]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -3), B=(9, -9), C=(7, -6). Find the incircle's center.", "im_path": "/images_full/task_06016_incircle.png", "im_dots_path": "/images/task_06016_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.5955006987302855, -6.458209615889102]}, "choices": null, "image_choices": null}
+{"qid": 6017, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -9], [-5, 2], [-2, -1]], "answer": {"point": [-3.2105226926427934, -1.415339717568051]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -9), B=(-5, 2), C=(-2, -1). Find the incircle's center.", "im_path": "/images_full/task_06017_incircle.png", "im_dots_path": "/images/task_06017_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.2105226926427934, -1.415339717568051]}, "choices": null, "image_choices": null}
+{"qid": 6018, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 0], [-3, -8], [-9, 6]], "answer": {"point": [-1.5071060115885047, -1.312368846507664]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 0), B=(-3, -8), C=(-9, 6). Find the incircle's center.", "im_path": "/images_full/task_06018_incircle.png", "im_dots_path": "/images/task_06018_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5071060115885047, -1.312368846507664]}, "choices": null, "image_choices": null}
+{"qid": 6019, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 8], [7, 7], [-6, -7]], "answer": {"point": [-3.1933825803809266, 2.9286364592155345]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(7, 7), C=(-6, -7). Find the incircle's center.", "im_path": "/images_full/task_06019_incircle.png", "im_dots_path": "/images/task_06019_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.1933825803809266, 2.9286364592155345]}, "choices": null, "image_choices": null}
+{"qid": 6020, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 10], [-3, -5], [-1, 0]], "answer": {"point": [-1.309436181857611, 0.09198630905539791]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 10), B=(-3, -5), C=(-1, 0). Find the incircle's center.", "im_path": "/images_full/task_06020_incircle.png", "im_dots_path": "/images/task_06020_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.309436181857611, 0.09198630905539791]}, "choices": null, "image_choices": null}
+{"qid": 6021, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -10], [3, -8], [-1, -5]], "answer": {"point": [-1.0238351657558205, -7.050101370627492]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -10), B=(3, -8), C=(-1, -5). Find the incircle's center.", "im_path": "/images_full/task_06021_incircle.png", "im_dots_path": "/images/task_06021_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.0238351657558205, -7.050101370627492]}, "choices": null, "image_choices": null}
+{"qid": 6022, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -9], [1, 2], [9, 9]], "answer": {"point": [4.023681274207349, 1.08827840187018]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -9), B=(1, 2), C=(9, 9). Find the incircle's center.", "im_path": "/images_full/task_06022_incircle.png", "im_dots_path": "/images/task_06022_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.023681274207349, 1.08827840187018]}, "choices": null, "image_choices": null}
+{"qid": 6023, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -10], [10, -10], [5, 6]], "answer": {"point": [4.350597291166385, -5.846610462384601]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -10), B=(10, -10), C=(5, 6). Find the incircle's center.", "im_path": "/images_full/task_06023_incircle.png", "im_dots_path": "/images/task_06023_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.350597291166385, -5.846610462384601]}, "choices": null, "image_choices": null}
+{"qid": 6024, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -5], [5, -8], [10, 4]], "answer": {"point": [5.570436985901299, -5.1478150704935]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -5), B=(5, -8), C=(10, 4). Find the incircle's center.", "im_path": "/images_full/task_06024_incircle.png", "im_dots_path": "/images/task_06024_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.570436985901299, -5.1478150704935]}, "choices": null, "image_choices": null}
+{"qid": 6025, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 10], [-2, 8], [3, 7]], "answer": {"point": [-1.9549334199607817, 8.169701111096257]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 10), B=(-2, 8), C=(3, 7). Find the incircle's center.", "im_path": "/images_full/task_06025_incircle.png", "im_dots_path": "/images/task_06025_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.9549334199607817, 8.169701111096257]}, "choices": null, "image_choices": null}
+{"qid": 6026, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 9], [-4, -3], [-7, 4]], "answer": {"point": [-5.414720361814601, 3.892410605509304]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 9), B=(-4, -3), C=(-7, 4). Find the incircle's center.", "im_path": "/images_full/task_06026_incircle.png", "im_dots_path": "/images/task_06026_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.414720361814601, 3.892410605509304]}, "choices": null, "image_choices": null}
+{"qid": 6027, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -1], [-10, 0], [2, 5]], "answer": {"point": [-8.035806707387437, -0.06765045811820786]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -1), B=(-10, 0), C=(2, 5). Find the incircle's center.", "im_path": "/images_full/task_06027_incircle.png", "im_dots_path": "/images/task_06027_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.035806707387437, -0.06765045811820786]}, "choices": null, "image_choices": null}
+{"qid": 6028, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 4], [-2, 0], [2, -9]], "answer": {"point": [-1.4171290113910417, 0.12369364653033058]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 4), B=(-2, 0), C=(2, -9). Find the incircle's center.", "im_path": "/images_full/task_06028_incircle.png", "im_dots_path": "/images/task_06028_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.4171290113910417, 0.12369364653033058]}, "choices": null, "image_choices": null}
+{"qid": 6029, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -6], [-4, 10], [7, 10]], "answer": {"point": [1.3375235618025743, 6.07590117735765]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -6), B=(-4, 10), C=(7, 10). Find the incircle's center.", "im_path": "/images_full/task_06029_incircle.png", "im_dots_path": "/images/task_06029_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.3375235618025743, 6.07590117735765]}, "choices": null, "image_choices": null}
+{"qid": 6030, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 5], [9, -2], [9, -9]], "answer": {"point": [7.494714795226927, -2.6235095470565684]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(9, -2), C=(9, -9). Find the incircle's center.", "im_path": "/images_full/task_06030_incircle.png", "im_dots_path": "/images/task_06030_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.494714795226927, -2.6235095470565684]}, "choices": null, "image_choices": null}
+{"qid": 6031, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -1], [-2, -4], [-9, 10]], "answer": {"point": [-6.2169703215905106, 0.21697032159051044]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -1), B=(-2, -4), C=(-9, 10). Find the incircle's center.", "im_path": "/images_full/task_06031_incircle.png", "im_dots_path": "/images/task_06031_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.2169703215905106, 0.21697032159051044]}, "choices": null, "image_choices": null}
+{"qid": 6032, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -4], [9, 2], [-6, -9]], "answer": {"point": [-4.113519334212623, -5.2772095918326185]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -4), B=(9, 2), C=(-6, -9). Find the incircle's center.", "im_path": "/images_full/task_06032_incircle.png", "im_dots_path": "/images/task_06032_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-4.113519334212623, -5.2772095918326185]}, "choices": null, "image_choices": null}
+{"qid": 6033, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -7], [8, -2], [-10, 7]], "answer": {"point": [-3.0862527024062176, -1.3305558623174805]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -7), B=(8, -2), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06033_incircle.png", "im_dots_path": "/images/task_06033_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.0862527024062176, -1.3305558623174805]}, "choices": null, "image_choices": null}
+{"qid": 6034, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -3], [2, -4], [-5, -7]], "answer": {"point": [-1.544134153454637, -4.283982209755117]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -3), B=(2, -4), C=(-5, -7). Find the incircle's center.", "im_path": "/images_full/task_06034_incircle.png", "im_dots_path": "/images/task_06034_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.544134153454637, -4.283982209755117]}, "choices": null, "image_choices": null}
+{"qid": 6035, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -1], [2, -7], [7, -2]], "answer": {"point": [7.159866511258337, -2.221802936139879]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -1), B=(2, -7), C=(7, -2). Find the incircle's center.", "im_path": "/images_full/task_06035_incircle.png", "im_dots_path": "/images/task_06035_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.159866511258337, -2.221802936139879]}, "choices": null, "image_choices": null}
+{"qid": 6036, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 1], [-10, -5], [9, -6]], "answer": {"point": [6.105622353893009, -2.949280627365414]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 1), B=(-10, -5), C=(9, -6). Find the incircle's center.", "im_path": "/images_full/task_06036_incircle.png", "im_dots_path": "/images/task_06036_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.105622353893009, -2.949280627365414]}, "choices": null, "image_choices": null}
+{"qid": 6037, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -2], [10, 8], [8, 10]], "answer": {"point": [8.958984774530283, 7.684805951219691]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -2), B=(10, 8), C=(8, 10). Find the incircle's center.", "im_path": "/images_full/task_06037_incircle.png", "im_dots_path": "/images/task_06037_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [8.958984774530283, 7.684805951219691]}, "choices": null, "image_choices": null}
+{"qid": 6038, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 7], [-5, -3], [-2, 8]], "answer": {"point": [-5.454671517897938, 4.950277413112369]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 7), B=(-5, -3), C=(-2, 8). Find the incircle's center.", "im_path": "/images_full/task_06038_incircle.png", "im_dots_path": "/images/task_06038_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.454671517897938, 4.950277413112369]}, "choices": null, "image_choices": null}
+{"qid": 6039, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 10], [-8, 10], [5, -8]], "answer": {"point": [1.5464165174498423, 5.118809407230418]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 10), B=(-8, 10), C=(5, -8). Find the incircle's center.", "im_path": "/images_full/task_06039_incircle.png", "im_dots_path": "/images/task_06039_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.5464165174498423, 5.118809407230418]}, "choices": null, "image_choices": null}
+{"qid": 6040, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 4], [6, 6], [9, -10]], "answer": {"point": [3.0998513933002876, 1.706046606434512]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 4), B=(6, 6), C=(9, -10). Find the incircle's center.", "im_path": "/images_full/task_06040_incircle.png", "im_dots_path": "/images/task_06040_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.0998513933002876, 1.706046606434512]}, "choices": null, "image_choices": null}
+{"qid": 6041, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 2], [0, -5], [-9, 1]], "answer": {"point": [-3.4629243509098795, -0.2559585441524569]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 2), B=(0, -5), C=(-9, 1). Find the incircle's center.", "im_path": "/images_full/task_06041_incircle.png", "im_dots_path": "/images/task_06041_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.4629243509098795, -0.2559585441524569]}, "choices": null, "image_choices": null}
+{"qid": 6042, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -7], [-7, -4], [-5, 8]], "answer": {"point": [-6.801968897901201, -4.016389555087442]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -7), B=(-7, -4), C=(-5, 8). Find the incircle's center.", "im_path": "/images_full/task_06042_incircle.png", "im_dots_path": "/images/task_06042_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.801968897901201, -4.016389555087442]}, "choices": null, "image_choices": null}
+{"qid": 6043, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 1], [9, -1], [-1, -9]], "answer": {"point": [6.3976751205084605, -1.1129314809548083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 1), B=(9, -1), C=(-1, -9). Find the incircle's center.", "im_path": "/images_full/task_06043_incircle.png", "im_dots_path": "/images/task_06043_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.3976751205084605, -1.1129314809548083]}, "choices": null, "image_choices": null}
+{"qid": 6044, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 4], [-2, -10], [-6, -1]], "answer": {"point": [-1.1459868244642268, -3.14100454472838]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 4), B=(-2, -10), C=(-6, -1). Find the incircle's center.", "im_path": "/images_full/task_06044_incircle.png", "im_dots_path": "/images/task_06044_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.1459868244642268, -3.14100454472838]}, "choices": null, "image_choices": null}
+{"qid": 6045, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 0], [5, 2], [-7, 7]], "answer": {"point": [-1.9247743721465522, 2.519681060666077]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 0), B=(5, 2), C=(-7, 7). Find the incircle's center.", "im_path": "/images_full/task_06045_incircle.png", "im_dots_path": "/images/task_06045_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.9247743721465522, 2.519681060666077]}, "choices": null, "image_choices": null}
+{"qid": 6046, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -2], [5, -10], [-9, 3]], "answer": {"point": [-2.370257957877425, -2.4086832958590407]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -2), B=(5, -10), C=(-9, 3). Find the incircle's center.", "im_path": "/images_full/task_06046_incircle.png", "im_dots_path": "/images/task_06046_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.370257957877425, -2.4086832958590407]}, "choices": null, "image_choices": null}
+{"qid": 6047, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -7], [-1, 9], [3, 6]], "answer": {"point": [-0.003564555741872254, 5.5895905725288895]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -7), B=(-1, 9), C=(3, 6). Find the incircle's center.", "im_path": "/images_full/task_06047_incircle.png", "im_dots_path": "/images/task_06047_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.003564555741872254, 5.5895905725288895]}, "choices": null, "image_choices": null}
+{"qid": 6048, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 7], [-8, 7], [9, 9]], "answer": {"point": [8.058621384311845, 7.941378615688154]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 7), B=(-8, 7), C=(9, 9). Find the incircle's center.", "im_path": "/images_full/task_06048_incircle.png", "im_dots_path": "/images/task_06048_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [8.058621384311845, 7.941378615688154]}, "choices": null, "image_choices": null}
+{"qid": 6049, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 0], [-5, -9], [8, -2]], "answer": {"point": [7.574843294246655, -1.5875316704779365]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 0), B=(-5, -9), C=(8, -2). Find the incircle's center.", "im_path": "/images_full/task_06049_incircle.png", "im_dots_path": "/images/task_06049_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.574843294246655, -1.5875316704779365]}, "choices": null, "image_choices": null}
+{"qid": 6050, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 1], [-1, -9], [9, -3]], "answer": {"point": [1.2793028151071024, -3.847518136690018]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 1), B=(-1, -9), C=(9, -3). Find the incircle's center.", "im_path": "/images_full/task_06050_incircle.png", "im_dots_path": "/images/task_06050_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.2793028151071024, -3.847518136690018]}, "choices": null, "image_choices": null}
+{"qid": 6051, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -8], [-9, 5], [8, 4]], "answer": {"point": [-3.783357661281583, 0.25153126939244125]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(-9, 5), C=(8, 4). Find the incircle's center.", "im_path": "/images_full/task_06051_incircle.png", "im_dots_path": "/images/task_06051_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.783357661281583, 0.25153126939244125]}, "choices": null, "image_choices": null}
+{"qid": 6052, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -7], [-8, -6], [2, 8]], "answer": {"point": [-5.745476346558162, -5.266865400540572]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -7), B=(-8, -6), C=(2, 8). Find the incircle's center.", "im_path": "/images_full/task_06052_incircle.png", "im_dots_path": "/images/task_06052_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.745476346558162, -5.266865400540572]}, "choices": null, "image_choices": null}
+{"qid": 6053, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -4], [-2, 3], [-2, 4]], "answer": {"point": [-1.8251725517168682, 3.0358846802731883]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -4), B=(-2, 3), C=(-2, 4). Find the incircle's center.", "im_path": "/images_full/task_06053_incircle.png", "im_dots_path": "/images/task_06053_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.8251725517168682, 3.0358846802731883]}, "choices": null, "image_choices": null}
+{"qid": 6054, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -2], [-1, -2], [5, -5]], "answer": {"point": [4.551326328517689, -3.310490378814504]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -2), B=(-1, -2), C=(5, -5). Find the incircle's center.", "im_path": "/images_full/task_06054_incircle.png", "im_dots_path": "/images/task_06054_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.551326328517689, -3.310490378814504]}, "choices": null, "image_choices": null}
+{"qid": 6055, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -3], [-2, 10], [-4, -7]], "answer": {"point": [0.9971250410695313, -0.8592428775397574]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -3), B=(-2, 10), C=(-4, -7). Find the incircle's center.", "im_path": "/images_full/task_06055_incircle.png", "im_dots_path": "/images/task_06055_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.9971250410695313, -0.8592428775397574]}, "choices": null, "image_choices": null}
+{"qid": 6056, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 3], [-6, -3], [5, 0]], "answer": {"point": [-1.2369168537049304, 0.433036093586115]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 3), B=(-6, -3), C=(5, 0). Find the incircle's center.", "im_path": "/images_full/task_06056_incircle.png", "im_dots_path": "/images/task_06056_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.2369168537049304, 0.433036093586115]}, "choices": null, "image_choices": null}
+{"qid": 6057, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 3], [-10, -1], [-8, 1]], "answer": {"point": [-7.792833795118658, 0.6858243676823935]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 3), B=(-10, -1), C=(-8, 1). Find the incircle's center.", "im_path": "/images_full/task_06057_incircle.png", "im_dots_path": "/images/task_06057_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-7.792833795118658, 0.6858243676823935]}, "choices": null, "image_choices": null}
+{"qid": 6058, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -8], [10, -9], [-6, -2]], "answer": {"point": [3.3416207411569743, -7.1058559877047225]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -8), B=(10, -9), C=(-6, -2). Find the incircle's center.", "im_path": "/images_full/task_06058_incircle.png", "im_dots_path": "/images/task_06058_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.3416207411569743, -7.1058559877047225]}, "choices": null, "image_choices": null}
+{"qid": 6059, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 6], [5, 4], [0, 10]], "answer": {"point": [-0.6618596011182484, 7.159414642180114]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 6), B=(5, 4), C=(0, 10). Find the incircle's center.", "im_path": "/images_full/task_06059_incircle.png", "im_dots_path": "/images/task_06059_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.6618596011182484, 7.159414642180114]}, "choices": null, "image_choices": null}
+{"qid": 6060, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -9], [-3, 5], [-2, -9]], "answer": {"point": [1.4653478365377, -5.278298392000642]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -9), B=(-3, 5), C=(-2, -9). Find the incircle's center.", "im_path": "/images_full/task_06060_incircle.png", "im_dots_path": "/images/task_06060_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.4653478365377, -5.278298392000642]}, "choices": null, "image_choices": null}
+{"qid": 6061, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -3], [-9, 0], [-8, -1]], "answer": {"point": [-8.5488912789612, -1.0890727924366528]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -3), B=(-9, 0), C=(-8, -1). Find the incircle's center.", "im_path": "/images_full/task_06061_incircle.png", "im_dots_path": "/images/task_06061_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-8.5488912789612, -1.0890727924366528]}, "choices": null, "image_choices": null}
+{"qid": 6062, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -10], [7, 7], [3, 4]], "answer": {"point": [5.574429939884033, 3.3922595308766708]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -10), B=(7, 7), C=(3, 4). Find the incircle's center.", "im_path": "/images_full/task_06062_incircle.png", "im_dots_path": "/images/task_06062_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.574429939884033, 3.3922595308766708]}, "choices": null, "image_choices": null}
+{"qid": 6063, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, 0], [8, -4], [-4, 4]], "answer": {"point": [6.455166804079074, -1.1134527694087801]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 0), B=(8, -4), C=(-4, 4). Find the incircle's center.", "im_path": "/images_full/task_06063_incircle.png", "im_dots_path": "/images/task_06063_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.455166804079074, -1.1134527694087801]}, "choices": null, "image_choices": null}
+{"qid": 6064, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 1], [-10, -2], [-3, -9]], "answer": {"point": [-6.516798611405544, -2.428801686095225]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 1), B=(-10, -2), C=(-3, -9). Find the incircle's center.", "im_path": "/images_full/task_06064_incircle.png", "im_dots_path": "/images/task_06064_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.516798611405544, -2.428801686095225]}, "choices": null, "image_choices": null}
+{"qid": 6065, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 7], [-7, -7], [5, 10]], "answer": {"point": [4.60212836577042, 7.302791849010884]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 7), B=(-7, -7), C=(5, 10). Find the incircle's center.", "im_path": "/images_full/task_06065_incircle.png", "im_dots_path": "/images/task_06065_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.60212836577042, 7.302791849010884]}, "choices": null, "image_choices": null}
+{"qid": 6066, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -8], [-1, -4], [0, -7]], "answer": {"point": [0.6923534149751509, -6.215714362572559]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -8), B=(-1, -4), C=(0, -7). Find the incircle's center.", "im_path": "/images_full/task_06066_incircle.png", "im_dots_path": "/images/task_06066_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.6923534149751509, -6.215714362572559]}, "choices": null, "image_choices": null}
+{"qid": 6067, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 8], [10, -8], [1, 9]], "answer": {"point": [3.8425996272754985, 6.773560782560234]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 8), B=(10, -8), C=(1, 9). Find the incircle's center.", "im_path": "/images_full/task_06067_incircle.png", "im_dots_path": "/images/task_06067_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.8425996272754985, 6.773560782560234]}, "choices": null, "image_choices": null}
+{"qid": 6068, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -10], [-1, 3], [-9, 9]], "answer": {"point": [-5.566084380618437, 2.132168761236874]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -10), B=(-1, 3), C=(-9, 9). Find the incircle's center.", "im_path": "/images_full/task_06068_incircle.png", "im_dots_path": "/images/task_06068_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.566084380618437, 2.132168761236874]}, "choices": null, "image_choices": null}
+{"qid": 6069, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 8], [10, -10], [-5, -5]], "answer": {"point": [-1.6039192172800103, -2.348420250608794]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 8), B=(10, -10), C=(-5, -5). Find the incircle's center.", "im_path": "/images_full/task_06069_incircle.png", "im_dots_path": "/images/task_06069_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.6039192172800103, -2.348420250608794]}, "choices": null, "image_choices": null}
+{"qid": 6070, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -3], [9, 3], [-2, -5]], "answer": {"point": [-2.035246546525913, -3.2722002022956223]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(9, 3), C=(-2, -5). Find the incircle's center.", "im_path": "/images_full/task_06070_incircle.png", "im_dots_path": "/images/task_06070_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.035246546525913, -3.2722002022956223]}, "choices": null, "image_choices": null}
+{"qid": 6071, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 10], [-6, -3], [6, -3]], "answer": {"point": [1.62413651444541, 0.7541362364800875]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 10), B=(-6, -3), C=(6, -3). Find the incircle's center.", "im_path": "/images_full/task_06071_incircle.png", "im_dots_path": "/images/task_06071_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.62413651444541, 0.7541362364800875]}, "choices": null, "image_choices": null}
+{"qid": 6072, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -3], [9, -10], [6, 5]], "answer": {"point": [2.6714029050110546, -2.313208019229203]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -3), B=(9, -10), C=(6, 5). Find the incircle's center.", "im_path": "/images_full/task_06072_incircle.png", "im_dots_path": "/images/task_06072_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [2.6714029050110546, -2.313208019229203]}, "choices": null, "image_choices": null}
+{"qid": 6073, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 2], [8, 6], [0, 7]], "answer": {"point": [4.148347326652319, 4.678468116920699]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 2), B=(8, 6), C=(0, 7). Find the incircle's center.", "im_path": "/images_full/task_06073_incircle.png", "im_dots_path": "/images/task_06073_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [4.148347326652319, 4.678468116920699]}, "choices": null, "image_choices": null}
+{"qid": 6074, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, 7], [8, 5], [6, 9]], "answer": {"point": [7.569918512921979, 6.821854415126695]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 7), B=(8, 5), C=(6, 9). Find the incircle's center.", "im_path": "/images_full/task_06074_incircle.png", "im_dots_path": "/images/task_06074_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [7.569918512921979, 6.821854415126695]}, "choices": null, "image_choices": null}
+{"qid": 6075, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 2], [2, 1], [8, 5]], "answer": {"point": [1.7085375310005158, 2.2849546246845143]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 2), B=(2, 1), C=(8, 5). Find the incircle's center.", "im_path": "/images_full/task_06075_incircle.png", "im_dots_path": "/images/task_06075_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.7085375310005158, 2.2849546246845143]}, "choices": null, "image_choices": null}
+{"qid": 6076, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -6], [9, 0], [3, -9]], "answer": {"point": [2.517201175879653, -6.181440068242658]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -6), B=(9, 0), C=(3, -9). Find the incircle's center.", "im_path": "/images_full/task_06076_incircle.png", "im_dots_path": "/images/task_06076_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [2.517201175879653, -6.181440068242658]}, "choices": null, "image_choices": null}
+{"qid": 6077, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 0], [5, -5], [4, 10]], "answer": {"point": [-0.022147193196559615, 1.5003460509488586]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 0), B=(5, -5), C=(4, 10). Find the incircle's center.", "im_path": "/images_full/task_06077_incircle.png", "im_dots_path": "/images/task_06077_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.022147193196559615, 1.5003460509488586]}, "choices": null, "image_choices": null}
+{"qid": 6078, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -5], [-8, -9], [1, 2]], "answer": {"point": [-0.11742361073693001, -3.4091425164171185]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -5), B=(-8, -9), C=(1, 2). Find the incircle's center.", "im_path": "/images_full/task_06078_incircle.png", "im_dots_path": "/images/task_06078_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.11742361073693001, -3.4091425164171185]}, "choices": null, "image_choices": null}
+{"qid": 6079, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -9], [-8, 5], [9, -7]], "answer": {"point": [5.411891669731429, -6.728554224432714]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -9), B=(-8, 5), C=(9, -7). Find the incircle's center.", "im_path": "/images_full/task_06079_incircle.png", "im_dots_path": "/images/task_06079_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.411891669731429, -6.728554224432714]}, "choices": null, "image_choices": null}
+{"qid": 6080, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 9], [9, -6], [6, 8]], "answer": {"point": [5.3225011495311, 7.475143362980634]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 9), B=(9, -6), C=(6, 8). Find the incircle's center.", "im_path": "/images_full/task_06080_incircle.png", "im_dots_path": "/images/task_06080_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.3225011495311, 7.475143362980634]}, "choices": null, "image_choices": null}
+{"qid": 6081, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, -10], [0, -4], [6, -2]], "answer": {"point": [3.8956447324581047, -4.919636973049093]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -10), B=(0, -4), C=(6, -2). Find the incircle's center.", "im_path": "/images_full/task_06081_incircle.png", "im_dots_path": "/images/task_06081_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.8956447324581047, -4.919636973049093]}, "choices": null, "image_choices": null}
+{"qid": 6082, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -10], [-1, 5], [10, 4]], "answer": {"point": [5.8375644947648695, 0.7082530728523952]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -10), B=(-1, 5), C=(10, 4). Find the incircle's center.", "im_path": "/images_full/task_06082_incircle.png", "im_dots_path": "/images/task_06082_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [5.8375644947648695, 0.7082530728523952]}, "choices": null, "image_choices": null}
+{"qid": 6083, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 4], [0, -8], [-7, 1]], "answer": {"point": [-6.918841415997244, 1.0584957977066853]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 4), B=(0, -8), C=(-7, 1). Find the incircle's center.", "im_path": "/images_full/task_06083_incircle.png", "im_dots_path": "/images/task_06083_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-6.918841415997244, 1.0584957977066853]}, "choices": null, "image_choices": null}
+{"qid": 6084, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 4], [4, -7], [2, 1]], "answer": {"point": [0.3405454522191604, -0.5367065854349083]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 4), B=(4, -7), C=(2, 1). Find the incircle's center.", "im_path": "/images_full/task_06084_incircle.png", "im_dots_path": "/images/task_06084_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.3405454522191604, -0.5367065854349083]}, "choices": null, "image_choices": null}
+{"qid": 6085, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 8], [6, -4], [-10, 7]], "answer": {"point": [1.4382509920880913, 3.8607131880683783]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 8), B=(6, -4), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06085_incircle.png", "im_dots_path": "/images/task_06085_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.4382509920880913, 3.8607131880683783]}, "choices": null, "image_choices": null}
+{"qid": 6086, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 5], [-3, 4], [4, 9]], "answer": {"point": [-3.162904067859621, 5.083371939230182]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(-3, 4), C=(4, 9). Find the incircle's center.", "im_path": "/images_full/task_06086_incircle.png", "im_dots_path": "/images/task_06086_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.162904067859621, 5.083371939230182]}, "choices": null, "image_choices": null}
+{"qid": 6087, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -7], [-4, -10], [-10, 6]], "answer": {"point": [-2.0901699437494745, -5.798373876248844]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -7), B=(-4, -10), C=(-10, 6). Find the incircle's center.", "im_path": "/images_full/task_06087_incircle.png", "im_dots_path": "/images/task_06087_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.0901699437494745, -5.798373876248844]}, "choices": null, "image_choices": null}
+{"qid": 6088, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 9], [0, -6], [-6, 8]], "answer": {"point": [-4.669987237104442, 7.512805882425503]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 9), B=(0, -6), C=(-6, 8). Find the incircle's center.", "im_path": "/images_full/task_06088_incircle.png", "im_dots_path": "/images/task_06088_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-4.669987237104442, 7.512805882425503]}, "choices": null, "image_choices": null}
+{"qid": 6089, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -9], [-7, -6], [3, 5]], "answer": {"point": [-1.5577477947921234, -4.684875339327577]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -9), B=(-7, -6), C=(3, 5). Find the incircle's center.", "im_path": "/images_full/task_06089_incircle.png", "im_dots_path": "/images/task_06089_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-1.5577477947921234, -4.684875339327577]}, "choices": null, "image_choices": null}
+{"qid": 6090, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 8], [-7, -4], [-5, -4]], "answer": {"point": [-5.758207209961461, -3.1049663971805015]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 8), B=(-7, -4), C=(-5, -4). Find the incircle's center.", "im_path": "/images_full/task_06090_incircle.png", "im_dots_path": "/images/task_06090_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-5.758207209961461, -3.1049663971805015]}, "choices": null, "image_choices": null}
+{"qid": 6091, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 5], [-1, 1], [-7, -7]], "answer": {"point": [-0.0644868328535714, -0.26166479038158]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 5), B=(-1, 1), C=(-7, -7). Find the incircle's center.", "im_path": "/images_full/task_06091_incircle.png", "im_dots_path": "/images/task_06091_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.0644868328535714, -0.26166479038158]}, "choices": null, "image_choices": null}
+{"qid": 6092, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, -1], [4, 2], [-10, 7]], "answer": {"point": [-3.13990077290528, 1.9437837940704306]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -1), B=(4, 2), C=(-10, 7). Find the incircle's center.", "im_path": "/images_full/task_06092_incircle.png", "im_dots_path": "/images/task_06092_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.13990077290528, 1.9437837940704306]}, "choices": null, "image_choices": null}
+{"qid": 6093, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -2], [-7, -3], [7, -10]], "answer": {"point": [0.06193968802880893, -4.2096589251034064]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -2), B=(-7, -3), C=(7, -10). Find the incircle's center.", "im_path": "/images_full/task_06093_incircle.png", "im_dots_path": "/images/task_06093_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [0.06193968802880893, -4.2096589251034064]}, "choices": null, "image_choices": null}
+{"qid": 6094, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 5], [0, -2], [-5, -5]], "answer": {"point": [-0.07550919740058384, -1.8836277358246583]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 5), B=(0, -2), C=(-5, -5). Find the incircle's center.", "im_path": "/images_full/task_06094_incircle.png", "im_dots_path": "/images/task_06094_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-0.07550919740058384, -1.8836277358246583]}, "choices": null, "image_choices": null}
+{"qid": 6095, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -6], [-8, 8], [10, -9]], "answer": {"point": [6.957900510107257, -6.043576218428055]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -6), B=(-8, 8), C=(10, -9). Find the incircle's center.", "im_path": "/images_full/task_06095_incircle.png", "im_dots_path": "/images/task_06095_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [6.957900510107257, -6.043576218428055]}, "choices": null, "image_choices": null}
+{"qid": 6096, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -3], [-9, -1], [3, -7]], "answer": {"point": [-3.1973608789618795, -3.403531821490685]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -3), B=(-9, -1), C=(3, -7). Find the incircle's center.", "im_path": "/images_full/task_06096_incircle.png", "im_dots_path": "/images/task_06096_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-3.1973608789618795, -3.403531821490685]}, "choices": null, "image_choices": null}
+{"qid": 6097, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -6], [3, 10], [5, -4]], "answer": {"point": [3.114130632630757, -3.0118931887834637]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -6), B=(3, 10), C=(5, -4). Find the incircle's center.", "im_path": "/images_full/task_06097_incircle.png", "im_dots_path": "/images/task_06097_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [3.114130632630757, -3.0118931887834637]}, "choices": null, "image_choices": null}
+{"qid": 6098, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 5], [4, -6], [-4, -10]], "answer": {"point": [1.0415945787922951, -4.520797289396147]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(4, -6), C=(-4, -10). Find the incircle's center.", "im_path": "/images_full/task_06098_incircle.png", "im_dots_path": "/images/task_06098_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [1.0415945787922951, -4.520797289396147]}, "choices": null, "image_choices": null}
+{"qid": 6099, "type": "numeric", "category_id": 60, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 6], [-3, -4], [6, 5]], "answer": {"point": [-2.493147986689658, 1.7887021887510577]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 6), B=(-3, -4), C=(6, 5). Find the incircle's center.", "im_path": "/images_full/task_06099_incircle.png", "im_dots_path": "/images/task_06099_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's center?", "image_answer": {"point": [-2.493147986689658, 1.7887021887510577]}, "choices": null, "image_choices": null}

circle_properties/inner_circle_radius/inner_circle_radius_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 6100, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[4, -3], [-1, 9], [8, -4]], "answer": 1.3056220052, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -3), B=(-1, 9), C=(8, -4). Find the incircle's radius.", "im_path": "/images_full/task_06100_incircle.png", "im_dots_path": "/images/task_06100_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.3056220052, "choices": null, "image_choices": null}
+{"qid": 6101, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -6], [7, -2], [2, 3]], "answer": 2.5705344447, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -6), B=(7, -2), C=(2, 3). Find the incircle's radius.", "im_path": "/images_full/task_06101_incircle.png", "im_dots_path": "/images/task_06101_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.5705344447, "choices": null, "image_choices": null}
+{"qid": 6102, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, 1], [5, 3], [-6, 2]], "answer": 0.6235010942, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 1), B=(5, 3), C=(-6, 2). Find the incircle's radius.", "im_path": "/images_full/task_06102_incircle.png", "im_dots_path": "/images/task_06102_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6235010942, "choices": null, "image_choices": null}
+{"qid": 6103, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 6], [2, -1], [6, -10]], "answer": 1.2659394864, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 6), B=(2, -1), C=(6, -10). Find the incircle's radius.", "im_path": "/images_full/task_06103_incircle.png", "im_dots_path": "/images/task_06103_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.2659394864, "choices": null, "image_choices": null}
+{"qid": 6104, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -4], [7, 10], [2, -3]], "answer": 2.9848137272, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -4), B=(7, 10), C=(2, -3). Find the incircle's radius.", "im_path": "/images_full/task_06104_incircle.png", "im_dots_path": "/images/task_06104_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9848137272, "choices": null, "image_choices": null}
+{"qid": 6105, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, 5], [10, 9], [-1, 7]], "answer": 1.4221169628, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 5), B=(10, 9), C=(-1, 7). Find the incircle's radius.", "im_path": "/images_full/task_06105_incircle.png", "im_dots_path": "/images/task_06105_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.4221169628, "choices": null, "image_choices": null}
+{"qid": 6106, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, 9], [-9, -4], [2, 10]], "answer": 2.3152492221, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 9), B=(-9, -4), C=(2, 10). Find the incircle's radius.", "im_path": "/images_full/task_06106_incircle.png", "im_dots_path": "/images/task_06106_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.3152492221, "choices": null, "image_choices": null}
+{"qid": 6107, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -10], [-9, -5], [-9, 1]], "answer": 0.2709491011, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -10), B=(-9, -5), C=(-9, 1). Find the incircle's radius.", "im_path": "/images_full/task_06107_incircle.png", "im_dots_path": "/images/task_06107_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2709491011, "choices": null, "image_choices": null}
+{"qid": 6108, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -8], [0, -3], [-10, -4]], "answer": 1.7976889032, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -8), B=(0, -3), C=(-10, -4). Find the incircle's radius.", "im_path": "/images_full/task_06108_incircle.png", "im_dots_path": "/images/task_06108_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7976889032, "choices": null, "image_choices": null}
+{"qid": 6109, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, 9], [3, 7], [-8, 9]], "answer": 0.9873712535, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 9), B=(3, 7), C=(-8, 9). Find the incircle's radius.", "im_path": "/images_full/task_06109_incircle.png", "im_dots_path": "/images/task_06109_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9873712535, "choices": null, "image_choices": null}
+{"qid": 6110, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, -6], [6, 7], [5, -7]], "answer": 2.9807977355, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -6), B=(6, 7), C=(5, -7). Find the incircle's radius.", "im_path": "/images_full/task_06110_incircle.png", "im_dots_path": "/images/task_06110_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9807977355, "choices": null, "image_choices": null}
+{"qid": 6111, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -5], [-2, -4], [-9, 8]], "answer": 1.4448003327, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -5), B=(-2, -4), C=(-9, 8). Find the incircle's radius.", "im_path": "/images_full/task_06111_incircle.png", "im_dots_path": "/images/task_06111_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.4448003327, "choices": null, "image_choices": null}
+{"qid": 6112, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-1, -4], [-8, 6], [2, 7]], "answer": 3.1790186681, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -4), B=(-8, 6), C=(2, 7). Find the incircle's radius.", "im_path": "/images_full/task_06112_incircle.png", "im_dots_path": "/images/task_06112_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.1790186681, "choices": null, "image_choices": null}
+{"qid": 6113, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[1, -10], [-7, 1], [-9, 4]], "answer": 0.0581198142, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -10), B=(-7, 1), C=(-9, 4). Find the incircle's radius.", "im_path": "/images_full/task_06113_incircle.png", "im_dots_path": "/images/task_06113_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.0581198142, "choices": null, "image_choices": null}
+{"qid": 6114, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 9], [9, -2], [2, 5]], "answer": 0.4100763509, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 9), B=(9, -2), C=(2, 5). Find the incircle's radius.", "im_path": "/images_full/task_06114_incircle.png", "im_dots_path": "/images/task_06114_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4100763509, "choices": null, "image_choices": null}
+{"qid": 6115, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 6], [-8, -3], [-7, -3]], "answer": 0.4723074309, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 6), B=(-8, -3), C=(-7, -3). Find the incircle's radius.", "im_path": "/images_full/task_06115_incircle.png", "im_dots_path": "/images/task_06115_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4723074309, "choices": null, "image_choices": null}
+{"qid": 6116, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-1, 4], [1, 6], [9, 7]], "answer": 0.6563220504, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 4), B=(1, 6), C=(9, 7). Find the incircle's radius.", "im_path": "/images_full/task_06116_incircle.png", "im_dots_path": "/images/task_06116_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6563220504, "choices": null, "image_choices": null}
+{"qid": 6117, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, 1], [6, 0], [-10, -6]], "answer": 0.1886759825, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 1), B=(6, 0), C=(-10, -6). Find the incircle's radius.", "im_path": "/images_full/task_06117_incircle.png", "im_dots_path": "/images/task_06117_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.1886759825, "choices": null, "image_choices": null}
+{"qid": 6118, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -3], [-3, 8], [-1, 0]], "answer": 1.5556842136, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(-3, 8), C=(-1, 0). Find the incircle's radius.", "im_path": "/images_full/task_06118_incircle.png", "im_dots_path": "/images/task_06118_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5556842136, "choices": null, "image_choices": null}
+{"qid": 6119, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, 5], [9, -9], [-10, 0]], "answer": 4.0864580272, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(9, -9), C=(-10, 0). Find the incircle's radius.", "im_path": "/images_full/task_06119_incircle.png", "im_dots_path": "/images/task_06119_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.0864580272, "choices": null, "image_choices": null}
+{"qid": 6120, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 7], [8, 7], [6, 1]], "answer": 2.5250841591, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 7), B=(8, 7), C=(6, 1). Find the incircle's radius.", "im_path": "/images_full/task_06120_incircle.png", "im_dots_path": "/images/task_06120_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.5250841591, "choices": null, "image_choices": null}
+{"qid": 6121, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, -1], [3, 6], [-1, 8]], "answer": 1.7603815663, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -1), B=(3, 6), C=(-1, 8). Find the incircle's radius.", "im_path": "/images_full/task_06121_incircle.png", "im_dots_path": "/images/task_06121_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7603815663, "choices": null, "image_choices": null}
+{"qid": 6122, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[8, -9], [0, -6], [3, 3]], "answer": 2.6103066674, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -9), B=(0, -6), C=(3, 3). Find the incircle's radius.", "im_path": "/images_full/task_06122_incircle.png", "im_dots_path": "/images/task_06122_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.6103066674, "choices": null, "image_choices": null}
+{"qid": 6123, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -6], [9, 7], [7, 4]], "answer": 0.9700193036, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -6), B=(9, 7), C=(7, 4). Find the incircle's radius.", "im_path": "/images_full/task_06123_incircle.png", "im_dots_path": "/images/task_06123_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9700193036, "choices": null, "image_choices": null}
+{"qid": 6124, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -1], [5, -10], [5, 7]], "answer": 2.3142090824, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -1), B=(5, -10), C=(5, 7). Find the incircle's radius.", "im_path": "/images_full/task_06124_incircle.png", "im_dots_path": "/images/task_06124_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.3142090824, "choices": null, "image_choices": null}
+{"qid": 6125, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, -9], [-8, 8], [9, -5]], "answer": 4.1264621122, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -9), B=(-8, 8), C=(9, -5). Find the incircle's radius.", "im_path": "/images_full/task_06125_incircle.png", "im_dots_path": "/images/task_06125_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.1264621122, "choices": null, "image_choices": null}
+{"qid": 6126, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -3], [6, 2], [-7, 5]], "answer": 2.910523272, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -3), B=(6, 2), C=(-7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06126_incircle.png", "im_dots_path": "/images/task_06126_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.910523272, "choices": null, "image_choices": null}
+{"qid": 6127, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 7], [-8, -7], [-3, -6]], "answer": 1.9179494894, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 7), B=(-8, -7), C=(-3, -6). Find the incircle's radius.", "im_path": "/images_full/task_06127_incircle.png", "im_dots_path": "/images/task_06127_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9179494894, "choices": null, "image_choices": null}
+{"qid": 6128, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 3], [-7, 7], [-8, -4]], "answer": 1.534784516, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 3), B=(-7, 7), C=(-8, -4). Find the incircle's radius.", "im_path": "/images_full/task_06128_incircle.png", "im_dots_path": "/images/task_06128_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.534784516, "choices": null, "image_choices": null}
+{"qid": 6129, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -3], [9, 8], [6, 6]], "answer": 0.1138495484, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -3), B=(9, 8), C=(6, 6). Find the incircle's radius.", "im_path": "/images_full/task_06129_incircle.png", "im_dots_path": "/images/task_06129_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.1138495484, "choices": null, "image_choices": null}
+{"qid": 6130, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[8, -8], [-4, 5], [-3, 7]], "answer": 0.9603168719, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -8), B=(-4, 5), C=(-3, 7). Find the incircle's radius.", "im_path": "/images_full/task_06130_incircle.png", "im_dots_path": "/images/task_06130_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9603168719, "choices": null, "image_choices": null}
+{"qid": 6131, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[4, -1], [-4, -8], [1, 3]], "answer": 1.9124466214, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -1), B=(-4, -8), C=(1, 3). Find the incircle's radius.", "im_path": "/images_full/task_06131_incircle.png", "im_dots_path": "/images/task_06131_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9124466214, "choices": null, "image_choices": null}
+{"qid": 6132, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, -8], [8, 0], [1, 10]], "answer": 4.2123110081, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(8, 0), C=(1, 10). Find the incircle's radius.", "im_path": "/images_full/task_06132_incircle.png", "im_dots_path": "/images/task_06132_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.2123110081, "choices": null, "image_choices": null}
+{"qid": 6133, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, -6], [-10, 7], [-6, -4]], "answer": 0.485252684, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -6), B=(-10, 7), C=(-6, -4). Find the incircle's radius.", "im_path": "/images_full/task_06133_incircle.png", "im_dots_path": "/images/task_06133_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.485252684, "choices": null, "image_choices": null}
+{"qid": 6134, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -2], [-2, 9], [7, 1]], "answer": 2.6915100549, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -2), B=(-2, 9), C=(7, 1). Find the incircle's radius.", "im_path": "/images_full/task_06134_incircle.png", "im_dots_path": "/images/task_06134_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.6915100549, "choices": null, "image_choices": null}
+{"qid": 6135, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -3], [-5, 9], [7, 5]], "answer": 3.6905845534, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -3), B=(-5, 9), C=(7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06135_incircle.png", "im_dots_path": "/images/task_06135_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.6905845534, "choices": null, "image_choices": null}
+{"qid": 6136, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, -6], [-2, 4], [-1, 1]], "answer": 0.0928144002, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -6), B=(-2, 4), C=(-1, 1). Find the incircle's radius.", "im_path": "/images_full/task_06136_incircle.png", "im_dots_path": "/images/task_06136_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.0928144002, "choices": null, "image_choices": null}
+{"qid": 6137, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, 5], [1, -9], [-7, 5]], "answer": 1.6145430996, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 5), B=(1, -9), C=(-7, 5). Find the incircle's radius.", "im_path": "/images_full/task_06137_incircle.png", "im_dots_path": "/images/task_06137_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.6145430996, "choices": null, "image_choices": null}
+{"qid": 6138, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, 7], [-2, 8], [0, -8]], "answer": 3.0795084338, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 7), B=(-2, 8), C=(0, -8). Find the incircle's radius.", "im_path": "/images_full/task_06138_incircle.png", "im_dots_path": "/images/task_06138_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.0795084338, "choices": null, "image_choices": null}
+{"qid": 6139, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, -6], [-4, -9], [1, -3]], "answer": 2.1825149497, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -6), B=(-4, -9), C=(1, -3). Find the incircle's radius.", "im_path": "/images_full/task_06139_incircle.png", "im_dots_path": "/images/task_06139_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.1825149497, "choices": null, "image_choices": null}
+{"qid": 6140, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -3], [8, -5], [9, 0]], "answer": 0.9860241491, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -3), B=(8, -5), C=(9, 0). Find the incircle's radius.", "im_path": "/images_full/task_06140_incircle.png", "im_dots_path": "/images/task_06140_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9860241491, "choices": null, "image_choices": null}
+{"qid": 6141, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 5], [-8, 6], [1, 10]], "answer": 1.5163648697, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 5), B=(-8, 6), C=(1, 10). Find the incircle's radius.", "im_path": "/images_full/task_06141_incircle.png", "im_dots_path": "/images/task_06141_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5163648697, "choices": null, "image_choices": null}
+{"qid": 6142, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, -6], [-1, -1], [-10, -5]], "answer": 1.1880417662, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -6), B=(-1, -1), C=(-10, -5). Find the incircle's radius.", "im_path": "/images_full/task_06142_incircle.png", "im_dots_path": "/images/task_06142_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1880417662, "choices": null, "image_choices": null}
+{"qid": 6143, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -8], [7, 3], [0, 10]], "answer": 1.5289611963, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -8), B=(7, 3), C=(0, 10). Find the incircle's radius.", "im_path": "/images_full/task_06143_incircle.png", "im_dots_path": "/images/task_06143_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5289611963, "choices": null, "image_choices": null}
+{"qid": 6144, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, -9], [-10, 5], [0, 2]], "answer": 1.7200709189, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -9), B=(-10, 5), C=(0, 2). Find the incircle's radius.", "im_path": "/images_full/task_06144_incircle.png", "im_dots_path": "/images/task_06144_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7200709189, "choices": null, "image_choices": null}
+{"qid": 6145, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -5], [-9, -6], [-5, -3]], "answer": 0.7192235936, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -5), B=(-9, -6), C=(-5, -3). Find the incircle's radius.", "im_path": "/images_full/task_06145_incircle.png", "im_dots_path": "/images/task_06145_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.7192235936, "choices": null, "image_choices": null}
+{"qid": 6146, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 7], [-2, 3], [-3, 5]], "answer": 0.6015804344, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 7), B=(-2, 3), C=(-3, 5). Find the incircle's radius.", "im_path": "/images_full/task_06146_incircle.png", "im_dots_path": "/images/task_06146_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6015804344, "choices": null, "image_choices": null}
+{"qid": 6147, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 0], [-4, -2], [9, -4]], "answer": 0.4326990667, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 0), B=(-4, -2), C=(9, -4). Find the incircle's radius.", "im_path": "/images_full/task_06147_incircle.png", "im_dots_path": "/images/task_06147_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4326990667, "choices": null, "image_choices": null}
+{"qid": 6148, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, 9], [10, -6], [-7, 1]], "answer": 3.1351768495, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 9), B=(10, -6), C=(-7, 1). Find the incircle's radius.", "im_path": "/images_full/task_06148_incircle.png", "im_dots_path": "/images/task_06148_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.1351768495, "choices": null, "image_choices": null}
+{"qid": 6149, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 1], [-8, 8], [10, 7]], "answer": 2.9524538523, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 1), B=(-8, 8), C=(10, 7). Find the incircle's radius.", "im_path": "/images_full/task_06149_incircle.png", "im_dots_path": "/images/task_06149_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9524538523, "choices": null, "image_choices": null}
+{"qid": 6150, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, -3], [2, -3], [-6, 2]], "answer": 1.9122083358, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -3), B=(2, -3), C=(-6, 2). Find the incircle's radius.", "im_path": "/images_full/task_06150_incircle.png", "im_dots_path": "/images/task_06150_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9122083358, "choices": null, "image_choices": null}
+{"qid": 6151, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, -7], [3, -6], [-1, -6]], "answer": 0.4663911961, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -7), B=(3, -6), C=(-1, -6). Find the incircle's radius.", "im_path": "/images_full/task_06151_incircle.png", "im_dots_path": "/images/task_06151_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4663911961, "choices": null, "image_choices": null}
+{"qid": 6152, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 5], [9, -5], [-7, 10]], "answer": 2.2960608829, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 5), B=(9, -5), C=(-7, 10). Find the incircle's radius.", "im_path": "/images_full/task_06152_incircle.png", "im_dots_path": "/images/task_06152_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.2960608829, "choices": null, "image_choices": null}
+{"qid": 6153, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 1], [-2, -9], [-1, -4]], "answer": 1.3077356039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 1), B=(-2, -9), C=(-1, -4). Find the incircle's radius.", "im_path": "/images_full/task_06153_incircle.png", "im_dots_path": "/images/task_06153_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.3077356039, "choices": null, "image_choices": null}
+{"qid": 6154, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 9], [8, -2], [-1, -8]], "answer": 3.7225977351, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 9), B=(8, -2), C=(-1, -8). Find the incircle's radius.", "im_path": "/images_full/task_06154_incircle.png", "im_dots_path": "/images/task_06154_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.7225977351, "choices": null, "image_choices": null}
+{"qid": 6155, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-1, 0], [4, 1], [-6, 5]], "answer": 1.3077356039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 0), B=(4, 1), C=(-6, 5). Find the incircle's radius.", "im_path": "/images_full/task_06155_incircle.png", "im_dots_path": "/images/task_06155_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.3077356039, "choices": null, "image_choices": null}
+{"qid": 6156, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, 6], [5, 2], [-9, -1]], "answer": 1.1199381688, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 6), B=(5, 2), C=(-9, -1). Find the incircle's radius.", "im_path": "/images_full/task_06156_incircle.png", "im_dots_path": "/images/task_06156_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1199381688, "choices": null, "image_choices": null}
+{"qid": 6157, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, 9], [-7, -2], [5, -3]], "answer": 3.0244259999, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 9), B=(-7, -2), C=(5, -3). Find the incircle's radius.", "im_path": "/images_full/task_06157_incircle.png", "im_dots_path": "/images/task_06157_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.0244259999, "choices": null, "image_choices": null}
+{"qid": 6158, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[7, -7], [8, 7], [-4, -1]], "answer": 3.9035969612, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -7), B=(8, 7), C=(-4, -1). Find the incircle's radius.", "im_path": "/images_full/task_06158_incircle.png", "im_dots_path": "/images/task_06158_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.9035969612, "choices": null, "image_choices": null}
+{"qid": 6159, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, -7], [-10, -5], [4, -3]], "answer": 1.7366316016, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -7), B=(-10, -5), C=(4, -3). Find the incircle's radius.", "im_path": "/images_full/task_06159_incircle.png", "im_dots_path": "/images/task_06159_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.7366316016, "choices": null, "image_choices": null}
+{"qid": 6160, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[7, -2], [-2, 2], [7, 0]], "answer": 0.8543599927, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -2), B=(-2, 2), C=(7, 0). Find the incircle's radius.", "im_path": "/images_full/task_06160_incircle.png", "im_dots_path": "/images/task_06160_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8543599927, "choices": null, "image_choices": null}
+{"qid": 6161, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, -1], [-9, -2], [5, -3]], "answer": 0.6347680779, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -1), B=(-9, -2), C=(5, -3). Find the incircle's radius.", "im_path": "/images_full/task_06161_incircle.png", "im_dots_path": "/images/task_06161_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6347680779, "choices": null, "image_choices": null}
+{"qid": 6162, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, -7], [-10, -9], [-4, 5]], "answer": 0.9613408208, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -7), B=(-10, -9), C=(-4, 5). Find the incircle's radius.", "im_path": "/images_full/task_06162_incircle.png", "im_dots_path": "/images/task_06162_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9613408208, "choices": null, "image_choices": null}
+{"qid": 6163, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[7, 5], [1, -4], [-1, 10]], "answer": 2.9657395515, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 5), B=(1, -4), C=(-1, 10). Find the incircle's radius.", "im_path": "/images_full/task_06163_incircle.png", "im_dots_path": "/images/task_06163_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9657395515, "choices": null, "image_choices": null}
+{"qid": 6164, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, 6], [-6, 6], [1, -6]], "answer": 3.7025186702, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 6), B=(-6, 6), C=(1, -6). Find the incircle's radius.", "im_path": "/images_full/task_06164_incircle.png", "im_dots_path": "/images/task_06164_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.7025186702, "choices": null, "image_choices": null}
+{"qid": 6165, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 8], [-10, 5], [0, -5]], "answer": 1.2078825843, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(-10, 5), C=(0, -5). Find the incircle's radius.", "im_path": "/images_full/task_06165_incircle.png", "im_dots_path": "/images/task_06165_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.2078825843, "choices": null, "image_choices": null}
+{"qid": 6166, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -8], [-5, -4], [-5, -10]], "answer": 2.2849198222, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -8), B=(-5, -4), C=(-5, -10). Find the incircle's radius.", "im_path": "/images_full/task_06166_incircle.png", "im_dots_path": "/images/task_06166_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.2849198222, "choices": null, "image_choices": null}
+{"qid": 6167, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -6], [4, 4], [-3, -3]], "answer": 0.6361917039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -6), B=(4, 4), C=(-3, -3). Find the incircle's radius.", "im_path": "/images_full/task_06167_incircle.png", "im_dots_path": "/images/task_06167_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6361917039, "choices": null, "image_choices": null}
+{"qid": 6168, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, 4], [-10, -6], [5, 3]], "answer": 0.9133647736, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 4), B=(-10, -6), C=(5, 3). Find the incircle's radius.", "im_path": "/images_full/task_06168_incircle.png", "im_dots_path": "/images/task_06168_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.9133647736, "choices": null, "image_choices": null}
+{"qid": 6169, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, -6], [2, 0], [-2, 2]], "answer": 0.2768708234, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -6), B=(2, 0), C=(-2, 2). Find the incircle's radius.", "im_path": "/images_full/task_06169_incircle.png", "im_dots_path": "/images/task_06169_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2768708234, "choices": null, "image_choices": null}
+{"qid": 6170, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -8], [-4, -10], [-8, -7]], "answer": 1.2432760786, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -8), B=(-4, -10), C=(-8, -7). Find the incircle's radius.", "im_path": "/images_full/task_06170_incircle.png", "im_dots_path": "/images/task_06170_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.2432760786, "choices": null, "image_choices": null}
+{"qid": 6171, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -4], [-9, -10], [3, 0]], "answer": 2.1009868515, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -4), B=(-9, -10), C=(3, 0). Find the incircle's radius.", "im_path": "/images_full/task_06171_incircle.png", "im_dots_path": "/images/task_06171_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.1009868515, "choices": null, "image_choices": null}
+{"qid": 6172, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 2], [5, 2], [-2, -5]], "answer": 2.0502525317, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 2), B=(5, 2), C=(-2, -5). Find the incircle's radius.", "im_path": "/images_full/task_06172_incircle.png", "im_dots_path": "/images/task_06172_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.0502525317, "choices": null, "image_choices": null}
+{"qid": 6173, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-10, -6], [1, 8], [2, -8]], "answer": 4.1303235856, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -6), B=(1, 8), C=(2, -8). Find the incircle's radius.", "im_path": "/images_full/task_06173_incircle.png", "im_dots_path": "/images/task_06173_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.1303235856, "choices": null, "image_choices": null}
+{"qid": 6174, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, -1], [-10, 9], [8, -10]], "answer": 2.9031101761, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -1), B=(-10, 9), C=(8, -10). Find the incircle's radius.", "im_path": "/images_full/task_06174_incircle.png", "im_dots_path": "/images/task_06174_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.9031101761, "choices": null, "image_choices": null}
+{"qid": 6175, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, -2], [1, 4], [0, 0]], "answer": 0.4392471202, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -2), B=(1, 4), C=(0, 0). Find the incircle's radius.", "im_path": "/images_full/task_06175_incircle.png", "im_dots_path": "/images/task_06175_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4392471202, "choices": null, "image_choices": null}
+{"qid": 6176, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-9, 8], [-6, 4], [3, 10]], "answer": 1.9297996849, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(-6, 4), C=(3, 10). Find the incircle's radius.", "im_path": "/images_full/task_06176_incircle.png", "im_dots_path": "/images/task_06176_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.9297996849, "choices": null, "image_choices": null}
+{"qid": 6177, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, 9], [4, 2], [4, -5]], "answer": 0.2490506132, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 9), B=(4, 2), C=(4, -5). Find the incircle's radius.", "im_path": "/images_full/task_06177_incircle.png", "im_dots_path": "/images/task_06177_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2490506132, "choices": null, "image_choices": null}
+{"qid": 6178, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[1, 10], [-10, -10], [-2, -6]], "answer": 2.4142264407, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 10), B=(-10, -10), C=(-2, -6). Find the incircle's radius.", "im_path": "/images_full/task_06178_incircle.png", "im_dots_path": "/images/task_06178_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.4142264407, "choices": null, "image_choices": null}
+{"qid": 6179, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-4, 6], [-8, 4], [-7, 0]], "answer": 1.1762057103, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 6), B=(-8, 4), C=(-7, 0). Find the incircle's radius.", "im_path": "/images_full/task_06179_incircle.png", "im_dots_path": "/images/task_06179_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1762057103, "choices": null, "image_choices": null}
+{"qid": 6180, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[4, 7], [2, 5], [8, -10]], "answer": 1.1523212042, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 7), B=(2, 5), C=(8, -10). Find the incircle's radius.", "im_path": "/images_full/task_06180_incircle.png", "im_dots_path": "/images/task_06180_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.1523212042, "choices": null, "image_choices": null}
+{"qid": 6181, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 5], [1, -1], [-7, 9]], "answer": 0.8413356284, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(1, -1), C=(-7, 9). Find the incircle's radius.", "im_path": "/images_full/task_06181_incircle.png", "im_dots_path": "/images/task_06181_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8413356284, "choices": null, "image_choices": null}
+{"qid": 6182, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[10, 1], [-5, -2], [10, 0]], "answer": 0.4772540028, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 1), B=(-5, -2), C=(10, 0). Find the incircle's radius.", "im_path": "/images_full/task_06182_incircle.png", "im_dots_path": "/images/task_06182_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.4772540028, "choices": null, "image_choices": null}
+{"qid": 6183, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, -2], [6, 7], [-2, 1]], "answer": 0.6952437677, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -2), B=(6, 7), C=(-2, 1). Find the incircle's radius.", "im_path": "/images_full/task_06183_incircle.png", "im_dots_path": "/images/task_06183_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.6952437677, "choices": null, "image_choices": null}
+{"qid": 6184, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, -10], [7, -9], [-9, -3]], "answer": 0.8005363294, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -10), B=(7, -9), C=(-9, -3). Find the incircle's radius.", "im_path": "/images_full/task_06184_incircle.png", "im_dots_path": "/images/task_06184_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8005363294, "choices": null, "image_choices": null}
+{"qid": 6185, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[1, 0], [-10, -4], [-1, 8]], "answer": 2.7467095079, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 0), B=(-10, -4), C=(-1, 8). Find the incircle's radius.", "im_path": "/images_full/task_06185_incircle.png", "im_dots_path": "/images/task_06185_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.7467095079, "choices": null, "image_choices": null}
+{"qid": 6186, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[0, -8], [-2, -6], [0, -4]], "answer": 0.8284271247, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -8), B=(-2, -6), C=(0, -4). Find the incircle's radius.", "im_path": "/images_full/task_06186_incircle.png", "im_dots_path": "/images/task_06186_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.8284271247, "choices": null, "image_choices": null}
+{"qid": 6187, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[3, -5], [5, 2], [1, 3]], "answer": 1.5267620963, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -5), B=(5, 2), C=(1, 3). Find the incircle's radius.", "im_path": "/images_full/task_06187_incircle.png", "im_dots_path": "/images/task_06187_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5267620963, "choices": null, "image_choices": null}
+{"qid": 6188, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 10], [-7, -9], [-7, 6]], "answer": 0.3931909476, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 10), B=(-7, -9), C=(-7, 6). Find the incircle's radius.", "im_path": "/images_full/task_06188_incircle.png", "im_dots_path": "/images/task_06188_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.3931909476, "choices": null, "image_choices": null}
+{"qid": 6189, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-6, 5], [5, 10], [1, -9]], "answer": 4.0083127184, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 5), B=(5, 10), C=(1, -9). Find the incircle's radius.", "im_path": "/images_full/task_06189_incircle.png", "im_dots_path": "/images/task_06189_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.0083127184, "choices": null, "image_choices": null}
+{"qid": 6190, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-2, 7], [-4, -4], [3, -6]], "answer": 2.5008615581, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 7), B=(-4, -4), C=(3, -6). Find the incircle's radius.", "im_path": "/images_full/task_06190_incircle.png", "im_dots_path": "/images/task_06190_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.5008615581, "choices": null, "image_choices": null}
+{"qid": 6191, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[2, 5], [5, 4], [-9, 1]], "answer": 0.7880815039, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(5, 4), C=(-9, 1). Find the incircle's radius.", "im_path": "/images_full/task_06191_incircle.png", "im_dots_path": "/images/task_06191_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.7880815039, "choices": null, "image_choices": null}
+{"qid": 6192, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 9], [0, 3], [6, -6]], "answer": 0.676935502, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 9), B=(0, 3), C=(6, -6). Find the incircle's radius.", "im_path": "/images_full/task_06192_incircle.png", "im_dots_path": "/images/task_06192_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.676935502, "choices": null, "image_choices": null}
+{"qid": 6193, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[5, 7], [10, -6], [0, 6]], "answer": 2.0203240476, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 7), B=(10, -6), C=(0, 6). Find the incircle's radius.", "im_path": "/images_full/task_06193_incircle.png", "im_dots_path": "/images/task_06193_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.0203240476, "choices": null, "image_choices": null}
+{"qid": 6194, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[9, 3], [1, -6], [-3, 7]], "answer": 3.6560993816, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 3), B=(1, -6), C=(-3, 7). Find the incircle's radius.", "im_path": "/images_full/task_06194_incircle.png", "im_dots_path": "/images/task_06194_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 3.6560993816, "choices": null, "image_choices": null}
+{"qid": 6195, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, 5], [2, -10], [9, 3]], "answer": 1.5636732606, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 5), B=(2, -10), C=(9, 3). Find the incircle's radius.", "im_path": "/images_full/task_06195_incircle.png", "im_dots_path": "/images/task_06195_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 1.5636732606, "choices": null, "image_choices": null}
+{"qid": 6196, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-7, 9], [6, 4], [-4, 2]], "answer": 2.3942889597, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 9), B=(6, 4), C=(-4, 2). Find the incircle's radius.", "im_path": "/images_full/task_06196_incircle.png", "im_dots_path": "/images/task_06196_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 2.3942889597, "choices": null, "image_choices": null}
+{"qid": 6197, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-5, 10], [8, 2], [9, 2]], "answer": 0.2469985583, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 10), B=(8, 2), C=(9, 2). Find the incircle's radius.", "im_path": "/images_full/task_06197_incircle.png", "im_dots_path": "/images/task_06197_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.2469985583, "choices": null, "image_choices": null}
+{"qid": 6198, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[-3, 8], [2, -3], [-2, 4]], "answer": 0.3708524886, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 8), B=(2, -3), C=(-2, 4). Find the incircle's radius.", "im_path": "/images_full/task_06198_incircle.png", "im_dots_path": "/images/task_06198_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 0.3708524886, "choices": null, "image_choices": null}
+{"qid": 6199, "type": "numeric", "category_id": 61, "category": "Simple circle properties", "difficulty": 2, "schema_type": "number", "points": [[6, -7], [-2, 10], [-8, -3]], "answer": 4.321708386, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -7), B=(-2, 10), C=(-8, -3). Find the incircle's radius.", "im_path": "/images_full/task_06199_incircle.png", "im_dots_path": "/images/task_06199_incircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the incircle's radius?", "image_answer": 4.321708386, "choices": null, "image_choices": null}

circle_properties/outer_circle/outer_circle_center_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 6200, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 2], [-6, -5], [-6, -9]], "answer": {"point": [3.4615384615384617, -7.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 2), B=(-6, -5), C=(-6, -9). Find the circumcenter.", "im_path": "/images_full/task_06200_circumcircle.png", "im_dots_path": "/images/task_06200_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.4615384615384617, -7.0]}, "choices": null, "image_choices": null}
+{"qid": 6201, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -3], [-8, 6], [0, -1]], "answer": {"point": [-4.283783783783784, 2.175675675675676]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -3), B=(-8, 6), C=(0, -1). Find the circumcenter.", "im_path": "/images_full/task_06201_circumcircle.png", "im_dots_path": "/images/task_06201_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.283783783783784, 2.175675675675676]}, "choices": null, "image_choices": null}
+{"qid": 6202, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 2], [-10, 7], [-1, -9]], "answer": {"point": [11.879310344827585, 8.775862068965518]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 2), B=(-10, 7), C=(-1, -9). Find the circumcenter.", "im_path": "/images_full/task_06202_circumcircle.png", "im_dots_path": "/images/task_06202_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [11.879310344827585, 8.775862068965518]}, "choices": null, "image_choices": null}
+{"qid": 6203, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 6], [-3, -6], [3, -4]], "answer": {"point": [-1.7894736842105263, 0.3684210526315789]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 6), B=(-3, -6), C=(3, -4). Find the circumcenter.", "im_path": "/images_full/task_06203_circumcircle.png", "im_dots_path": "/images/task_06203_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.7894736842105263, 0.3684210526315789]}, "choices": null, "image_choices": null}
+{"qid": 6204, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 4], [-9, 4], [1, 8]], "answer": {"point": [-4.0, 6.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 4), B=(-9, 4), C=(1, 8). Find the circumcenter.", "im_path": "/images_full/task_06204_circumcircle.png", "im_dots_path": "/images/task_06204_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.0, 6.0]}, "choices": null, "image_choices": null}
+{"qid": 6205, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 8], [5, 10], [2, -2]], "answer": {"point": [3.6818181818181817, 3.9545454545454546]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 8), B=(5, 10), C=(2, -2). Find the circumcenter.", "im_path": "/images_full/task_06205_circumcircle.png", "im_dots_path": "/images/task_06205_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.6818181818181817, 3.9545454545454546]}, "choices": null, "image_choices": null}
+{"qid": 6206, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 6], [1, 10], [4, 6]], "answer": {"point": [2.5, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 6), B=(1, 10), C=(4, 6). Find the circumcenter.", "im_path": "/images_full/task_06206_circumcircle.png", "im_dots_path": "/images/task_06206_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.5, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 6207, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -4], [-5, 9], [-9, -1]], "answer": {"point": [-3.141304347826087, 2.4565217391304346]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -4), B=(-5, 9), C=(-9, -1). Find the circumcenter.", "im_path": "/images_full/task_06207_circumcircle.png", "im_dots_path": "/images/task_06207_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-3.141304347826087, 2.4565217391304346]}, "choices": null, "image_choices": null}
+{"qid": 6208, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -8], [3, 1], [7, -4]], "answer": {"point": [1.680327868852459, -4.155737704918033]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -8), B=(3, 1), C=(7, -4). Find the circumcenter.", "im_path": "/images_full/task_06208_circumcircle.png", "im_dots_path": "/images/task_06208_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.680327868852459, -4.155737704918033]}, "choices": null, "image_choices": null}
+{"qid": 6209, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 9], [-4, 6], [-9, 3]], "answer": {"point": [10.3, -23.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 9), B=(-4, 6), C=(-9, 3). Find the circumcenter.", "im_path": "/images_full/task_06209_circumcircle.png", "im_dots_path": "/images/task_06209_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [10.3, -23.5]}, "choices": null, "image_choices": null}
+{"qid": 6210, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -1], [4, 0], [0, -10]], "answer": {"point": [5.984375, -6.59375]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -1), B=(4, 0), C=(0, -10). Find the circumcenter.", "im_path": "/images_full/task_06210_circumcircle.png", "im_dots_path": "/images/task_06210_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [5.984375, -6.59375]}, "choices": null, "image_choices": null}
+{"qid": 6211, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -3], [-1, 6], [10, 1]], "answer": {"point": [4.282608695652174, 3.0217391304347827]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -3), B=(-1, 6), C=(10, 1). Find the circumcenter.", "im_path": "/images_full/task_06211_circumcircle.png", "im_dots_path": "/images/task_06211_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [4.282608695652174, 3.0217391304347827]}, "choices": null, "image_choices": null}
+{"qid": 6212, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -3], [-4, 5], [0, 2]], "answer": {"point": [-10.318181818181818, -7.590909090909091]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -3), B=(-4, 5), C=(0, 2). Find the circumcenter.", "im_path": "/images_full/task_06212_circumcircle.png", "im_dots_path": "/images/task_06212_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-10.318181818181818, -7.590909090909091]}, "choices": null, "image_choices": null}
+{"qid": 6213, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -5], [-3, 9], [-5, 10]], "answer": {"point": [-8.875, -0.25]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -5), B=(-3, 9), C=(-5, 10). Find the circumcenter.", "im_path": "/images_full/task_06213_circumcircle.png", "im_dots_path": "/images/task_06213_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-8.875, -0.25]}, "choices": null, "image_choices": null}
+{"qid": 6214, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -4], [7, -10], [-3, 4]], "answer": {"point": [10.615384615384615, 3.1538461538461537]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -4), B=(7, -10), C=(-3, 4). Find the circumcenter.", "im_path": "/images_full/task_06214_circumcircle.png", "im_dots_path": "/images/task_06214_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [10.615384615384615, 3.1538461538461537]}, "choices": null, "image_choices": null}
+{"qid": 6215, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 2], [-7, -1], [9, 9]], "answer": {"point": [17.666666666666668, -22.666666666666668]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 2), B=(-7, -1), C=(9, 9). Find the circumcenter.", "im_path": "/images_full/task_06215_circumcircle.png", "im_dots_path": "/images/task_06215_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [17.666666666666668, -22.666666666666668]}, "choices": null, "image_choices": null}
+{"qid": 6216, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -2], [-3, 7], [-8, -2]], "answer": {"point": [-7.0, 3.3333333333333335]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -2), B=(-3, 7), C=(-8, -2). Find the circumcenter.", "im_path": "/images_full/task_06216_circumcircle.png", "im_dots_path": "/images/task_06216_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-7.0, 3.3333333333333335]}, "choices": null, "image_choices": null}
+{"qid": 6217, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 1], [-8, -3], [-10, -1]], "answer": {"point": [-8.0, -1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 1), B=(-8, -3), C=(-10, -1). Find the circumcenter.", "im_path": "/images_full/task_06217_circumcircle.png", "im_dots_path": "/images/task_06217_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-8.0, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6218, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 1], [4, -6], [7, 0]], "answer": {"point": [1.8333333333333333, -1.1666666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 1), B=(4, -6), C=(7, 0). Find the circumcenter.", "im_path": "/images_full/task_06218_circumcircle.png", "im_dots_path": "/images/task_06218_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.8333333333333333, -1.1666666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6219, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 6], [-9, -1], [-7, 7]], "answer": {"point": [-7.777777777777778, 2.9444444444444446]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 6), B=(-9, -1), C=(-7, 7). Find the circumcenter.", "im_path": "/images_full/task_06219_circumcircle.png", "im_dots_path": "/images/task_06219_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-7.777777777777778, 2.9444444444444446]}, "choices": null, "image_choices": null}
+{"qid": 6220, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 6], [-5, 6], [9, 10]], "answer": {"point": [-0.5, 16.75]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 6), B=(-5, 6), C=(9, 10). Find the circumcenter.", "im_path": "/images_full/task_06220_circumcircle.png", "im_dots_path": "/images/task_06220_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.5, 16.75]}, "choices": null, "image_choices": null}
+{"qid": 6221, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 6], [8, -10], [9, -2]], "answer": {"point": [-1.6428571428571428, -4.732142857142857]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 6), B=(8, -10), C=(9, -2). Find the circumcenter.", "im_path": "/images_full/task_06221_circumcircle.png", "im_dots_path": "/images/task_06221_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.6428571428571428, -4.732142857142857]}, "choices": null, "image_choices": null}
+{"qid": 6222, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, -10], [9, -8], [-6, 8]], "answer": {"point": [1.5, 0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -10), B=(9, -8), C=(-6, 8). Find the circumcenter.", "im_path": "/images_full/task_06222_circumcircle.png", "im_dots_path": "/images/task_06222_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.5, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 6223, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 8], [4, -3], [-2, -7]], "answer": {"point": [-2.6595744680851063, 0.48936170212765956]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 8), B=(4, -3), C=(-2, -7). Find the circumcenter.", "im_path": "/images_full/task_06223_circumcircle.png", "im_dots_path": "/images/task_06223_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-2.6595744680851063, 0.48936170212765956]}, "choices": null, "image_choices": null}
+{"qid": 6224, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 4], [9, 3], [1, -8]], "answer": {"point": [-0.1262135922330097, 1.2281553398058251]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 4), B=(9, 3), C=(1, -8). Find the circumcenter.", "im_path": "/images_full/task_06224_circumcircle.png", "im_dots_path": "/images/task_06224_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.1262135922330097, 1.2281553398058251]}, "choices": null, "image_choices": null}
+{"qid": 6225, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -9], [6, 1], [-5, 3]], "answer": {"point": [-0.2796610169491525, -2.288135593220339]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -9), B=(6, 1), C=(-5, 3). Find the circumcenter.", "im_path": "/images_full/task_06225_circumcircle.png", "im_dots_path": "/images/task_06225_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.2796610169491525, -2.288135593220339]}, "choices": null, "image_choices": null}
+{"qid": 6226, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 8], [7, 7], [7, 8]], "answer": {"point": [6.0, 7.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 8), B=(7, 7), C=(7, 8). Find the circumcenter.", "im_path": "/images_full/task_06226_circumcircle.png", "im_dots_path": "/images/task_06226_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [6.0, 7.5]}, "choices": null, "image_choices": null}
+{"qid": 6227, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, -2], [0, -10], [-6, 8]], "answer": {"point": [30.0, 10.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -2), B=(0, -10), C=(-6, 8). Find the circumcenter.", "im_path": "/images_full/task_06227_circumcircle.png", "im_dots_path": "/images/task_06227_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [30.0, 10.0]}, "choices": null, "image_choices": null}
+{"qid": 6228, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -1], [8, -3], [-6, -9]], "answer": {"point": [2.3846153846153846, -9.23076923076923]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -1), B=(8, -3), C=(-6, -9). Find the circumcenter.", "im_path": "/images_full/task_06228_circumcircle.png", "im_dots_path": "/images/task_06228_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.3846153846153846, -9.23076923076923]}, "choices": null, "image_choices": null}
+{"qid": 6229, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 0], [3, 4], [-7, -1]], "answer": {"point": [4.5, -11.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 0), B=(3, 4), C=(-7, -1). Find the circumcenter.", "im_path": "/images_full/task_06229_circumcircle.png", "im_dots_path": "/images/task_06229_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [4.5, -11.5]}, "choices": null, "image_choices": null}
+{"qid": 6230, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -2], [-10, 7], [-2, 8]], "answer": {"point": [-5.088235294117647, 0.20588235294117646]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -2), B=(-10, 7), C=(-2, 8). Find the circumcenter.", "im_path": "/images_full/task_06230_circumcircle.png", "im_dots_path": "/images/task_06230_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.088235294117647, 0.20588235294117646]}, "choices": null, "image_choices": null}
+{"qid": 6231, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -3], [1, 3], [-6, 1]], "answer": {"point": [0.3, -7.8]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -3), B=(1, 3), C=(-6, 1). Find the circumcenter.", "im_path": "/images_full/task_06231_circumcircle.png", "im_dots_path": "/images/task_06231_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.3, -7.8]}, "choices": null, "image_choices": null}
+{"qid": 6232, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 6], [6, 7], [-2, 0]], "answer": {"point": [3.8529411764705883, 1.3823529411764706]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 6), B=(6, 7), C=(-2, 0). Find the circumcenter.", "im_path": "/images_full/task_06232_circumcircle.png", "im_dots_path": "/images/task_06232_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.8529411764705883, 1.3823529411764706]}, "choices": null, "image_choices": null}
+{"qid": 6233, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 4], [-10, 2], [-2, 2]], "answer": {"point": [-6.0, 5.25]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 4), B=(-10, 2), C=(-2, 2). Find the circumcenter.", "im_path": "/images_full/task_06233_circumcircle.png", "im_dots_path": "/images/task_06233_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-6.0, 5.25]}, "choices": null, "image_choices": null}
+{"qid": 6234, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -7], [4, 6], [-5, 6]], "answer": {"point": [-0.5, -1.8846153846153846]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -7), B=(4, 6), C=(-5, 6). Find the circumcenter.", "im_path": "/images_full/task_06234_circumcircle.png", "im_dots_path": "/images/task_06234_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.5, -1.8846153846153846]}, "choices": null, "image_choices": null}
+{"qid": 6235, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 3], [9, -8], [3, -6]], "answer": {"point": [7.678571428571429, -1.9642857142857142]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 3), B=(9, -8), C=(3, -6). Find the circumcenter.", "im_path": "/images_full/task_06235_circumcircle.png", "im_dots_path": "/images/task_06235_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [7.678571428571429, -1.9642857142857142]}, "choices": null, "image_choices": null}
+{"qid": 6236, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -6], [0, 6], [-10, -3]], "answer": {"point": [-0.78125, -3.1875]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -6), B=(0, 6), C=(-10, -3). Find the circumcenter.", "im_path": "/images_full/task_06236_circumcircle.png", "im_dots_path": "/images/task_06236_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.78125, -3.1875]}, "choices": null, "image_choices": null}
+{"qid": 6237, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 9], [8, -7], [-6, 9]], "answer": {"point": [0.5, 0.5625]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 9), B=(8, -7), C=(-6, 9). Find the circumcenter.", "im_path": "/images_full/task_06237_circumcircle.png", "im_dots_path": "/images/task_06237_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.5, 0.5625]}, "choices": null, "image_choices": null}
+{"qid": 6238, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 5], [-8, -7], [-4, 4]], "answer": {"point": [0.3870967741935484, -3.8225806451612905]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 5), B=(-8, -7), C=(-4, 4). Find the circumcenter.", "im_path": "/images_full/task_06238_circumcircle.png", "im_dots_path": "/images/task_06238_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.3870967741935484, -3.8225806451612905]}, "choices": null, "image_choices": null}
+{"qid": 6239, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 4], [4, 4], [-8, 6]], "answer": {"point": [-1.0, 11.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 4), B=(4, 4), C=(-8, 6). Find the circumcenter.", "im_path": "/images_full/task_06239_circumcircle.png", "im_dots_path": "/images/task_06239_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.0, 11.0]}, "choices": null, "image_choices": null}
+{"qid": 6240, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 7], [4, 1], [3, -3]], "answer": {"point": [-5.357142857142857, 1.2142857142857142]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 7), B=(4, 1), C=(3, -3). Find the circumcenter.", "im_path": "/images_full/task_06240_circumcircle.png", "im_dots_path": "/images/task_06240_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.357142857142857, 1.2142857142857142]}, "choices": null, "image_choices": null}
+{"qid": 6241, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -6], [-1, 4], [4, 6]], "answer": {"point": [3.5, -0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -6), B=(-1, 4), C=(4, 6). Find the circumcenter.", "im_path": "/images_full/task_06241_circumcircle.png", "im_dots_path": "/images/task_06241_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.5, -0.0]}, "choices": null, "image_choices": null}
+{"qid": 6242, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -2], [9, -6], [2, 4]], "answer": {"point": [3.3947368421052633, -2.473684210526316]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -2), B=(9, -6), C=(2, 4). Find the circumcenter.", "im_path": "/images_full/task_06242_circumcircle.png", "im_dots_path": "/images/task_06242_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.3947368421052633, -2.473684210526316]}, "choices": null, "image_choices": null}
+{"qid": 6243, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 3], [4, -3], [5, -4]], "answer": {"point": [-14.5, -22.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 3), B=(4, -3), C=(5, -4). Find the circumcenter.", "im_path": "/images_full/task_06243_circumcircle.png", "im_dots_path": "/images/task_06243_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-14.5, -22.5]}, "choices": null, "image_choices": null}
+{"qid": 6244, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 6], [-9, 0], [3, 4]], "answer": {"point": [69.5, -215.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 6), B=(-9, 0), C=(3, 4). Find the circumcenter.", "im_path": "/images_full/task_06244_circumcircle.png", "im_dots_path": "/images/task_06244_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [69.5, -215.5]}, "choices": null, "image_choices": null}
+{"qid": 6245, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -1], [8, -7], [7, 10]], "answer": {"point": [-5.25, 0.75]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -1), B=(8, -7), C=(7, 10). Find the circumcenter.", "im_path": "/images_full/task_06245_circumcircle.png", "im_dots_path": "/images/task_06245_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.25, 0.75]}, "choices": null, "image_choices": null}
+{"qid": 6246, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 4], [3, 6], [-7, -2]], "answer": {"point": [3.6315789473684212, -5.0394736842105265]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 4), B=(3, 6), C=(-7, -2). Find the circumcenter.", "im_path": "/images_full/task_06246_circumcircle.png", "im_dots_path": "/images/task_06246_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.6315789473684212, -5.0394736842105265]}, "choices": null, "image_choices": null}
+{"qid": 6247, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, 4], [-7, -10], [-10, 3]], "answer": {"point": [-3.058139534883721, -2.244186046511628]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 4), B=(-7, -10), C=(-10, 3). Find the circumcenter.", "im_path": "/images_full/task_06247_circumcircle.png", "im_dots_path": "/images/task_06247_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-3.058139534883721, -2.244186046511628]}, "choices": null, "image_choices": null}
+{"qid": 6248, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 3], [10, 6], [-1, 0]], "answer": {"point": [2.388888888888889, 6.87037037037037]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 3), B=(10, 6), C=(-1, 0). Find the circumcenter.", "im_path": "/images_full/task_06248_circumcircle.png", "im_dots_path": "/images/task_06248_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.388888888888889, 6.87037037037037]}, "choices": null, "image_choices": null}
+{"qid": 6249, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -8], [7, 7], [-7, 4]], "answer": {"point": [1.1666666666666667, 0.05555555555555555]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -8), B=(7, 7), C=(-7, 4). Find the circumcenter.", "im_path": "/images_full/task_06249_circumcircle.png", "im_dots_path": "/images/task_06249_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.1666666666666667, 0.05555555555555555]}, "choices": null, "image_choices": null}
+{"qid": 6250, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 4], [5, -8], [-9, -1]], "answer": {"point": [-1.605263157894737, -3.710526315789474]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 4), B=(5, -8), C=(-9, -1). Find the circumcenter.", "im_path": "/images_full/task_06250_circumcircle.png", "im_dots_path": "/images/task_06250_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.605263157894737, -3.710526315789474]}, "choices": null, "image_choices": null}
+{"qid": 6251, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -7], [-9, -8], [4, -5]], "answer": {"point": [-10.75, 29.25]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -7), B=(-9, -8), C=(4, -5). Find the circumcenter.", "im_path": "/images_full/task_06251_circumcircle.png", "im_dots_path": "/images/task_06251_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-10.75, 29.25]}, "choices": null, "image_choices": null}
+{"qid": 6252, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 6], [-1, 9], [-2, 4]], "answer": {"point": [1.7894736842105263, 5.842105263157895]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 6), B=(-1, 9), C=(-2, 4). Find the circumcenter.", "im_path": "/images_full/task_06252_circumcircle.png", "im_dots_path": "/images/task_06252_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.7894736842105263, 5.842105263157895]}, "choices": null, "image_choices": null}
+{"qid": 6253, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, -8], [-4, 2], [-6, 2]], "answer": {"point": [-5.0, -3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, -8), B=(-4, 2), C=(-6, 2). Find the circumcenter.", "im_path": "/images_full/task_06253_circumcircle.png", "im_dots_path": "/images/task_06253_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.0, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 6254, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -8], [-7, 3], [8, -7]], "answer": {"point": [0.16666666666666666, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -8), B=(-7, 3), C=(8, -7). Find the circumcenter.", "im_path": "/images_full/task_06254_circumcircle.png", "im_dots_path": "/images/task_06254_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.16666666666666666, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 6255, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -6], [9, 8], [-6, -10]], "answer": {"point": [-10.5, 9.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -6), B=(9, 8), C=(-6, -10). Find the circumcenter.", "im_path": "/images_full/task_06255_circumcircle.png", "im_dots_path": "/images/task_06255_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-10.5, 9.0]}, "choices": null, "image_choices": null}
+{"qid": 6256, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, -4], [-4, 6], [-6, -6]], "answer": {"point": [-4.647058823529412, -0.058823529411764705]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -4), B=(-4, 6), C=(-6, -6). Find the circumcenter.", "im_path": "/images_full/task_06256_circumcircle.png", "im_dots_path": "/images/task_06256_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.647058823529412, -0.058823529411764705]}, "choices": null, "image_choices": null}
+{"qid": 6257, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -9], [3, 5], [-2, -6]], "answer": {"point": [3.759259259259259, -1.9814814814814814]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -9), B=(3, 5), C=(-2, -6). Find the circumcenter.", "im_path": "/images_full/task_06257_circumcircle.png", "im_dots_path": "/images/task_06257_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.759259259259259, -1.9814814814814814]}, "choices": null, "image_choices": null}
+{"qid": 6258, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 5], [-10, 0], [-7, -2]], "answer": {"point": [-3.7222222222222223, 6.166666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 5), B=(-10, 0), C=(-7, -2). Find the circumcenter.", "im_path": "/images_full/task_06258_circumcircle.png", "im_dots_path": "/images/task_06258_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-3.7222222222222223, 6.166666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6259, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 6], [1, -7], [5, -2]], "answer": {"point": [-7.092592592592593, 3.574074074074074]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 6), B=(1, -7), C=(5, -2). Find the circumcenter.", "im_path": "/images_full/task_06259_circumcircle.png", "im_dots_path": "/images/task_06259_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-7.092592592592593, 3.574074074074074]}, "choices": null, "image_choices": null}
+{"qid": 6260, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 10], [5, -9], [6, 3]], "answer": {"point": [-5.195652173913044, -2.108695652173913]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 10), B=(5, -9), C=(6, 3). Find the circumcenter.", "im_path": "/images_full/task_06260_circumcircle.png", "im_dots_path": "/images/task_06260_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.195652173913044, -2.108695652173913]}, "choices": null, "image_choices": null}
+{"qid": 6261, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 0], [-3, -8], [-5, 5]], "answer": {"point": [1.7777777777777777, -0.6111111111111112]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 0), B=(-3, -8), C=(-5, 5). Find the circumcenter.", "im_path": "/images_full/task_06261_circumcircle.png", "im_dots_path": "/images/task_06261_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.7777777777777777, -0.6111111111111112]}, "choices": null, "image_choices": null}
+{"qid": 6262, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 5], [5, 5], [5, 6]], "answer": {"point": [-1.0, 5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 5), B=(5, 5), C=(5, 6). Find the circumcenter.", "im_path": "/images_full/task_06262_circumcircle.png", "im_dots_path": "/images/task_06262_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.0, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 6263, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -7], [8, -4], [-4, 1]], "answer": {"point": [2.357142857142857, -0.6428571428571429]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -7), B=(8, -4), C=(-4, 1). Find the circumcenter.", "im_path": "/images_full/task_06263_circumcircle.png", "im_dots_path": "/images/task_06263_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.357142857142857, -0.6428571428571429]}, "choices": null, "image_choices": null}
+{"qid": 6264, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 3], [1, -8], [-6, 7]], "answer": {"point": [-1.7105263157894737, -0.13157894736842105]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 3), B=(1, -8), C=(-6, 7). Find the circumcenter.", "im_path": "/images_full/task_06264_circumcircle.png", "im_dots_path": "/images/task_06264_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.7105263157894737, -0.13157894736842105]}, "choices": null, "image_choices": null}
+{"qid": 6265, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -9], [-3, 4], [4, -10]], "answer": {"point": [2.227272727272727, -2.1363636363636362]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -9), B=(-3, 4), C=(4, -10). Find the circumcenter.", "im_path": "/images_full/task_06265_circumcircle.png", "im_dots_path": "/images/task_06265_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.227272727272727, -2.1363636363636362]}, "choices": null, "image_choices": null}
+{"qid": 6266, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 9], [-5, 8], [-9, -7]], "answer": {"point": [-0.09405940594059406, -1.3415841584158417]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 9), B=(-5, 8), C=(-9, -7). Find the circumcenter.", "im_path": "/images_full/task_06266_circumcircle.png", "im_dots_path": "/images/task_06266_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.09405940594059406, -1.3415841584158417]}, "choices": null, "image_choices": null}
+{"qid": 6267, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 7], [-8, -2], [7, -1]], "answer": {"point": [-0.5846153846153846, -0.23076923076923078]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 7), B=(-8, -2), C=(7, -1). Find the circumcenter.", "im_path": "/images_full/task_06267_circumcircle.png", "im_dots_path": "/images/task_06267_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.5846153846153846, -0.23076923076923078]}, "choices": null, "image_choices": null}
+{"qid": 6268, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 8], [3, 5], [7, -4]], "answer": {"point": [-4.9, -3.9]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 8), B=(3, 5), C=(7, -4). Find the circumcenter.", "im_path": "/images_full/task_06268_circumcircle.png", "im_dots_path": "/images/task_06268_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.9, -3.9]}, "choices": null, "image_choices": null}
+{"qid": 6269, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, -3], [10, 6], [1, -4]], "answer": {"point": [1.9634146341463414, 4.182926829268292]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -3), B=(10, 6), C=(1, -4). Find the circumcenter.", "im_path": "/images_full/task_06269_circumcircle.png", "im_dots_path": "/images/task_06269_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.9634146341463414, 4.182926829268292]}, "choices": null, "image_choices": null}
+{"qid": 6270, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -10], [1, 0], [-8, 3]], "answer": {"point": [-5.353658536585366, -4.060975609756097]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -10), B=(1, 0), C=(-8, 3). Find the circumcenter.", "im_path": "/images_full/task_06270_circumcircle.png", "im_dots_path": "/images/task_06270_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.353658536585366, -4.060975609756097]}, "choices": null, "image_choices": null}
+{"qid": 6271, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 0], [-3, 8], [-4, 4]], "answer": {"point": [0.8333333333333334, 4.916666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 0), B=(-3, 8), C=(-4, 4). Find the circumcenter.", "im_path": "/images_full/task_06271_circumcircle.png", "im_dots_path": "/images/task_06271_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.8333333333333334, 4.916666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6272, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 1], [6, 1], [-10, -5]], "answer": {"point": [3.5, -16.666666666666668]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 1), B=(6, 1), C=(-10, -5). Find the circumcenter.", "im_path": "/images_full/task_06272_circumcircle.png", "im_dots_path": "/images/task_06272_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.5, -16.666666666666668]}, "choices": null, "image_choices": null}
+{"qid": 6273, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 9], [10, -3], [-8, -3]], "answer": {"point": [1.0, 3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 9), B=(10, -3), C=(-8, -3). Find the circumcenter.", "im_path": "/images_full/task_06273_circumcircle.png", "im_dots_path": "/images/task_06273_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.0, 3.0]}, "choices": null, "image_choices": null}
+{"qid": 6274, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -10], [-6, 5], [5, 3]], "answer": {"point": [-2.0899280575539567, -4.744604316546763]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -10), B=(-6, 5), C=(5, 3). Find the circumcenter.", "im_path": "/images_full/task_06274_circumcircle.png", "im_dots_path": "/images/task_06274_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-2.0899280575539567, -4.744604316546763]}, "choices": null, "image_choices": null}
+{"qid": 6275, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 2], [-2, 10], [2, -4]], "answer": {"point": [-1.5615384615384615, 2.5538461538461537]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 2), B=(-2, 10), C=(2, -4). Find the circumcenter.", "im_path": "/images_full/task_06275_circumcircle.png", "im_dots_path": "/images/task_06275_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-1.5615384615384615, 2.5538461538461537]}, "choices": null, "image_choices": null}
+{"qid": 6276, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 7], [-8, -6], [2, 9]], "answer": {"point": [0.868421052631579, -1.0789473684210527]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 7), B=(-8, -6), C=(2, 9). Find the circumcenter.", "im_path": "/images_full/task_06276_circumcircle.png", "im_dots_path": "/images/task_06276_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.868421052631579, -1.0789473684210527]}, "choices": null, "image_choices": null}
+{"qid": 6277, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 6], [-5, 10], [-7, 3]], "answer": {"point": [-5.637931034482759, 6.396551724137931]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 6), B=(-5, 10), C=(-7, 3). Find the circumcenter.", "im_path": "/images_full/task_06277_circumcircle.png", "im_dots_path": "/images/task_06277_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.637931034482759, 6.396551724137931]}, "choices": null, "image_choices": null}
+{"qid": 6278, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 6], [-4, 10], [-5, 5]], "answer": {"point": [-2.8333333333333335, 7.166666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 6), B=(-4, 10), C=(-5, 5). Find the circumcenter.", "im_path": "/images_full/task_06278_circumcircle.png", "im_dots_path": "/images/task_06278_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-2.8333333333333335, 7.166666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6279, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 1], [5, 10], [-1, 7]], "answer": {"point": [33.5, -54.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 1), B=(5, 10), C=(-1, 7). Find the circumcenter.", "im_path": "/images_full/task_06279_circumcircle.png", "im_dots_path": "/images/task_06279_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [33.5, -54.5]}, "choices": null, "image_choices": null}
+{"qid": 6280, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -5], [-8, 4], [3, 3]], "answer": {"point": [-2.848314606741573, -0.33146067415730335]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -5), B=(-8, 4), C=(3, 3). Find the circumcenter.", "im_path": "/images_full/task_06280_circumcircle.png", "im_dots_path": "/images/task_06280_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-2.848314606741573, -0.33146067415730335]}, "choices": null, "image_choices": null}
+{"qid": 6281, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 10], [-5, 9], [-4, 3]], "answer": {"point": [16.5, 9.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 10), B=(-5, 9), C=(-4, 3). Find the circumcenter.", "im_path": "/images_full/task_06281_circumcircle.png", "im_dots_path": "/images/task_06281_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [16.5, 9.5]}, "choices": null, "image_choices": null}
+{"qid": 6282, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -3], [-8, 5], [-1, -10]], "answer": {"point": [6.841463414634147, 2.792682926829268]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -3), B=(-8, 5), C=(-1, -10). Find the circumcenter.", "im_path": "/images_full/task_06282_circumcircle.png", "im_dots_path": "/images/task_06282_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [6.841463414634147, 2.792682926829268]}, "choices": null, "image_choices": null}
+{"qid": 6283, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 10], [1, -1], [9, 3]], "answer": {"point": [0.6666666666666666, 9.666666666666666]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 10), B=(1, -1), C=(9, 3). Find the circumcenter.", "im_path": "/images_full/task_06283_circumcircle.png", "im_dots_path": "/images/task_06283_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.6666666666666666, 9.666666666666666]}, "choices": null, "image_choices": null}
+{"qid": 6284, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 0], [-4, 4], [5, -4]], "answer": {"point": [2.6176470588235294, 2.3823529411764706]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 0), B=(-4, 4), C=(5, -4). Find the circumcenter.", "im_path": "/images_full/task_06284_circumcircle.png", "im_dots_path": "/images/task_06284_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.6176470588235294, 2.3823529411764706]}, "choices": null, "image_choices": null}
+{"qid": 6285, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 8], [4, 10], [-9, 8]], "answer": {"point": [-4.5, 22.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 8), B=(4, 10), C=(-9, 8). Find the circumcenter.", "im_path": "/images_full/task_06285_circumcircle.png", "im_dots_path": "/images/task_06285_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.5, 22.0]}, "choices": null, "image_choices": null}
+{"qid": 6286, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 8], [2, -7], [-10, -7]], "answer": {"point": [-4.0, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 8), B=(2, -7), C=(-10, -7). Find the circumcenter.", "im_path": "/images_full/task_06286_circumcircle.png", "im_dots_path": "/images/task_06286_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-4.0, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 6287, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 5], [7, 2], [8, 8]], "answer": {"point": [0.04838709677419355, 6.241935483870968]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 5), B=(7, 2), C=(8, 8). Find the circumcenter.", "im_path": "/images_full/task_06287_circumcircle.png", "im_dots_path": "/images/task_06287_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.04838709677419355, 6.241935483870968]}, "choices": null, "image_choices": null}
+{"qid": 6288, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 0], [-4, 0], [0, -3]], "answer": {"point": [-5.0, -5.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 0), B=(-4, 0), C=(0, -3). Find the circumcenter.", "im_path": "/images_full/task_06288_circumcircle.png", "im_dots_path": "/images/task_06288_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.0, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 6289, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, -5], [10, -3], [7, 3]], "answer": {"point": [6.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, -5), B=(10, -3), C=(7, 3). Find the circumcenter.", "im_path": "/images_full/task_06289_circumcircle.png", "im_dots_path": "/images/task_06289_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [6.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6290, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 6], [-6, -5], [3, -7]], "answer": {"point": [-0.3738738738738739, -0.9324324324324325]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 6), B=(-6, -5), C=(3, -7). Find the circumcenter.", "im_path": "/images_full/task_06290_circumcircle.png", "im_dots_path": "/images/task_06290_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.3738738738738739, -0.9324324324324325]}, "choices": null, "image_choices": null}
+{"qid": 6291, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -2], [-6, 4], [3, 7]], "answer": {"point": [0.4375, -0.3125]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -2), B=(-6, 4), C=(3, 7). Find the circumcenter.", "im_path": "/images_full/task_06291_circumcircle.png", "im_dots_path": "/images/task_06291_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.4375, -0.3125]}, "choices": null, "image_choices": null}
+{"qid": 6292, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 3], [-1, 3], [-5, -1]], "answer": {"point": [3.0, -5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 3), B=(-1, 3), C=(-5, -1). Find the circumcenter.", "im_path": "/images_full/task_06292_circumcircle.png", "im_dots_path": "/images/task_06292_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [3.0, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6293, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -2], [-1, 2], [-3, 6]], "answer": {"point": [-5.722222222222222, 2.138888888888889]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -2), B=(-1, 2), C=(-3, 6). Find the circumcenter.", "im_path": "/images_full/task_06293_circumcircle.png", "im_dots_path": "/images/task_06293_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-5.722222222222222, 2.138888888888889]}, "choices": null, "image_choices": null}
+{"qid": 6294, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -2], [7, 8], [9, 7]], "answer": {"point": [5.7727272727272725, 3.0454545454545454]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -2), B=(7, 8), C=(9, 7). Find the circumcenter.", "im_path": "/images_full/task_06294_circumcircle.png", "im_dots_path": "/images/task_06294_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [5.7727272727272725, 3.0454545454545454]}, "choices": null, "image_choices": null}
+{"qid": 6295, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -4], [0, 8], [10, 9]], "answer": {"point": [6.472972972972973, -6.22972972972973]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -4), B=(0, 8), C=(10, 9). Find the circumcenter.", "im_path": "/images_full/task_06295_circumcircle.png", "im_dots_path": "/images/task_06295_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [6.472972972972973, -6.22972972972973]}, "choices": null, "image_choices": null}
+{"qid": 6296, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -9], [10, -1], [3, 5]], "answer": {"point": [0.1590909090909091, -5.3977272727272725]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -9), B=(10, -1), C=(3, 5). Find the circumcenter.", "im_path": "/images_full/task_06296_circumcircle.png", "im_dots_path": "/images/task_06296_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [0.1590909090909091, -5.3977272727272725]}, "choices": null, "image_choices": null}
+{"qid": 6297, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 8], [-5, 9], [4, 2]], "answer": {"point": [2.0168539325842696, 8.735955056179776]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 8), B=(-5, 9), C=(4, 2). Find the circumcenter.", "im_path": "/images_full/task_06297_circumcircle.png", "im_dots_path": "/images/task_06297_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [2.0168539325842696, 8.735955056179776]}, "choices": null, "image_choices": null}
+{"qid": 6298, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 8], [7, 1], [0, -2]], "answer": {"point": [1.6538461538461537, 3.8076923076923075]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 8), B=(7, 1), C=(0, -2). Find the circumcenter.", "im_path": "/images_full/task_06298_circumcircle.png", "im_dots_path": "/images/task_06298_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [1.6538461538461537, 3.8076923076923075]}, "choices": null, "image_choices": null}
+{"qid": 6299, "type": "numeric", "category_id": 62, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 3], [-9, -6], [7, -2]], "answer": {"point": [-0.953125, -4.1875]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 3), B=(-9, -6), C=(7, -2). Find the circumcenter.", "im_path": "/images_full/task_06299_circumcircle.png", "im_dots_path": "/images/task_06299_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumcenter?", "image_answer": {"point": [-0.953125, -4.1875]}, "choices": null, "image_choices": null}

circle_properties/outer_circle_radius/outer_circle_radius_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 6300, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 0], [2, -9], [2, 6]], "answer": {"point": [-1.75, -1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 0), B=(2, -9), C=(2, 6). Find the circumradius.", "im_path": "/images_full/task_06300_circumcircle.png", "im_dots_path": "/images/task_06300_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.75, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6301, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 3], [2, 4], [-6, 6]], "answer": {"point": [-1.25, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 3), B=(2, 4), C=(-6, 6). Find the circumradius.", "im_path": "/images_full/task_06301_circumcircle.png", "im_dots_path": "/images/task_06301_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.25, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 6302, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, 3], [7, -10], [4, -9]], "answer": {"point": [7.5, -3.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, 3), B=(7, -10), C=(4, -9). Find the circumradius.", "im_path": "/images_full/task_06302_circumcircle.png", "im_dots_path": "/images/task_06302_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [7.5, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6303, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -3], [2, -5], [-1, 5]], "answer": {"point": [-0.6538461538461539, -0.34615384615384615]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -3), B=(2, -5), C=(-1, 5). Find the circumradius.", "im_path": "/images_full/task_06303_circumcircle.png", "im_dots_path": "/images/task_06303_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.6538461538461539, -0.34615384615384615]}, "choices": null, "image_choices": null}
+{"qid": 6304, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 7], [-10, -1], [-7, 4]], "answer": {"point": [3.3181818181818183, -5.590909090909091]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 7), B=(-10, -1), C=(-7, 4). Find the circumradius.", "im_path": "/images_full/task_06304_circumcircle.png", "im_dots_path": "/images/task_06304_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.3181818181818183, -5.590909090909091]}, "choices": null, "image_choices": null}
+{"qid": 6305, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -9], [-4, -5], [5, 2]], "answer": {"point": [-77.66666666666667, 99.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -9), B=(-4, -5), C=(5, 2). Find the circumradius.", "im_path": "/images_full/task_06305_circumcircle.png", "im_dots_path": "/images/task_06305_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-77.66666666666667, 99.0]}, "choices": null, "image_choices": null}
+{"qid": 6306, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 8], [9, 9], [-2, 5]], "answer": {"point": [0.5943396226415094, 14.99056603773585]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 8), B=(9, 9), C=(-2, 5). Find the circumradius.", "im_path": "/images_full/task_06306_circumcircle.png", "im_dots_path": "/images/task_06306_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.5943396226415094, 14.99056603773585]}, "choices": null, "image_choices": null}
+{"qid": 6307, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 1], [-6, -4], [-10, -9]], "answer": {"point": [13.166666666666666, -23.433333333333334]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 1), B=(-6, -4), C=(-10, -9). Find the circumradius.", "im_path": "/images_full/task_06307_circumcircle.png", "im_dots_path": "/images/task_06307_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [13.166666666666666, -23.433333333333334]}, "choices": null, "image_choices": null}
+{"qid": 6308, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 5], [7, 3], [7, 0]], "answer": {"point": [3.8333333333333335, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 5), B=(7, 3), C=(7, 0). Find the circumradius.", "im_path": "/images_full/task_06308_circumcircle.png", "im_dots_path": "/images/task_06308_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.8333333333333335, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6309, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -8], [3, 8], [1, -3]], "answer": {"point": [-9.0, 4.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -8), B=(3, 8), C=(1, -3). Find the circumradius.", "im_path": "/images_full/task_06309_circumcircle.png", "im_dots_path": "/images/task_06309_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-9.0, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 6310, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 4], [7, -2], [2, -6]], "answer": {"point": [-4.833333333333333, 7.666666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 4), B=(7, -2), C=(2, -6). Find the circumradius.", "im_path": "/images_full/task_06310_circumcircle.png", "im_dots_path": "/images/task_06310_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.833333333333333, 7.666666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6311, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 7], [1, -4], [-2, -4]], "answer": {"point": [-0.5, 4.681818181818182]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 7), B=(1, -4), C=(-2, -4). Find the circumradius.", "im_path": "/images_full/task_06311_circumcircle.png", "im_dots_path": "/images/task_06311_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.5, 4.681818181818182]}, "choices": null, "image_choices": null}
+{"qid": 6312, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 5], [5, 10], [-9, 9]], "answer": {"point": [-1.7535211267605635, 6.049295774647887]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 5), B=(5, 10), C=(-9, 9). Find the circumradius.", "im_path": "/images_full/task_06312_circumcircle.png", "im_dots_path": "/images/task_06312_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.7535211267605635, 6.049295774647887]}, "choices": null, "image_choices": null}
+{"qid": 6313, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -3], [-8, 8], [5, 3]], "answer": {"point": [-3.6153846153846154, -0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -3), B=(-8, 8), C=(5, 3). Find the circumradius.", "im_path": "/images_full/task_06313_circumcircle.png", "im_dots_path": "/images/task_06313_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.6153846153846154, -0.0]}, "choices": null, "image_choices": null}
+{"qid": 6314, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, -6], [-7, 3], [-2, -5]], "answer": {"point": [-4.913793103448276, -1.2586206896551724]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, -6), B=(-7, 3), C=(-2, -5). Find the circumradius.", "im_path": "/images_full/task_06314_circumcircle.png", "im_dots_path": "/images/task_06314_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.913793103448276, -1.2586206896551724]}, "choices": null, "image_choices": null}
+{"qid": 6315, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -7], [1, -7], [8, -6]], "answer": {"point": [-3.5, 49.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -7), B=(1, -7), C=(8, -6). Find the circumradius.", "im_path": "/images_full/task_06315_circumcircle.png", "im_dots_path": "/images/task_06315_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.5, 49.5]}, "choices": null, "image_choices": null}
+{"qid": 6316, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 10], [-7, 10], [6, -5]], "answer": {"point": [-1.5, 1.6333333333333333]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 10), B=(-7, 10), C=(6, -5). Find the circumradius.", "im_path": "/images_full/task_06316_circumcircle.png", "im_dots_path": "/images/task_06316_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.5, 1.6333333333333333]}, "choices": null, "image_choices": null}
+{"qid": 6317, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 4], [1, 4], [6, -9]], "answer": {"point": [3.5, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 4), B=(1, 4), C=(6, -9). Find the circumradius.", "im_path": "/images_full/task_06317_circumcircle.png", "im_dots_path": "/images/task_06317_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.5, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 6318, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 6], [-2, 3], [-4, -10]], "answer": {"point": [44.357142857142854, -10.785714285714286]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 6), B=(-2, 3), C=(-4, -10). Find the circumradius.", "im_path": "/images_full/task_06318_circumcircle.png", "im_dots_path": "/images/task_06318_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [44.357142857142854, -10.785714285714286]}, "choices": null, "image_choices": null}
+{"qid": 6319, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 3], [5, 0], [-8, 4]], "answer": {"point": [-0.9883720930232558, 3.6627906976744184]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 3), B=(5, 0), C=(-8, 4). Find the circumradius.", "im_path": "/images_full/task_06319_circumcircle.png", "im_dots_path": "/images/task_06319_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.9883720930232558, 3.6627906976744184]}, "choices": null, "image_choices": null}
+{"qid": 6320, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 4], [-6, -8], [7, -2]], "answer": {"point": [-0.2619047619047619, -3.3492063492063493]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 4), B=(-6, -8), C=(7, -2). Find the circumradius.", "im_path": "/images_full/task_06320_circumcircle.png", "im_dots_path": "/images/task_06320_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.2619047619047619, -3.3492063492063493]}, "choices": null, "image_choices": null}
+{"qid": 6321, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 3], [-1, 4], [-3, 10]], "answer": {"point": [4.568965517241379, 9.189655172413794]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 3), B=(-1, 4), C=(-3, 10). Find the circumradius.", "im_path": "/images_full/task_06321_circumcircle.png", "im_dots_path": "/images/task_06321_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [4.568965517241379, 9.189655172413794]}, "choices": null, "image_choices": null}
+{"qid": 6322, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 8], [1, 6], [-4, -7]], "answer": {"point": [-5.214285714285714, 0.9285714285714286]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(1, 6), C=(-4, -7). Find the circumradius.", "im_path": "/images_full/task_06322_circumcircle.png", "im_dots_path": "/images/task_06322_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-5.214285714285714, 0.9285714285714286]}, "choices": null, "image_choices": null}
+{"qid": 6323, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 5], [-2, 8], [-5, -2]], "answer": {"point": [-0.3987341772151899, 2.069620253164557]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 5), B=(-2, 8), C=(-5, -2). Find the circumradius.", "im_path": "/images_full/task_06323_circumcircle.png", "im_dots_path": "/images/task_06323_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.3987341772151899, 2.069620253164557]}, "choices": null, "image_choices": null}
+{"qid": 6324, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 2], [-1, 6], [-4, -9]], "answer": {"point": [-1.2096774193548387, -1.7580645161290323]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 2), B=(-1, 6), C=(-4, -9). Find the circumradius.", "im_path": "/images_full/task_06324_circumcircle.png", "im_dots_path": "/images/task_06324_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.2096774193548387, -1.7580645161290323]}, "choices": null, "image_choices": null}
+{"qid": 6325, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, 0], [1, 1], [-9, 0]], "answer": {"point": [-4.0, 0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, 0), B=(1, 1), C=(-9, 0). Find the circumradius.", "im_path": "/images_full/task_06325_circumcircle.png", "im_dots_path": "/images/task_06325_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.0, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 6326, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, -8], [10, 9], [-7, 2]], "answer": {"point": [2.973684210526316, 1.9210526315789473]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, -8), B=(10, 9), C=(-7, 2). Find the circumradius.", "im_path": "/images_full/task_06326_circumcircle.png", "im_dots_path": "/images/task_06326_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [2.973684210526316, 1.9210526315789473]}, "choices": null, "image_choices": null}
+{"qid": 6327, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 0], [-9, -4], [-6, -4]], "answer": {"point": [-7.5, 20.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 0), B=(-9, -4), C=(-6, -4). Find the circumradius.", "im_path": "/images_full/task_06327_circumcircle.png", "im_dots_path": "/images/task_06327_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-7.5, 20.5]}, "choices": null, "image_choices": null}
+{"qid": 6328, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 3], [-1, 8], [0, -3]], "answer": {"point": [-2.2439024390243905, 2.341463414634146]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 3), B=(-1, 8), C=(0, -3). Find the circumradius.", "im_path": "/images_full/task_06328_circumcircle.png", "im_dots_path": "/images/task_06328_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.2439024390243905, 2.341463414634146]}, "choices": null, "image_choices": null}
+{"qid": 6329, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 10], [-1, 6], [-6, 7]], "answer": {"point": [-3.323529411764706, 7.382352941176471]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 10), B=(-1, 6), C=(-6, 7). Find the circumradius.", "im_path": "/images_full/task_06329_circumcircle.png", "im_dots_path": "/images/task_06329_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.323529411764706, 7.382352941176471]}, "choices": null, "image_choices": null}
+{"qid": 6330, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -7], [-10, 10], [7, 9]], "answer": {"point": [-1.870503597122302, 3.2014388489208634]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -7), B=(-10, 10), C=(7, 9). Find the circumradius.", "im_path": "/images_full/task_06330_circumcircle.png", "im_dots_path": "/images/task_06330_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.870503597122302, 3.2014388489208634]}, "choices": null, "image_choices": null}
+{"qid": 6331, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, -7], [0, 6], [-5, 2]], "answer": {"point": [3.5, -3.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, -7), B=(0, 6), C=(-5, 2). Find the circumradius.", "im_path": "/images_full/task_06331_circumcircle.png", "im_dots_path": "/images/task_06331_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.5, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6332, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 3], [2, 8], [-6, 7]], "answer": {"point": [-1.803030303030303, 5.924242424242424]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 3), B=(2, 8), C=(-6, 7). Find the circumradius.", "im_path": "/images_full/task_06332_circumcircle.png", "im_dots_path": "/images/task_06332_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.803030303030303, 5.924242424242424]}, "choices": null, "image_choices": null}
+{"qid": 6333, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -2], [-2, 3], [-8, 2]], "answer": {"point": [-4.181818181818182, -2.409090909090909]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -2), B=(-2, 3), C=(-8, 2). Find the circumradius.", "im_path": "/images_full/task_06333_circumcircle.png", "im_dots_path": "/images/task_06333_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.181818181818182, -2.409090909090909]}, "choices": null, "image_choices": null}
+{"qid": 6334, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 0], [10, -5], [-8, -1]], "answer": {"point": [1.5555555555555556, -0.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 0), B=(10, -5), C=(-8, -1). Find the circumradius.", "im_path": "/images_full/task_06334_circumcircle.png", "im_dots_path": "/images/task_06334_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.5555555555555556, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6335, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 10], [-7, 1], [9, 7]], "answer": {"point": [0.7391304347826086, 4.695652173913044]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 10), B=(-7, 1), C=(9, 7). Find the circumradius.", "im_path": "/images_full/task_06335_circumcircle.png", "im_dots_path": "/images/task_06335_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.7391304347826086, 4.695652173913044]}, "choices": null, "image_choices": null}
+{"qid": 6336, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -10], [7, 1], [1, 4]], "answer": {"point": [-0.13157894736842105, -5.7631578947368425]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -10), B=(7, 1), C=(1, 4). Find the circumradius.", "im_path": "/images_full/task_06336_circumcircle.png", "im_dots_path": "/images/task_06336_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.13157894736842105, -5.7631578947368425]}, "choices": null, "image_choices": null}
+{"qid": 6337, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, -2], [0, -1], [1, -4]], "answer": {"point": [3.5, -1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, -2), B=(0, -1), C=(1, -4). Find the circumradius.", "im_path": "/images_full/task_06337_circumcircle.png", "im_dots_path": "/images/task_06337_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.5, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6338, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -5], [4, 6], [-10, -7]], "answer": {"point": [-0.2543103448275862, -3.456896551724138]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -5), B=(4, 6), C=(-10, -7). Find the circumradius.", "im_path": "/images_full/task_06338_circumcircle.png", "im_dots_path": "/images/task_06338_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.2543103448275862, -3.456896551724138]}, "choices": null, "image_choices": null}
+{"qid": 6339, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -1], [-2, 8], [-5, -2]], "answer": {"point": [-4.175675675675675, 3.2027027027027026]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -1), B=(-2, 8), C=(-5, -2). Find the circumradius.", "im_path": "/images_full/task_06339_circumcircle.png", "im_dots_path": "/images/task_06339_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.175675675675675, 3.2027027027027026]}, "choices": null, "image_choices": null}
+{"qid": 6340, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 6], [-2, -2], [-9, 7]], "answer": {"point": [-2.6363636363636362, 4.7272727272727275]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 6), B=(-2, -2), C=(-9, 7). Find the circumradius.", "im_path": "/images_full/task_06340_circumcircle.png", "im_dots_path": "/images/task_06340_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.6363636363636362, 4.7272727272727275]}, "choices": null, "image_choices": null}
+{"qid": 6341, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, -6], [8, -9], [-7, 5]], "answer": {"point": [-10.112903225806452, -13.370967741935484]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, -6), B=(8, -9), C=(-7, 5). Find the circumradius.", "im_path": "/images_full/task_06341_circumcircle.png", "im_dots_path": "/images/task_06341_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-10.112903225806452, -13.370967741935484]}, "choices": null, "image_choices": null}
+{"qid": 6342, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[6, 7], [-2, 7], [-10, -3]], "answer": {"point": [2.0, -4.4]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(6, 7), B=(-2, 7), C=(-10, -3). Find the circumradius.", "im_path": "/images_full/task_06342_circumcircle.png", "im_dots_path": "/images/task_06342_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [2.0, -4.4]}, "choices": null, "image_choices": null}
+{"qid": 6343, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -7], [-6, 9], [-8, 1]], "answer": {"point": [2.0555555555555554, 2.736111111111111]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -7), B=(-6, 9), C=(-8, 1). Find the circumradius.", "im_path": "/images_full/task_06343_circumcircle.png", "im_dots_path": "/images/task_06343_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [2.0555555555555554, 2.736111111111111]}, "choices": null, "image_choices": null}
+{"qid": 6344, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, -10], [10, 5], [-7, -7]], "answer": {"point": [19.944444444444443, -27.12962962962963]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, -10), B=(10, 5), C=(-7, -7). Find the circumradius.", "im_path": "/images_full/task_06344_circumcircle.png", "im_dots_path": "/images/task_06344_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [19.944444444444443, -27.12962962962963]}, "choices": null, "image_choices": null}
+{"qid": 6345, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -10], [-6, -5], [8, 3]], "answer": {"point": [6.161290322580645, -10.03225806451613]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -10), B=(-6, -5), C=(8, 3). Find the circumradius.", "im_path": "/images_full/task_06345_circumcircle.png", "im_dots_path": "/images/task_06345_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [6.161290322580645, -10.03225806451613]}, "choices": null, "image_choices": null}
+{"qid": 6346, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 6], [-4, 2], [10, -10]], "answer": {"point": [7.5, 1.25]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 6), B=(-4, 2), C=(10, -10). Find the circumradius.", "im_path": "/images_full/task_06346_circumcircle.png", "im_dots_path": "/images/task_06346_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [7.5, 1.25]}, "choices": null, "image_choices": null}
+{"qid": 6347, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -2], [3, -8], [-6, -8]], "answer": {"point": [-1.5, -4.166666666666667]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -2), B=(3, -8), C=(-6, -8). Find the circumradius.", "im_path": "/images_full/task_06347_circumcircle.png", "im_dots_path": "/images/task_06347_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.5, -4.166666666666667]}, "choices": null, "image_choices": null}
+{"qid": 6348, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, 6], [10, -9], [8, 8]], "answer": {"point": [11.318181818181818, -0.22727272727272727]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, 6), B=(10, -9), C=(8, 8). Find the circumradius.", "im_path": "/images_full/task_06348_circumcircle.png", "im_dots_path": "/images/task_06348_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [11.318181818181818, -0.22727272727272727]}, "choices": null, "image_choices": null}
+{"qid": 6349, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, -9], [9, -5], [-9, 7]], "answer": {"point": [-1.0217391304347827, -0.532608695652174]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, -9), B=(9, -5), C=(-9, 7). Find the circumradius.", "im_path": "/images_full/task_06349_circumcircle.png", "im_dots_path": "/images/task_06349_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.0217391304347827, -0.532608695652174]}, "choices": null, "image_choices": null}
+{"qid": 6350, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 0], [-6, 4], [3, -3]], "answer": {"point": [2.6363636363636362, 5.818181818181818]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 0), B=(-6, 4), C=(3, -3). Find the circumradius.", "im_path": "/images_full/task_06350_circumcircle.png", "im_dots_path": "/images/task_06350_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [2.6363636363636362, 5.818181818181818]}, "choices": null, "image_choices": null}
+{"qid": 6351, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, 9], [7, 0], [0, 5]], "answer": {"point": [4.895348837209302, 4.453488372093023]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, 9), B=(7, 0), C=(0, 5). Find the circumradius.", "im_path": "/images_full/task_06351_circumcircle.png", "im_dots_path": "/images/task_06351_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [4.895348837209302, 4.453488372093023]}, "choices": null, "image_choices": null}
+{"qid": 6352, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 8], [10, 5], [2, 10]], "answer": {"point": [-1.147887323943662, -3.936619718309859]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 8), B=(10, 5), C=(2, 10). Find the circumradius.", "im_path": "/images_full/task_06352_circumcircle.png", "im_dots_path": "/images/task_06352_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.147887323943662, -3.936619718309859]}, "choices": null, "image_choices": null}
+{"qid": 6353, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 0], [-8, -6], [-2, -8]], "answer": {"point": [-3.6666666666666665, -3.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 0), B=(-8, -6), C=(-2, -8). Find the circumradius.", "im_path": "/images_full/task_06353_circumcircle.png", "im_dots_path": "/images/task_06353_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.6666666666666665, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 6354, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, -9], [10, 5], [-6, 9]], "answer": {"point": [0.45652173913043476, 0.8260869565217391]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, -9), B=(10, 5), C=(-6, 9). Find the circumradius.", "im_path": "/images_full/task_06354_circumcircle.png", "im_dots_path": "/images/task_06354_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.45652173913043476, 0.8260869565217391]}, "choices": null, "image_choices": null}
+{"qid": 6355, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 10], [6, -6], [-8, 10]], "answer": {"point": [-4.0, -0.625]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 10), B=(6, -6), C=(-8, 10). Find the circumradius.", "im_path": "/images_full/task_06355_circumcircle.png", "im_dots_path": "/images/task_06355_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.0, -0.625]}, "choices": null, "image_choices": null}
+{"qid": 6356, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 6], [-7, -3], [-2, -8]], "answer": {"point": [1.54, 0.54]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 6), B=(-7, -3), C=(-2, -8). Find the circumradius.", "im_path": "/images_full/task_06356_circumcircle.png", "im_dots_path": "/images/task_06356_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.54, 0.54]}, "choices": null, "image_choices": null}
+{"qid": 6357, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-6, 8], [0, -2], [-3, -9]], "answer": {"point": [-10.63888888888889, -1.5833333333333333]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-6, 8), B=(0, -2), C=(-3, -9). Find the circumradius.", "im_path": "/images_full/task_06357_circumcircle.png", "im_dots_path": "/images/task_06357_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-10.63888888888889, -1.5833333333333333]}, "choices": null, "image_choices": null}
+{"qid": 6358, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[3, -1], [-1, -8], [0, 0]], "answer": {"point": [0.3, -4.1]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(3, -1), B=(-1, -8), C=(0, 0). Find the circumradius.", "im_path": "/images_full/task_06358_circumcircle.png", "im_dots_path": "/images/task_06358_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.3, -4.1]}, "choices": null, "image_choices": null}
+{"qid": 6359, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, -1], [1, -6], [-6, -6]], "answer": {"point": [-2.5, -2.7]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, -1), B=(1, -6), C=(-6, -6). Find the circumradius.", "im_path": "/images_full/task_06359_circumcircle.png", "im_dots_path": "/images/task_06359_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.5, -2.7]}, "choices": null, "image_choices": null}
+{"qid": 6360, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 5], [-3, 5], [-9, -2]], "answer": {"point": [-6.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 5), B=(-3, 5), C=(-9, -2). Find the circumradius.", "im_path": "/images_full/task_06360_circumcircle.png", "im_dots_path": "/images/task_06360_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-6.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6361, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -10], [-7, 5], [-2, 10]], "answer": {"point": [3.0, -0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -10), B=(-7, 5), C=(-2, 10). Find the circumradius.", "im_path": "/images_full/task_06361_circumcircle.png", "im_dots_path": "/images/task_06361_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.0, -0.0]}, "choices": null, "image_choices": null}
+{"qid": 6362, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -9], [9, -4], [-6, 6]], "answer": {"point": [0.8448275862068966, 0.017241379310344827]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -9), B=(9, -4), C=(-6, 6). Find the circumradius.", "im_path": "/images_full/task_06362_circumcircle.png", "im_dots_path": "/images/task_06362_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.8448275862068966, 0.017241379310344827]}, "choices": null, "image_choices": null}
+{"qid": 6363, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -1], [-4, 8], [-9, -7]], "answer": {"point": [-0.875, -1.375]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -1), B=(-4, 8), C=(-9, -7). Find the circumradius.", "im_path": "/images_full/task_06363_circumcircle.png", "im_dots_path": "/images/task_06363_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.875, -1.375]}, "choices": null, "image_choices": null}
+{"qid": 6364, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 5], [0, 5], [-7, 7]], "answer": {"point": [-3.5, 6.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 5), B=(0, 5), C=(-7, 7). Find the circumradius.", "im_path": "/images_full/task_06364_circumcircle.png", "im_dots_path": "/images/task_06364_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.5, 6.0]}, "choices": null, "image_choices": null}
+{"qid": 6365, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -10], [-1, -8], [-8, 8]], "answer": {"point": [11.029411764705882, 6.794117647058823]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -10), B=(-1, -8), C=(-8, 8). Find the circumradius.", "im_path": "/images_full/task_06365_circumcircle.png", "im_dots_path": "/images/task_06365_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [11.029411764705882, 6.794117647058823]}, "choices": null, "image_choices": null}
+{"qid": 6366, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -10], [-3, -7], [9, 2]], "answer": {"point": [5.5, -5.833333333333333]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -10), B=(-3, -7), C=(9, 2). Find the circumradius.", "im_path": "/images_full/task_06366_circumcircle.png", "im_dots_path": "/images/task_06366_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [5.5, -5.833333333333333]}, "choices": null, "image_choices": null}
+{"qid": 6367, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 5], [7, -5], [5, 0]], "answer": {"point": [12.25, -0.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 5), B=(7, -5), C=(5, 0). Find the circumradius.", "im_path": "/images_full/task_06367_circumcircle.png", "im_dots_path": "/images/task_06367_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [12.25, -0.0]}, "choices": null, "image_choices": null}
+{"qid": 6368, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, -1], [5, -3], [-7, 10]], "answer": {"point": [3.601123595505618, 7.747191011235955]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, -1), B=(5, -3), C=(-7, 10). Find the circumradius.", "im_path": "/images_full/task_06368_circumcircle.png", "im_dots_path": "/images/task_06368_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [3.601123595505618, 7.747191011235955]}, "choices": null, "image_choices": null}
+{"qid": 6369, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 0], [10, 9], [-2, -2]], "answer": {"point": [-2.262376237623762, 10.331683168316832]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 0), B=(10, 9), C=(-2, -2). Find the circumradius.", "im_path": "/images_full/task_06369_circumcircle.png", "im_dots_path": "/images/task_06369_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.262376237623762, 10.331683168316832]}, "choices": null, "image_choices": null}
+{"qid": 6370, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-5, 8], [-10, 3], [6, 5]], "answer": {"point": [-1.4285714285714286, -0.5714285714285714]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-5, 8), B=(-10, 3), C=(6, 5). Find the circumradius.", "im_path": "/images_full/task_06370_circumcircle.png", "im_dots_path": "/images/task_06370_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.4285714285714286, -0.5714285714285714]}, "choices": null, "image_choices": null}
+{"qid": 6371, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -8], [-10, -10], [4, -6]], "answer": {"point": [-2.3125, -10.40625]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -8), B=(-10, -10), C=(4, -6). Find the circumradius.", "im_path": "/images_full/task_06371_circumcircle.png", "im_dots_path": "/images/task_06371_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.3125, -10.40625]}, "choices": null, "image_choices": null}
+{"qid": 6372, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 7], [0, 7], [10, -4]], "answer": {"point": [-4.0, -6.681818181818182]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 7), B=(0, 7), C=(10, -4). Find the circumradius.", "im_path": "/images_full/task_06372_circumcircle.png", "im_dots_path": "/images/task_06372_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-4.0, -6.681818181818182]}, "choices": null, "image_choices": null}
+{"qid": 6373, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 5], [2, -4], [9, 3]], "answer": {"point": [-7.5, 12.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 5), B=(2, -4), C=(9, 3). Find the circumradius.", "im_path": "/images_full/task_06373_circumcircle.png", "im_dots_path": "/images/task_06373_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-7.5, 12.5]}, "choices": null, "image_choices": null}
+{"qid": 6374, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 3], [-6, -4], [-9, -6]], "answer": {"point": [29.5, -60.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 3), B=(-6, -4), C=(-9, -6). Find the circumradius.", "im_path": "/images_full/task_06374_circumcircle.png", "im_dots_path": "/images/task_06374_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [29.5, -60.5]}, "choices": null, "image_choices": null}
+{"qid": 6375, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, 3], [3, 0], [9, 8]], "answer": {"point": [7.230769230769231, 3.076923076923077]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, 3), B=(3, 0), C=(9, 8). Find the circumradius.", "im_path": "/images_full/task_06375_circumcircle.png", "im_dots_path": "/images/task_06375_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [7.230769230769231, 3.076923076923077]}, "choices": null, "image_choices": null}
+{"qid": 6376, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-4, 8], [-8, -1], [10, 2]], "answer": {"point": [1.02, 0.38]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-4, 8), B=(-8, -1), C=(10, 2). Find the circumradius.", "im_path": "/images_full/task_06376_circumcircle.png", "im_dots_path": "/images/task_06376_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.02, 0.38]}, "choices": null, "image_choices": null}
+{"qid": 6377, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -1], [10, -6], [-8, -3]], "answer": {"point": [-0.7222222222222222, -14.833333333333334]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -1), B=(10, -6), C=(-8, -3). Find the circumradius.", "im_path": "/images_full/task_06377_circumcircle.png", "im_dots_path": "/images/task_06377_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.7222222222222222, -14.833333333333334]}, "choices": null, "image_choices": null}
+{"qid": 6378, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[4, 7], [0, -3], [6, -5]], "answer": {"point": [4.647058823529412, 0.9411764705882353]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(4, 7), B=(0, -3), C=(6, -5). Find the circumradius.", "im_path": "/images_full/task_06378_circumcircle.png", "im_dots_path": "/images/task_06378_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [4.647058823529412, 0.9411764705882353]}, "choices": null, "image_choices": null}
+{"qid": 6379, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[0, 8], [4, 3], [5, 2]], "answer": {"point": [29.5, 27.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(0, 8), B=(4, 3), C=(5, 2). Find the circumradius.", "im_path": "/images_full/task_06379_circumcircle.png", "im_dots_path": "/images/task_06379_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [29.5, 27.5]}, "choices": null, "image_choices": null}
+{"qid": 6380, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[5, -9], [-4, 6], [9, 4]], "answer": {"point": [1.6016949152542372, -0.8389830508474576]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(5, -9), B=(-4, 6), C=(9, 4). Find the circumradius.", "im_path": "/images_full/task_06380_circumcircle.png", "im_dots_path": "/images/task_06380_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.6016949152542372, -0.8389830508474576]}, "choices": null, "image_choices": null}
+{"qid": 6381, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-3, 3], [-6, 2], [3, -3]], "answer": {"point": [-2.75, -2.75]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-3, 3), B=(-6, 2), C=(3, -3). Find the circumradius.", "im_path": "/images_full/task_06381_circumcircle.png", "im_dots_path": "/images/task_06381_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.75, -2.75]}, "choices": null, "image_choices": null}
+{"qid": 6382, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, 5], [-9, -3], [-6, 7]], "answer": {"point": [-5.357142857142857, 1.3571428571428572]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, 5), B=(-9, -3), C=(-6, 7). Find the circumradius.", "im_path": "/images_full/task_06382_circumcircle.png", "im_dots_path": "/images/task_06382_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-5.357142857142857, 1.3571428571428572]}, "choices": null, "image_choices": null}
+{"qid": 6383, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[2, -8], [-6, 2], [-2, -9]], "answer": {"point": [-1.4791666666666667, -2.5833333333333335]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(2, -8), B=(-6, 2), C=(-2, -9). Find the circumradius.", "im_path": "/images_full/task_06383_circumcircle.png", "im_dots_path": "/images/task_06383_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.4791666666666667, -2.5833333333333335]}, "choices": null, "image_choices": null}
+{"qid": 6384, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[10, 10], [1, -3], [9, 3]], "answer": {"point": [-1.0, 8.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(10, 10), B=(1, -3), C=(9, 3). Find the circumradius.", "im_path": "/images_full/task_06384_circumcircle.png", "im_dots_path": "/images/task_06384_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.0, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 6385, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, -6], [5, -1], [5, -4]], "answer": {"point": [0.7857142857142857, -2.5]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, -6), B=(5, -1), C=(5, -4). Find the circumradius.", "im_path": "/images_full/task_06385_circumcircle.png", "im_dots_path": "/images/task_06385_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.7857142857142857, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 6386, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[7, 0], [-8, -3], [-5, 8]], "answer": {"point": [-1.0, 1.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(7, 0), B=(-8, -3), C=(-5, 8). Find the circumradius.", "im_path": "/images_full/task_06386_circumcircle.png", "im_dots_path": "/images/task_06386_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-1.0, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 6387, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-7, 3], [-3, 5], [6, 10]], "answer": {"point": [-81.0, 156.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-7, 3), B=(-3, 5), C=(6, 10). Find the circumradius.", "im_path": "/images_full/task_06387_circumcircle.png", "im_dots_path": "/images/task_06387_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-81.0, 156.0]}, "choices": null, "image_choices": null}
+{"qid": 6388, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-9, 10], [-6, -10], [-1, 8]], "answer": {"point": [-7.240259740259741, 0.03896103896103896]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-9, 10), B=(-6, -10), C=(-1, 8). Find the circumradius.", "im_path": "/images_full/task_06388_circumcircle.png", "im_dots_path": "/images/task_06388_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-7.240259740259741, 0.03896103896103896]}, "choices": null, "image_choices": null}
+{"qid": 6389, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -7], [9, 0], [6, 9]], "answer": {"point": [0.12162162162162163, 2.0405405405405403]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -7), B=(9, 0), C=(6, 9). Find the circumradius.", "im_path": "/images_full/task_06389_circumcircle.png", "im_dots_path": "/images/task_06389_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [0.12162162162162163, 2.0405405405405403]}, "choices": null, "image_choices": null}
+{"qid": 6390, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -8], [-5, 10], [6, -2]], "answer": {"point": [-3.2142857142857144, 0.5952380952380952]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -8), B=(-5, 10), C=(6, -2). Find the circumradius.", "im_path": "/images_full/task_06390_circumcircle.png", "im_dots_path": "/images/task_06390_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-3.2142857142857144, 0.5952380952380952]}, "choices": null, "image_choices": null}
+{"qid": 6391, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-8, 10], [-4, 8], [9, -9]], "answer": {"point": [-18.952380952380953, -16.904761904761905]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-8, 10), B=(-4, 8), C=(9, -9). Find the circumradius.", "im_path": "/images_full/task_06391_circumcircle.png", "im_dots_path": "/images/task_06391_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-18.952380952380953, -16.904761904761905]}, "choices": null, "image_choices": null}
+{"qid": 6392, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, -3], [10, -9], [6, 0]], "answer": {"point": [1.7, -7.3]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, -3), B=(10, -9), C=(6, 0). Find the circumradius.", "im_path": "/images_full/task_06392_circumcircle.png", "im_dots_path": "/images/task_06392_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.7, -7.3]}, "choices": null, "image_choices": null}
+{"qid": 6393, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, -2], [10, 9], [-8, 6]], "answer": {"point": [2.391304347826087, -0.8478260869565217]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, -2), B=(10, 9), C=(-8, 6). Find the circumradius.", "im_path": "/images_full/task_06393_circumcircle.png", "im_dots_path": "/images/task_06393_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [2.391304347826087, -0.8478260869565217]}, "choices": null, "image_choices": null}
+{"qid": 6394, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-10, 9], [6, 8], [-9, -7]], "answer": {"point": [-2.4411764705882355, 1.4411764705882353]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-10, 9), B=(6, 8), C=(-9, -7). Find the circumradius.", "im_path": "/images_full/task_06394_circumcircle.png", "im_dots_path": "/images/task_06394_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-2.4411764705882355, 1.4411764705882353]}, "choices": null, "image_choices": null}
+{"qid": 6395, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-2, 2], [5, -5], [0, -6]], "answer": {"point": [1.6666666666666667, -1.3333333333333333]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-2, 2), B=(5, -5), C=(0, -6). Find the circumradius.", "im_path": "/images_full/task_06395_circumcircle.png", "im_dots_path": "/images/task_06395_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [1.6666666666666667, -1.3333333333333333]}, "choices": null, "image_choices": null}
+{"qid": 6396, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[-1, -8], [3, -5], [-1, -2]], "answer": {"point": [-0.125, -5.0]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(-1, -8), B=(3, -5), C=(-1, -2). Find the circumradius.", "im_path": "/images_full/task_06396_circumcircle.png", "im_dots_path": "/images/task_06396_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [-0.125, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6397, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[9, 5], [-7, -5], [2, 5]], "answer": {"point": [5.5, -7.2]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(9, 5), B=(-7, -5), C=(2, 5). Find the circumradius.", "im_path": "/images_full/task_06397_circumcircle.png", "im_dots_path": "/images/task_06397_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [5.5, -7.2]}, "choices": null, "image_choices": null}
+{"qid": 6398, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[1, -6], [3, -8], [-2, 9]], "answer": {"point": [13.25, 4.25]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(1, -6), B=(3, -8), C=(-2, 9). Find the circumradius.", "im_path": "/images_full/task_06398_circumcircle.png", "im_dots_path": "/images/task_06398_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [13.25, 4.25]}, "choices": null, "image_choices": null}
+{"qid": 6399, "type": "numeric", "category_id": 63, "category": "Simple circle properties", "difficulty": 2, "schema_type": "point", "points": [[8, -1], [2, 0], [-4, 6]], "answer": {"point": [6.9, 10.9]}, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Triangle A=(8, -1), B=(2, 0), C=(-4, 6). Find the circumradius.", "im_path": "/images_full/task_06399_circumcircle.png", "im_dots_path": "/images/task_06399_circumcircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the circumradius?", "image_answer": {"point": [6.9, 10.9]}, "choices": null, "image_choices": null}

circle_properties/semicircle_triangle/semicircle_triangle_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 11000, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 0], "B": [1, 9], "C": [0, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 0), B=(1, 9), C=(0, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11000_semicircle.png", "im_dots_path": "/images/task_11000_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11001, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 8], "B": [-7, 5], "C": [-4, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 8), B=(-7, 5), C=(-4, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11001_semicircle.png", "im_dots_path": "/images/task_11001_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11002, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -4], "B": [4, 10], "C": [7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -4), B=(4, 10), C=(7, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11002_semicircle.png", "im_dots_path": "/images/task_11002_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11003, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [2, 5], "C": [-1, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 4), B=(2, 5), C=(-1, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11003_semicircle.png", "im_dots_path": "/images/task_11003_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11004, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -8], "B": [6, -8], "C": [6, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -8), B=(6, -8), C=(6, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11004_semicircle.png", "im_dots_path": "/images/task_11004_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11005, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 6], "B": [8, 1], "C": [-9, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 6), B=(8, 1), C=(-9, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11005_semicircle.png", "im_dots_path": "/images/task_11005_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11006, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -8], "B": [-7, 3], "C": [0, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -8), B=(-7, 3), C=(0, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11006_semicircle.png", "im_dots_path": "/images/task_11006_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11007, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -7], "B": [-8, -3], "C": [-7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -7), B=(-8, -3), C=(-7, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11007_semicircle.png", "im_dots_path": "/images/task_11007_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11008, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 10], "B": [-3, -7], "C": [-7, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 10), B=(-3, -7), C=(-7, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11008_semicircle.png", "im_dots_path": "/images/task_11008_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11009, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -3], "B": [7, -9], "C": [-10, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -3), B=(7, -9), C=(-10, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11009_semicircle.png", "im_dots_path": "/images/task_11009_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11010, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -10], "B": [-8, 4], "C": [-8, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -10), B=(-8, 4), C=(-8, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11010_semicircle.png", "im_dots_path": "/images/task_11010_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11011, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -2], "B": [-7, 7], "C": [10, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -2), B=(-7, 7), C=(10, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11011_semicircle.png", "im_dots_path": "/images/task_11011_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11012, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -1], "B": [5, -7], "C": [-6, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -1), B=(5, -7), C=(-6, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11012_semicircle.png", "im_dots_path": "/images/task_11012_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11013, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -6], "B": [-1, -8], "C": [2, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -6), B=(-1, -8), C=(2, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11013_semicircle.png", "im_dots_path": "/images/task_11013_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11014, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 7], "B": [2, -9], "C": [8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 7), B=(2, -9), C=(8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11014_semicircle.png", "im_dots_path": "/images/task_11014_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11015, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 3], "B": [5, 9], "C": [4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 3), B=(5, 9), C=(4, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11015_semicircle.png", "im_dots_path": "/images/task_11015_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11016, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 2], "B": [3, 1], "C": [4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 2), B=(3, 1), C=(4, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11016_semicircle.png", "im_dots_path": "/images/task_11016_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11017, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 8], "B": [-5, 8], "C": [8, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 8), B=(-5, 8), C=(8, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11017_semicircle.png", "im_dots_path": "/images/task_11017_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11018, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [-3, 7], "C": [4, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 10), B=(-3, 7), C=(4, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11018_semicircle.png", "im_dots_path": "/images/task_11018_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11019, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 8], "B": [1, 8], "C": [-10, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 8), B=(1, 8), C=(-10, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11019_semicircle.png", "im_dots_path": "/images/task_11019_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11020, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -5], "B": [-1, 8], "C": [-7, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -5), B=(-1, 8), C=(-7, 2). Inscribed in semicircle?", "im_path": "/images_full/task_11020_semicircle.png", "im_dots_path": "/images/task_11020_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11021, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 8], "B": [-3, 8], "C": [-3, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 8), B=(-3, 8), C=(-3, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11021_semicircle.png", "im_dots_path": "/images/task_11021_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11022, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 2], "B": [1, -2], "C": [4, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 2), B=(1, -2), C=(4, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11022_semicircle.png", "im_dots_path": "/images/task_11022_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11023, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 10], "B": [9, 1], "C": [0, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 10), B=(9, 1), C=(0, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11023_semicircle.png", "im_dots_path": "/images/task_11023_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11024, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -1], "B": [7, 2], "C": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -1), B=(7, 2), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11024_semicircle.png", "im_dots_path": "/images/task_11024_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11025, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 4], "B": [5, 1], "C": [5, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 4), B=(5, 1), C=(5, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11025_semicircle.png", "im_dots_path": "/images/task_11025_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11026, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [-9, 10], "C": [5, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -8), B=(-9, 10), C=(5, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11026_semicircle.png", "im_dots_path": "/images/task_11026_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11027, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -5], "B": [8, -2], "C": [-9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -5), B=(8, -2), C=(-9, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11027_semicircle.png", "im_dots_path": "/images/task_11027_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11028, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -9], "B": [-10, -5], "C": [5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -9), B=(-10, -5), C=(5, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11028_semicircle.png", "im_dots_path": "/images/task_11028_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11029, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 4], "B": [9, 4], "C": [-10, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 4), B=(9, 4), C=(-10, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11029_semicircle.png", "im_dots_path": "/images/task_11029_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11030, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 4], "B": [-8, 9], "C": [6, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 4), B=(-8, 9), C=(6, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11030_semicircle.png", "im_dots_path": "/images/task_11030_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11031, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -2], "B": [-9, -9], "C": [9, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -2), B=(-9, -9), C=(9, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11031_semicircle.png", "im_dots_path": "/images/task_11031_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11032, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [-10, -2], "C": [0, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -2), B=(-10, -2), C=(0, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11032_semicircle.png", "im_dots_path": "/images/task_11032_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11033, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -1], "B": [-6, -3], "C": [-4, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, -1), B=(-6, -3), C=(-4, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11033_semicircle.png", "im_dots_path": "/images/task_11033_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11034, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 1], "B": [-5, 9], "C": [-9, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 1), B=(-5, 9), C=(-9, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11034_semicircle.png", "im_dots_path": "/images/task_11034_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11035, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -6], "B": [-8, 1], "C": [9, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -6), B=(-8, 1), C=(9, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11035_semicircle.png", "im_dots_path": "/images/task_11035_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11036, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -2], "B": [-3, 7], "C": [-10, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -2), B=(-3, 7), C=(-10, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11036_semicircle.png", "im_dots_path": "/images/task_11036_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11037, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 7], "B": [8, 10], "C": [-8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 7), B=(8, 10), C=(-8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11037_semicircle.png", "im_dots_path": "/images/task_11037_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11038, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 3], "B": [-4, 0], "C": [3, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 3), B=(-4, 0), C=(3, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11038_semicircle.png", "im_dots_path": "/images/task_11038_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11039, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 1], "B": [6, 8], "C": [3, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 1), B=(6, 8), C=(3, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11039_semicircle.png", "im_dots_path": "/images/task_11039_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11040, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -5], "B": [-1, 0], "C": [3, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -5), B=(-1, 0), C=(3, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11040_semicircle.png", "im_dots_path": "/images/task_11040_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11041, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 2], "B": [1, -4], "C": [-8, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, 2), B=(1, -4), C=(-8, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11041_semicircle.png", "im_dots_path": "/images/task_11041_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11042, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -6], "B": [3, 6], "C": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -6), B=(3, 6), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11042_semicircle.png", "im_dots_path": "/images/task_11042_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11043, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -2], "B": [-5, -9], "C": [-1, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -2), B=(-5, -9), C=(-1, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11043_semicircle.png", "im_dots_path": "/images/task_11043_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11044, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 6], "B": [0, 9], "C": [-4, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 6), B=(0, 9), C=(-4, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11044_semicircle.png", "im_dots_path": "/images/task_11044_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11045, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 4], "B": [9, 10], "C": [-1, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 4), B=(9, 10), C=(-1, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11045_semicircle.png", "im_dots_path": "/images/task_11045_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11046, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 1], "B": [1, -1], "C": [3, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 1), B=(1, -1), C=(3, 6). Inscribed in semicircle?", "im_path": "/images_full/task_11046_semicircle.png", "im_dots_path": "/images/task_11046_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11047, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -6], "B": [-5, -6], "C": [-1, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -6), B=(-5, -6), C=(-1, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11047_semicircle.png", "im_dots_path": "/images/task_11047_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11048, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -10], "B": [10, -7], "C": [10, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -10), B=(10, -7), C=(10, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11048_semicircle.png", "im_dots_path": "/images/task_11048_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11049, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -4], "B": [-9, -2], "C": [9, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -4), B=(-9, -2), C=(9, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11049_semicircle.png", "im_dots_path": "/images/task_11049_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11050, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -6], "B": [-4, -2], "C": [-3, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -6), B=(-4, -2), C=(-3, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11050_semicircle.png", "im_dots_path": "/images/task_11050_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11051, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [9, -1], "C": [5, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 7), B=(9, -1), C=(5, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11051_semicircle.png", "im_dots_path": "/images/task_11051_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11052, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [-3, 3], "C": [7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 7), B=(-3, 3), C=(7, 10). Inscribed in semicircle?", "im_path": "/images_full/task_11052_semicircle.png", "im_dots_path": "/images/task_11052_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11053, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -1], "B": [7, -2], "C": [1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -1), B=(7, -2), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11053_semicircle.png", "im_dots_path": "/images/task_11053_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11054, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -2], "B": [7, 8], "C": [8, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -2), B=(7, 8), C=(8, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11054_semicircle.png", "im_dots_path": "/images/task_11054_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11055, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -6], "B": [1, -9], "C": [-5, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -6), B=(1, -9), C=(-5, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11055_semicircle.png", "im_dots_path": "/images/task_11055_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11056, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -3], "B": [6, 8], "C": [6, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -3), B=(6, 8), C=(6, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11056_semicircle.png", "im_dots_path": "/images/task_11056_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11057, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 5], "B": [-6, 8], "C": [-6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 5), B=(-6, 8), C=(-6, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11057_semicircle.png", "im_dots_path": "/images/task_11057_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11058, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 5], "B": [-6, 8], "C": [-3, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 5), B=(-6, 8), C=(-3, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11058_semicircle.png", "im_dots_path": "/images/task_11058_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11059, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 3], "B": [-4, -4], "C": [9, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 3), B=(-4, -4), C=(9, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11059_semicircle.png", "im_dots_path": "/images/task_11059_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11060, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -8], "B": [5, 9], "C": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -8), B=(5, 9), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11060_semicircle.png", "im_dots_path": "/images/task_11060_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11061, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -8], "B": [-7, 10], "C": [-6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -8), B=(-7, 10), C=(-6, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11061_semicircle.png", "im_dots_path": "/images/task_11061_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11062, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -6], "B": [-6, 3], "C": [8, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -6), B=(-6, 3), C=(8, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11062_semicircle.png", "im_dots_path": "/images/task_11062_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11063, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 0], "B": [-5, -7], "C": [2, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 0), B=(-5, -7), C=(2, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11063_semicircle.png", "im_dots_path": "/images/task_11063_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11064, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 8], "B": [-4, -5], "C": [-7, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, 8), B=(-4, -5), C=(-7, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11064_semicircle.png", "im_dots_path": "/images/task_11064_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11065, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 1], "B": [-5, 3], "C": [-4, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 1), B=(-5, 3), C=(-4, -1). Inscribed in semicircle?", "im_path": "/images_full/task_11065_semicircle.png", "im_dots_path": "/images/task_11065_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11066, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -10], "B": [-7, 3], "C": [9, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -10), B=(-7, 3), C=(9, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11066_semicircle.png", "im_dots_path": "/images/task_11066_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11067, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 0], "B": [0, 0], "C": [0, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 0), B=(0, 0), C=(0, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11067_semicircle.png", "im_dots_path": "/images/task_11067_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11068, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 3], "B": [8, -6], "C": [-1, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, 3), B=(8, -6), C=(-1, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11068_semicircle.png", "im_dots_path": "/images/task_11068_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11069, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 9], "B": [-5, -3], "C": [2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 9), B=(-5, -3), C=(2, -2). Inscribed in semicircle?", "im_path": "/images_full/task_11069_semicircle.png", "im_dots_path": "/images/task_11069_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11070, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 5], "B": [10, -5], "C": [4, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 5), B=(10, -5), C=(4, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11070_semicircle.png", "im_dots_path": "/images/task_11070_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11071, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -2], "B": [-2, 6], "C": [3, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -2), B=(-2, 6), C=(3, -8). Inscribed in semicircle?", "im_path": "/images_full/task_11071_semicircle.png", "im_dots_path": "/images/task_11071_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11072, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -3], "B": [-6, -5], "C": [4, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -3), B=(-6, -5), C=(4, -3). Inscribed in semicircle?", "im_path": "/images_full/task_11072_semicircle.png", "im_dots_path": "/images/task_11072_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11073, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [4, 3], "C": [7, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 3), B=(4, 3), C=(7, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11073_semicircle.png", "im_dots_path": "/images/task_11073_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11074, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 4], "B": [-7, -4], "C": [-2, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 4), B=(-7, -4), C=(-2, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11074_semicircle.png", "im_dots_path": "/images/task_11074_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11075, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -5], "B": [6, 7], "C": [6, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -5), B=(6, 7), C=(6, 7). Inscribed in semicircle?", "im_path": "/images_full/task_11075_semicircle.png", "im_dots_path": "/images/task_11075_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11076, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [-2, -7], "C": [0, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, 5), B=(-2, -7), C=(0, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11076_semicircle.png", "im_dots_path": "/images/task_11076_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11077, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -2], "B": [-5, 10], "C": [-3, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -2), B=(-5, 10), C=(-3, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11077_semicircle.png", "im_dots_path": "/images/task_11077_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11078, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 9], "B": [9, 2], "C": [6, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 9), B=(9, 2), C=(6, 4). Inscribed in semicircle?", "im_path": "/images_full/task_11078_semicircle.png", "im_dots_path": "/images/task_11078_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11079, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 8], "B": [6, 1], "C": [-2, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 8), B=(6, 1), C=(-2, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11079_semicircle.png", "im_dots_path": "/images/task_11079_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11080, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 5], "B": [6, 5], "C": [9, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 5), B=(6, 5), C=(9, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11080_semicircle.png", "im_dots_path": "/images/task_11080_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11081, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -7], "B": [-6, -4], "C": [-6, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -7), B=(-6, -4), C=(-6, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11081_semicircle.png", "im_dots_path": "/images/task_11081_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11082, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -3], "B": [-4, 4], "C": [8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -3), B=(-4, 4), C=(8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11082_semicircle.png", "im_dots_path": "/images/task_11082_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11083, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -10], "B": [-2, -10], "C": [9, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -10), B=(-2, -10), C=(9, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11083_semicircle.png", "im_dots_path": "/images/task_11083_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11084, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -5], "B": [2, 9], "C": [10, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -5), B=(2, 9), C=(10, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11084_semicircle.png", "im_dots_path": "/images/task_11084_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11085, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 0], "B": [8, -5], "C": [-8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 0), B=(8, -5), C=(-8, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11085_semicircle.png", "im_dots_path": "/images/task_11085_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11086, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -6], "B": [-9, 3], "C": [-5, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -6), B=(-9, 3), C=(-5, 9). Inscribed in semicircle?", "im_path": "/images_full/task_11086_semicircle.png", "im_dots_path": "/images/task_11086_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11087, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -6], "B": [5, 5], "C": [1, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, -6), B=(5, 5), C=(1, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11087_semicircle.png", "im_dots_path": "/images/task_11087_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11088, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 1], "B": [5, 10], "C": [4, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 1), B=(5, 10), C=(4, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11088_semicircle.png", "im_dots_path": "/images/task_11088_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11089, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 3], "B": [-8, 10], "C": [-5, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 3), B=(-8, 10), C=(-5, -4). Inscribed in semicircle?", "im_path": "/images_full/task_11089_semicircle.png", "im_dots_path": "/images/task_11089_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11090, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -4], "B": [1, 9], "C": [3, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -4), B=(1, 9), C=(3, -5). Inscribed in semicircle?", "im_path": "/images_full/task_11090_semicircle.png", "im_dots_path": "/images/task_11090_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11091, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -5], "B": [-3, -8], "C": [-7, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -5), B=(-3, -8), C=(-7, -10). Inscribed in semicircle?", "im_path": "/images_full/task_11091_semicircle.png", "im_dots_path": "/images/task_11091_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11092, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 9], "B": [6, 10], "C": [2, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 9), B=(6, 10), C=(2, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11092_semicircle.png", "im_dots_path": "/images/task_11092_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11093, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 9], "B": [2, 9], "C": [2, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 9), B=(2, 9), C=(2, 3). Inscribed in semicircle?", "im_path": "/images_full/task_11093_semicircle.png", "im_dots_path": "/images/task_11093_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11094, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 0], "B": [-3, 0], "C": [0, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 0), B=(-3, 0), C=(0, -9). Inscribed in semicircle?", "im_path": "/images_full/task_11094_semicircle.png", "im_dots_path": "/images/task_11094_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11095, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 10], "B": [-5, 4], "C": [-6, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 10), B=(-5, 4), C=(-6, 5). Inscribed in semicircle?", "im_path": "/images_full/task_11095_semicircle.png", "im_dots_path": "/images/task_11095_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11096, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -8], "B": [-8, 8], "C": [-5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -8), B=(-8, 8), C=(-5, 1). Inscribed in semicircle?", "im_path": "/images_full/task_11096_semicircle.png", "im_dots_path": "/images/task_11096_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11097, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 5], "B": [4, 0], "C": [-7, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 5), B=(4, 0), C=(-7, 8). Inscribed in semicircle?", "im_path": "/images_full/task_11097_semicircle.png", "im_dots_path": "/images/task_11097_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 11098, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 3], "B": [10, 2], "C": [1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 3), B=(10, 2), C=(1, -6). Inscribed in semicircle?", "im_path": "/images_full/task_11098_semicircle.png", "im_dots_path": "/images/task_11098_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 11099, "type": "unstable", "category_id": 110, "category": "Simple circle properties", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 7], "B": [0, -5], "C": [4, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 7), B=(0, -5), C=(4, -7). Inscribed in semicircle?", "im_path": "/images_full/task_11099_semicircle.png", "im_dots_path": "/images/task_11099_semicircle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is the triangle ABC inscribed in a semicircle?", "image_choices": ["yes", "no"], "image_answer": "yes"}

elementary_calculations/center_coordinates/center_coordinates_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 6000, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 2], "B": [-6, 9]}, "answer": {"point": [-5.5, 5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 2), B=(-6, 9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06000_center.png", "im_dots_path": "/images/task_06000_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 6001, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 9], "B": [4, 4]}, "answer": {"point": [3.0, 6.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(2, 9), B=(4, 4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06001_center.png", "im_dots_path": "/images/task_06001_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.0, 6.5]}, "choices": null, "image_choices": null}
+{"qid": 6002, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [6, -3], "B": [-10, -3]}, "answer": {"point": [-2.0, -3.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(6, -3), B=(-10, -3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06002_center.png", "im_dots_path": "/images/task_06002_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.0, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 6003, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [8, 4], "B": [-10, 0]}, "answer": {"point": [-1.0, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(8, 4), B=(-10, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06003_center.png", "im_dots_path": "/images/task_06003_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.0, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6004, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, -4], "B": [9, -7]}, "answer": {"point": [2.5, -5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-4, -4), B=(9, -7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06004_center.png", "im_dots_path": "/images/task_06004_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.5, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 6005, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -9], "B": [-2, 5]}, "answer": {"point": [-5.5, -2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, -9), B=(-2, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06005_center.png", "im_dots_path": "/images/task_06005_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 6006, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -10], "B": [1, 3]}, "answer": {"point": [-1.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, -10), B=(1, 3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06006_center.png", "im_dots_path": "/images/task_06006_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6007, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [1, -8], "B": [6, 5]}, "answer": {"point": [3.5, -1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(1, -8), B=(6, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06007_center.png", "im_dots_path": "/images/task_06007_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.5, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6008, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, -9], "B": [-4, 10]}, "answer": {"point": [-5.5, 0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-7, -9), B=(-4, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06008_center.png", "im_dots_path": "/images/task_06008_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 6009, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -10], "B": [9, -4]}, "answer": {"point": [6.5, -7.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(4, -10), B=(9, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06009_center.png", "im_dots_path": "/images/task_06009_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.5, -7.0]}, "choices": null, "image_choices": null}
+{"qid": 6010, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -1], "B": [6, 4]}, "answer": {"point": [8.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -1), B=(6, 4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06010_center.png", "im_dots_path": "/images/task_06010_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [8.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6011, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, 8], "B": [-1, -9]}, "answer": {"point": [-3.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-6, 8), B=(-1, -9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06011_center.png", "im_dots_path": "/images/task_06011_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6012, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -5], "B": [-4, 2]}, "answer": {"point": [-6.5, -1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, -5), B=(-4, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06012_center.png", "im_dots_path": "/images/task_06012_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-6.5, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6013, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, -1], "B": [10, 0]}, "answer": {"point": [4.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-2, -1), B=(10, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06013_center.png", "im_dots_path": "/images/task_06013_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [4.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6014, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -6], "B": [2, -4]}, "answer": {"point": [3.5, -5.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, -6), B=(2, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06014_center.png", "im_dots_path": "/images/task_06014_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.5, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6015, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [9, 9], "B": [8, 7]}, "answer": {"point": [8.5, 8.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(9, 9), B=(8, 7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06015_center.png", "im_dots_path": "/images/task_06015_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [8.5, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 6016, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -6], "B": [-3, -5]}, "answer": {"point": [0.5, -5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(4, -6), B=(-3, -5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06016_center.png", "im_dots_path": "/images/task_06016_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [0.5, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 6017, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, 10], "B": [-5, -3]}, "answer": {"point": [-3.5, 3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-2, 10), B=(-5, -3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06017_center.png", "im_dots_path": "/images/task_06017_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.5, 3.5]}, "choices": null, "image_choices": null}
+{"qid": 6018, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, 2], "B": [-7, 3]}, "answer": {"point": [-5.5, 2.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-4, 2), B=(-7, 3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06018_center.png", "im_dots_path": "/images/task_06018_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, 2.5]}, "choices": null, "image_choices": null}
+{"qid": 6019, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [8, -3], "B": [2, 6]}, "answer": {"point": [5.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(8, -3), B=(2, 6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06019_center.png", "im_dots_path": "/images/task_06019_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [5.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6020, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [8, 1], "B": [-3, -2]}, "answer": {"point": [2.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(8, 1), B=(-3, -2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06020_center.png", "im_dots_path": "/images/task_06020_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6021, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -10], "B": [4, 8]}, "answer": {"point": [-2.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, -10), B=(4, 8). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06021_center.png", "im_dots_path": "/images/task_06021_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6022, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -2], "B": [0, -7]}, "answer": {"point": [-1.5, -4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, -2), B=(0, -7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06022_center.png", "im_dots_path": "/images/task_06022_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.5, -4.5]}, "choices": null, "image_choices": null}
+{"qid": 6023, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 4], "B": [4, -7]}, "answer": {"point": [7.0, -1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, 4), B=(4, -7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06023_center.png", "im_dots_path": "/images/task_06023_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.0, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6024, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [1, 5], "B": [5, -2]}, "answer": {"point": [3.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(1, 5), B=(5, -2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06024_center.png", "im_dots_path": "/images/task_06024_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6025, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, 3], "B": [3, 8]}, "answer": {"point": [-3.5, 5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-10, 3), B=(3, 8). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06025_center.png", "im_dots_path": "/images/task_06025_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.5, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 6026, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -6], "B": [-8, -4]}, "answer": {"point": [1.0, -5.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -6), B=(-8, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06026_center.png", "im_dots_path": "/images/task_06026_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.0, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6027, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 10], "B": [0, -10]}, "answer": {"point": [-2.5, 0.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 10), B=(0, -10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06027_center.png", "im_dots_path": "/images/task_06027_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 6028, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, -10], "B": [1, 8]}, "answer": {"point": [-4.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-10, -10), B=(1, 8). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06028_center.png", "im_dots_path": "/images/task_06028_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-4.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6029, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, 2], "B": [10, 5]}, "answer": {"point": [1.0, 3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-8, 2), B=(10, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06029_center.png", "im_dots_path": "/images/task_06029_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.0, 3.5]}, "choices": null, "image_choices": null}
+{"qid": 6030, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 0], "B": [8, 6]}, "answer": {"point": [7.0, 3.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(6, 0), B=(8, 6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06030_center.png", "im_dots_path": "/images/task_06030_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.0, 3.0]}, "choices": null, "image_choices": null}
+{"qid": 6031, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [0, -9], "B": [-4, 2]}, "answer": {"point": [-2.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(0, -9), B=(-4, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06031_center.png", "im_dots_path": "/images/task_06031_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6032, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-4, -7], "B": [-6, 0]}, "answer": {"point": [-5.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-4, -7), B=(-6, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06032_center.png", "im_dots_path": "/images/task_06032_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6033, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [9, 1], "B": [6, 1]}, "answer": {"point": [7.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(9, 1), B=(6, 1). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06033_center.png", "im_dots_path": "/images/task_06033_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 6034, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [6, 2], "B": [2, 7]}, "answer": {"point": [4.0, 4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(6, 2), B=(2, 7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06034_center.png", "im_dots_path": "/images/task_06034_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [4.0, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 6035, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 2], "B": [9, -5]}, "answer": {"point": [2.0, -1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 2), B=(9, -5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06035_center.png", "im_dots_path": "/images/task_06035_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.0, -1.5]}, "choices": null, "image_choices": null}
+{"qid": 6036, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 9], "B": [6, -2]}, "answer": {"point": [4.5, 3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, 9), B=(6, -2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06036_center.png", "im_dots_path": "/images/task_06036_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [4.5, 3.5]}, "choices": null, "image_choices": null}
+{"qid": 6037, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [4, 1], "B": [-7, 10]}, "answer": {"point": [-1.5, 5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(4, 1), B=(-7, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06037_center.png", "im_dots_path": "/images/task_06037_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.5, 5.5]}, "choices": null, "image_choices": null}
+{"qid": 6038, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, -10], "B": [6, 0]}, "answer": {"point": [6.5, -5.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, -10), B=(6, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06038_center.png", "im_dots_path": "/images/task_06038_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.5, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6039, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, 4], "B": [2, 5]}, "answer": {"point": [-3.5, 4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, 4), B=(2, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06039_center.png", "im_dots_path": "/images/task_06039_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.5, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 6040, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, -4], "B": [-6, 2]}, "answer": {"point": [0.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, -4), B=(-6, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06040_center.png", "im_dots_path": "/images/task_06040_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [0.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6041, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -7], "B": [-4, -2]}, "answer": {"point": [0.5, -4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, -7), B=(-4, -2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06041_center.png", "im_dots_path": "/images/task_06041_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [0.5, -4.5]}, "choices": null, "image_choices": null}
+{"qid": 6042, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -9], "B": [-6, 2]}, "answer": {"point": [-5.5, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, -9), B=(-6, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06042_center.png", "im_dots_path": "/images/task_06042_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6043, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 5], "B": [3, 4]}, "answer": {"point": [3.0, 4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, 5), B=(3, 4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06043_center.png", "im_dots_path": "/images/task_06043_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.0, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 6044, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, 8], "B": [-4, 7]}, "answer": {"point": [1.5, 7.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, 8), B=(-4, 7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06044_center.png", "im_dots_path": "/images/task_06044_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.5, 7.5]}, "choices": null, "image_choices": null}
+{"qid": 6045, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 8], "B": [-6, -10]}, "answer": {"point": [2.0, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, 8), B=(-6, -10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06045_center.png", "im_dots_path": "/images/task_06045_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.0, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6046, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, 4], "B": [-10, 4]}, "answer": {"point": [-8.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-6, 4), B=(-10, 4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06046_center.png", "im_dots_path": "/images/task_06046_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-8.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 6047, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -7], "B": [2, 5]}, "answer": {"point": [-0.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, -7), B=(2, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06047_center.png", "im_dots_path": "/images/task_06047_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-0.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6048, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 5], "B": [-3, -6]}, "answer": {"point": [-3.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, 5), B=(-3, -6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06048_center.png", "im_dots_path": "/images/task_06048_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6049, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [8, 0], "B": [0, 2]}, "answer": {"point": [4.0, 1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(8, 0), B=(0, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06049_center.png", "im_dots_path": "/images/task_06049_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [4.0, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 6050, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, -2], "B": [-9, 10]}, "answer": {"point": [-3.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, -2), B=(-9, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06050_center.png", "im_dots_path": "/images/task_06050_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 6051, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, 9], "B": [7, -9]}, "answer": {"point": [7.0, 0.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, 9), B=(7, -9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06051_center.png", "im_dots_path": "/images/task_06051_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.0, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 6052, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 0], "B": [-7, -4]}, "answer": {"point": [-2.0, -2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, 0), B=(-7, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06052_center.png", "im_dots_path": "/images/task_06052_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.0, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 6053, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -1], "B": [8, -4]}, "answer": {"point": [5.0, -2.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(2, -1), B=(8, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06053_center.png", "im_dots_path": "/images/task_06053_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [5.0, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 6054, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 6], "B": [10, 10]}, "answer": {"point": [6.5, 8.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, 6), B=(10, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06054_center.png", "im_dots_path": "/images/task_06054_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.5, 8.0]}, "choices": null, "image_choices": null}
+{"qid": 6055, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [9, -6], "B": [10, 10]}, "answer": {"point": [9.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(9, -6), B=(10, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06055_center.png", "im_dots_path": "/images/task_06055_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [9.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6056, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, 6], "B": [-5, -3]}, "answer": {"point": [-7.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, 6), B=(-5, -3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06056_center.png", "im_dots_path": "/images/task_06056_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-7.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6057, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -10], "B": [9, 3]}, "answer": {"point": [6.5, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(4, -10), B=(9, 3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06057_center.png", "im_dots_path": "/images/task_06057_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.5, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6058, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, 0], "B": [6, 3]}, "answer": {"point": [8.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, 0), B=(6, 3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06058_center.png", "im_dots_path": "/images/task_06058_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [8.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6059, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -5], "B": [-7, 6]}, "answer": {"point": [1.5, 0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -5), B=(-7, 6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06059_center.png", "im_dots_path": "/images/task_06059_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.5, 0.5]}, "choices": null, "image_choices": null}
+{"qid": 6060, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [6, -9], "B": [5, -9]}, "answer": {"point": [5.5, -9.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(6, -9), B=(5, -9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06060_center.png", "im_dots_path": "/images/task_06060_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [5.5, -9.0]}, "choices": null, "image_choices": null}
+{"qid": 6061, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 8], "B": [-10, -10]}, "answer": {"point": [-7.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 8), B=(-10, -10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06061_center.png", "im_dots_path": "/images/task_06061_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-7.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6062, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, 5], "B": [7, 4]}, "answer": {"point": [0.0, 4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-7, 5), B=(7, 4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06062_center.png", "im_dots_path": "/images/task_06062_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [0.0, 4.5]}, "choices": null, "image_choices": null}
+{"qid": 6063, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [9, -6], "B": [6, -6]}, "answer": {"point": [7.5, -6.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(9, -6), B=(6, -6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06063_center.png", "im_dots_path": "/images/task_06063_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.5, -6.0]}, "choices": null, "image_choices": null}
+{"qid": 6064, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -10], "B": [-3, 1]}, "answer": {"point": [-6.0, -4.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, -10), B=(-3, 1). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06064_center.png", "im_dots_path": "/images/task_06064_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-6.0, -4.5]}, "choices": null, "image_choices": null}
+{"qid": 6065, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -5], "B": [3, -6]}, "answer": {"point": [6.5, -5.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -5), B=(3, -6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06065_center.png", "im_dots_path": "/images/task_06065_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.5, -5.5]}, "choices": null, "image_choices": null}
+{"qid": 6066, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, -6], "B": [5, -6]}, "answer": {"point": [6.0, -6.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, -6), B=(5, -6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06066_center.png", "im_dots_path": "/images/task_06066_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [6.0, -6.0]}, "choices": null, "image_choices": null}
+{"qid": 6067, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-8, -4], "B": [-3, 6]}, "answer": {"point": [-5.5, 1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-8, -4), B=(-3, 6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06067_center.png", "im_dots_path": "/images/task_06067_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, 1.0]}, "choices": null, "image_choices": null}
+{"qid": 6068, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -1], "B": [-5, 5]}, "answer": {"point": [-1.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(2, -1), B=(-5, 5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06068_center.png", "im_dots_path": "/images/task_06068_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6069, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, -4], "B": [4, 8]}, "answer": {"point": [3.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, -4), B=(4, 8). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06069_center.png", "im_dots_path": "/images/task_06069_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6070, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, -6], "B": [2, 10]}, "answer": {"point": [2.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, -6), B=(2, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06070_center.png", "im_dots_path": "/images/task_06070_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6071, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [2, -4], "B": [8, -3]}, "answer": {"point": [5.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(2, -4), B=(8, -3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06071_center.png", "im_dots_path": "/images/task_06071_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [5.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6072, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, -2], "B": [-9, -5]}, "answer": {"point": [-3.0, -3.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, -2), B=(-9, -5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06072_center.png", "im_dots_path": "/images/task_06072_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.0, -3.5]}, "choices": null, "image_choices": null}
+{"qid": 6073, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -7], "B": [4, -5]}, "answer": {"point": [0.5, -6.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, -7), B=(4, -5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06073_center.png", "im_dots_path": "/images/task_06073_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [0.5, -6.0]}, "choices": null, "image_choices": null}
+{"qid": 6074, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -10], "B": [0, -6]}, "answer": {"point": [-2.5, -8.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, -10), B=(0, -6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06074_center.png", "im_dots_path": "/images/task_06074_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, -8.0]}, "choices": null, "image_choices": null}
+{"qid": 6075, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, -4], "B": [7, -10]}, "answer": {"point": [2.0, -7.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, -4), B=(7, -10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06075_center.png", "im_dots_path": "/images/task_06075_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.0, -7.0]}, "choices": null, "image_choices": null}
+{"qid": 6076, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -7], "B": [5, 2]}, "answer": {"point": [7.5, -2.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -7), B=(5, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06076_center.png", "im_dots_path": "/images/task_06076_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.5, -2.5]}, "choices": null, "image_choices": null}
+{"qid": 6077, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-6, 3], "B": [5, -3]}, "answer": {"point": [-0.5, 0.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-6, 3), B=(5, -3). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06077_center.png", "im_dots_path": "/images/task_06077_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-0.5, 0.0]}, "choices": null, "image_choices": null}
+{"qid": 6078, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -10], "B": [4, -4]}, "answer": {"point": [7.0, -7.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -10), B=(4, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06078_center.png", "im_dots_path": "/images/task_06078_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.0, -7.0]}, "choices": null, "image_choices": null}
+{"qid": 6079, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-1, -2], "B": [-5, 1]}, "answer": {"point": [-3.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-1, -2), B=(-5, 1). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06079_center.png", "im_dots_path": "/images/task_06079_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-3.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6080, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -1], "B": [1, 9]}, "answer": {"point": [3.0, 4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, -1), B=(1, 9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06080_center.png", "im_dots_path": "/images/task_06080_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.0, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 6081, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [4, -6], "B": [-1, 0]}, "answer": {"point": [1.5, -3.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(4, -6), B=(-1, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06081_center.png", "im_dots_path": "/images/task_06081_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.5, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 6082, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, -9], "B": [6, 7]}, "answer": {"point": [-1.5, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, -9), B=(6, 7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06082_center.png", "im_dots_path": "/images/task_06082_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.5, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6083, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, -10], "B": [-6, 9]}, "answer": {"point": [-5.5, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, -10), B=(-6, 9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06083_center.png", "im_dots_path": "/images/task_06083_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-5.5, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6084, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-7, 2], "B": [-1, 10]}, "answer": {"point": [-4.0, 6.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-7, 2), B=(-1, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06084_center.png", "im_dots_path": "/images/task_06084_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-4.0, 6.0]}, "choices": null, "image_choices": null}
+{"qid": 6085, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, 1], "B": [-10, -9]}, "answer": {"point": [-2.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, 1), B=(-10, -9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06085_center.png", "im_dots_path": "/images/task_06085_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 6086, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-9, 1], "B": [-5, -2]}, "answer": {"point": [-7.0, -0.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-9, 1), B=(-5, -2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06086_center.png", "im_dots_path": "/images/task_06086_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-7.0, -0.5]}, "choices": null, "image_choices": null}
+{"qid": 6087, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [7, 8], "B": [0, 0]}, "answer": {"point": [3.5, 4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(7, 8), B=(0, 0). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06087_center.png", "im_dots_path": "/images/task_06087_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [3.5, 4.0]}, "choices": null, "image_choices": null}
+{"qid": 6088, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [10, -6], "B": [5, 2]}, "answer": {"point": [7.5, -2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(10, -6), B=(5, 2). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06088_center.png", "im_dots_path": "/images/task_06088_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [7.5, -2.0]}, "choices": null, "image_choices": null}
+{"qid": 6089, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [0, 2], "B": [-4, -8]}, "answer": {"point": [-2.0, -3.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(0, 2), B=(-4, -8). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06089_center.png", "im_dots_path": "/images/task_06089_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.0, -3.0]}, "choices": null, "image_choices": null}
+{"qid": 6090, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-2, 7], "B": [-3, -4]}, "answer": {"point": [-2.5, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-2, 7), B=(-3, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06090_center.png", "im_dots_path": "/images/task_06090_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6091, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [3, 7], "B": [-1, 6]}, "answer": {"point": [1.0, 6.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(3, 7), B=(-1, 6). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06091_center.png", "im_dots_path": "/images/task_06091_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.0, 6.5]}, "choices": null, "image_choices": null}
+{"qid": 6092, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 10], "B": [8, -4]}, "answer": {"point": [2.5, 3.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, 10), B=(8, -4). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06092_center.png", "im_dots_path": "/images/task_06092_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [2.5, 3.0]}, "choices": null, "image_choices": null}
+{"qid": 6093, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 1], "B": [-10, -9]}, "answer": {"point": [-7.5, -4.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 1), B=(-10, -9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06093_center.png", "im_dots_path": "/images/task_06093_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-7.5, -4.0]}, "choices": null, "image_choices": null}
+{"qid": 6094, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-5, 5], "B": [-3, -7]}, "answer": {"point": [-4.0, -1.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-5, 5), B=(-3, -7). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06094_center.png", "im_dots_path": "/images/task_06094_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-4.0, -1.0]}, "choices": null, "image_choices": null}
+{"qid": 6095, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -9], "B": [-10, -1]}, "answer": {"point": [-2.5, -5.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, -9), B=(-10, -1). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06095_center.png", "im_dots_path": "/images/task_06095_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-2.5, -5.0]}, "choices": null, "image_choices": null}
+{"qid": 6096, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [2, 9], "B": [-3, -5]}, "answer": {"point": [-0.5, 2.0]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(2, 9), B=(-3, -5). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06096_center.png", "im_dots_path": "/images/task_06096_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-0.5, 2.0]}, "choices": null, "image_choices": null}
+{"qid": 6097, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-10, -7], "B": [8, 10]}, "answer": {"point": [-1.0, 1.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-10, -7), B=(8, 10). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06097_center.png", "im_dots_path": "/images/task_06097_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [-1.0, 1.5]}, "choices": null, "image_choices": null}
+{"qid": 6098, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [-3, 10], "B": [5, 9]}, "answer": {"point": [1.0, 9.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(-3, 10), B=(5, 9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06098_center.png", "im_dots_path": "/images/task_06098_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.0, 9.5]}, "choices": null, "image_choices": null}
+{"qid": 6099, "type": "numeric", "category_id": 60, "category": "Elementary calculations", "difficulty": 1, "schema_type": "point", "points": {"A": [5, -4], "B": [-3, 9]}, "answer": {"point": [1.0, 2.5]}, "modality": "image_text", "system_prompt": "You are a helpful assistant with expertise in basic geometry. Given two points A and B, compute the coordinates of the center of segment AB.", "question": "Points A=(5, -4), B=(-3, 9). Find the midpoint M of segment AB.", "im_path": "/images_full/task_06099_center.png", "im_dots_path": "/images/task_06099_center.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image to compute the requested result.", "image_question": "Refer to the input image. Tell the coordinates of the midpoint M of segment AB.", "image_answer": {"point": [1.0, 2.5]}, "choices": null, "image_choices": null}

elementary_calculations/segment_length/segment_length_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 7100, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-9, -4], "B": [-5, 7]}, "answer": 11.704699910719626, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, -4), B=(-5, 7). What is the length of segment AB?", "im_path": "/images_full/task_07100_length.png", "im_dots_path": "/images/task_07100_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 11.704699910719626, "choices": null, "image_choices": null}
+{"qid": 7101, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [8, -1], "B": [9, 9]}, "answer": 10.04987562112089, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -1), B=(9, 9). What is the length of segment AB?", "im_path": "/images_full/task_07101_length.png", "im_dots_path": "/images/task_07101_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 10.04987562112089, "choices": null, "image_choices": null}
+{"qid": 7102, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, -4], "B": [-2, -1]}, "answer": 5.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -4), B=(-2, -1). What is the length of segment AB?", "im_path": "/images_full/task_07102_length.png", "im_dots_path": "/images/task_07102_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 5.0, "choices": null, "image_choices": null}
+{"qid": 7103, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, 8], "B": [-4, -5]}, "answer": 16.401219466856727, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 8), B=(-4, -5). What is the length of segment AB?", "im_path": "/images_full/task_07103_length.png", "im_dots_path": "/images/task_07103_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 16.401219466856727, "choices": null, "image_choices": null}
+{"qid": 7104, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [4, 9], "B": [10, -7]}, "answer": 17.08800749063506, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 9), B=(10, -7). What is the length of segment AB?", "im_path": "/images_full/task_07104_length.png", "im_dots_path": "/images/task_07104_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 17.08800749063506, "choices": null, "image_choices": null}
+{"qid": 7105, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, -4], "B": [6, -10]}, "answer": 6.708203932499369, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -4), B=(6, -10). What is the length of segment AB?", "im_path": "/images_full/task_07105_length.png", "im_dots_path": "/images/task_07105_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 6.708203932499369, "choices": null, "image_choices": null}
+{"qid": 7106, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-2, -2], "B": [8, -2]}, "answer": 10.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, -2), B=(8, -2). What is the length of segment AB?", "im_path": "/images_full/task_07106_length.png", "im_dots_path": "/images/task_07106_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 10.0, "choices": null, "image_choices": null}
+{"qid": 7107, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, -8], "B": [0, -9]}, "answer": 9.055385138137417, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, -8), B=(0, -9). What is the length of segment AB?", "im_path": "/images_full/task_07107_length.png", "im_dots_path": "/images/task_07107_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 9.055385138137417, "choices": null, "image_choices": null}
+{"qid": 7108, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [6, -2], "B": [-8, -7]}, "answer": 14.866068747318506, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -2), B=(-8, -7). What is the length of segment AB?", "im_path": "/images_full/task_07108_length.png", "im_dots_path": "/images/task_07108_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 14.866068747318506, "choices": null, "image_choices": null}
+{"qid": 7109, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 4], "B": [4, 8]}, "answer": 5.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 4), B=(4, 8). What is the length of segment AB?", "im_path": "/images_full/task_07109_length.png", "im_dots_path": "/images/task_07109_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 5.0, "choices": null, "image_choices": null}
+{"qid": 7110, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [2, -8], "B": [5, 2]}, "answer": 10.44030650891055, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -8), B=(5, 2). What is the length of segment AB?", "im_path": "/images_full/task_07110_length.png", "im_dots_path": "/images/task_07110_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 10.44030650891055, "choices": null, "image_choices": null}
+{"qid": 7111, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-4, -2], "B": [5, 3]}, "answer": 10.295630140987, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -2), B=(5, 3). What is the length of segment AB?", "im_path": "/images_full/task_07111_length.png", "im_dots_path": "/images/task_07111_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 10.295630140987, "choices": null, "image_choices": null}
+{"qid": 7112, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [7, 2], "B": [2, -1]}, "answer": 5.830951894845301, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, 2), B=(2, -1). What is the length of segment AB?", "im_path": "/images_full/task_07112_length.png", "im_dots_path": "/images/task_07112_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 5.830951894845301, "choices": null, "image_choices": null}
+{"qid": 7113, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, -8], "B": [0, -4]}, "answer": 4.123105625617661, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -8), B=(0, -4). What is the length of segment AB?", "im_path": "/images_full/task_07113_length.png", "im_dots_path": "/images/task_07113_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 4.123105625617661, "choices": null, "image_choices": null}
+{"qid": 7114, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, 6], "B": [1, 10]}, "answer": 8.94427190999916, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 6), B=(1, 10). What is the length of segment AB?", "im_path": "/images_full/task_07114_length.png", "im_dots_path": "/images/task_07114_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 8.94427190999916, "choices": null, "image_choices": null}
+{"qid": 7115, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [9, 4], "B": [-4, 4]}, "answer": 13.0, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 4), B=(-4, 4). What is the length of segment AB?", "im_path": "/images_full/task_07115_length.png", "im_dots_path": "/images/task_07115_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 13.0, "choices": null, "image_choices": null}
+{"qid": 7116, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, -7], "B": [-8, 9]}, "answer": 16.278820596099706, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -7), B=(-8, 9). What is the length of segment AB?", "im_path": "/images_full/task_07116_length.png", "im_dots_path": "/images/task_07116_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 16.278820596099706, "choices": null, "image_choices": null}
+{"qid": 7117, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [1, 8], "B": [0, -4]}, "answer": 12.041594578792296, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 8), B=(0, -4). What is the length of segment AB?", "im_path": "/images_full/task_07117_length.png", "im_dots_path": "/images/task_07117_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 12.041594578792296, "choices": null, "image_choices": null}
+{"qid": 7118, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-5, -6], "B": [-3, -4]}, "answer": 2.8284271247461903, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -6), B=(-3, -4). What is the length of segment AB?", "im_path": "/images_full/task_07118_length.png", "im_dots_path": "/images/task_07118_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 2.8284271247461903, "choices": null, "image_choices": null}
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+{"qid": 7199, "type": "numeric", "category_id": 71, "category": "Elementary calculations", "difficulty": 1, "schema_type": "number", "points": {"A": [-6, 5], "B": [-9, -3]}, "answer": 8.54400374531753, "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, 5), B=(-9, -3). What is the length of segment AB?", "im_path": "/images_full/task_07199_length.png", "im_dots_path": "/images/task_07199_length.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. What is the length of segment AB?", "image_answer": 8.54400374531753, "choices": null, "image_choices": null}

geom_transformation/reflection/reflection_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 1000, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -5]}, "answer": {"point": [5, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01000_reflection.png", "im_dots_path": "/images/task_01000_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 5]}, "choices": null, "image_choices": null}
+{"qid": 1001, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -7]}, "answer": {"point": [-6, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01001_reflection.png", "im_dots_path": "/images/task_01001_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-6, -7]}, "choices": null, "image_choices": null}
+{"qid": 1002, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -1]}, "answer": {"point": [-4, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01002_reflection.png", "im_dots_path": "/images/task_01002_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 1]}, "choices": null, "image_choices": null}
+{"qid": 1003, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 1]}, "answer": {"point": [10, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01003_reflection.png", "im_dots_path": "/images/task_01003_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -1]}, "choices": null, "image_choices": null}
+{"qid": 1004, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -4]}, "answer": {"point": [6, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01004_reflection.png", "im_dots_path": "/images/task_01004_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -4]}, "choices": null, "image_choices": null}
+{"qid": 1005, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -8]}, "answer": {"point": [1, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01005_reflection.png", "im_dots_path": "/images/task_01005_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -8]}, "choices": null, "image_choices": null}
+{"qid": 1006, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -5]}, "answer": {"point": [1, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01006_reflection.png", "im_dots_path": "/images/task_01006_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, 5]}, "choices": null, "image_choices": null}
+{"qid": 1007, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 9]}, "answer": {"point": [4, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01007_reflection.png", "im_dots_path": "/images/task_01007_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -9]}, "choices": null, "image_choices": null}
+{"qid": 1008, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 6]}, "answer": {"point": [-1, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01008_reflection.png", "im_dots_path": "/images/task_01008_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-1, 6]}, "choices": null, "image_choices": null}
+{"qid": 1009, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 4]}, "answer": {"point": [3, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01009_reflection.png", "im_dots_path": "/images/task_01009_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [3, 4]}, "choices": null, "image_choices": null}
+{"qid": 1010, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -5]}, "answer": {"point": [-2, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01010_reflection.png", "im_dots_path": "/images/task_01010_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, -5]}, "choices": null, "image_choices": null}
+{"qid": 1011, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, 8]}, "answer": {"point": [-4, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01011_reflection.png", "im_dots_path": "/images/task_01011_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -8]}, "choices": null, "image_choices": null}
+{"qid": 1012, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -7]}, "answer": {"point": [10, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01012_reflection.png", "im_dots_path": "/images/task_01012_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 7]}, "choices": null, "image_choices": null}
+{"qid": 1013, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -3]}, "answer": {"point": [8, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01013_reflection.png", "im_dots_path": "/images/task_01013_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 3]}, "choices": null, "image_choices": null}
+{"qid": 1014, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, -5]}, "answer": {"point": [7, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01014_reflection.png", "im_dots_path": "/images/task_01014_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [7, 5]}, "choices": null, "image_choices": null}
+{"qid": 1015, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 6]}, "answer": {"point": [10, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01015_reflection.png", "im_dots_path": "/images/task_01015_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -6]}, "choices": null, "image_choices": null}
+{"qid": 1016, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 5]}, "answer": {"point": [2, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01016_reflection.png", "im_dots_path": "/images/task_01016_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -5]}, "choices": null, "image_choices": null}
+{"qid": 1017, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 2]}, "answer": {"point": [-3, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01017_reflection.png", "im_dots_path": "/images/task_01017_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 2]}, "choices": null, "image_choices": null}
+{"qid": 1018, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -5]}, "answer": {"point": [4, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01018_reflection.png", "im_dots_path": "/images/task_01018_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -5]}, "choices": null, "image_choices": null}
+{"qid": 1019, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 6]}, "answer": {"point": [-9, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01019_reflection.png", "im_dots_path": "/images/task_01019_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 6]}, "choices": null, "image_choices": null}
+{"qid": 1020, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -10]}, "answer": {"point": [6, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01020_reflection.png", "im_dots_path": "/images/task_01020_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 10]}, "choices": null, "image_choices": null}
+{"qid": 1021, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -10]}, "answer": {"point": [8, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01021_reflection.png", "im_dots_path": "/images/task_01021_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 10]}, "choices": null, "image_choices": null}
+{"qid": 1022, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -6]}, "answer": {"point": [-4, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01022_reflection.png", "im_dots_path": "/images/task_01022_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 6]}, "choices": null, "image_choices": null}
+{"qid": 1023, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, 10]}, "answer": {"point": [9, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, 10) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01023_reflection.png", "im_dots_path": "/images/task_01023_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, 10]}, "choices": null, "image_choices": null}
+{"qid": 1024, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -6]}, "answer": {"point": [-8, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01024_reflection.png", "im_dots_path": "/images/task_01024_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, 6]}, "choices": null, "image_choices": null}
+{"qid": 1025, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, -9]}, "answer": {"point": [0, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(0, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01025_reflection.png", "im_dots_path": "/images/task_01025_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [0, 9]}, "choices": null, "image_choices": null}
+{"qid": 1026, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 1]}, "answer": {"point": [-7, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01026_reflection.png", "im_dots_path": "/images/task_01026_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, 1]}, "choices": null, "image_choices": null}
+{"qid": 1027, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -10]}, "answer": {"point": [-3, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01027_reflection.png", "im_dots_path": "/images/task_01027_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 10]}, "choices": null, "image_choices": null}
+{"qid": 1028, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -7]}, "answer": {"point": [1, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01028_reflection.png", "im_dots_path": "/images/task_01028_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -7]}, "choices": null, "image_choices": null}
+{"qid": 1029, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 7]}, "answer": {"point": [-1, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01029_reflection.png", "im_dots_path": "/images/task_01029_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-1, 7]}, "choices": null, "image_choices": null}
+{"qid": 1030, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -7]}, "answer": {"point": [1, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01030_reflection.png", "im_dots_path": "/images/task_01030_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -7]}, "choices": null, "image_choices": null}
+{"qid": 1031, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -3]}, "answer": {"point": [10, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01031_reflection.png", "im_dots_path": "/images/task_01031_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -3]}, "choices": null, "image_choices": null}
+{"qid": 1032, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 2]}, "answer": {"point": [5, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 2) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01032_reflection.png", "im_dots_path": "/images/task_01032_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -2]}, "choices": null, "image_choices": null}
+{"qid": 1033, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -4]}, "answer": {"point": [-6, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -4) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01033_reflection.png", "im_dots_path": "/images/task_01033_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-6, -4]}, "choices": null, "image_choices": null}
+{"qid": 1034, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 3]}, "answer": {"point": [9, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01034_reflection.png", "im_dots_path": "/images/task_01034_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, -3]}, "choices": null, "image_choices": null}
+{"qid": 1035, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 6]}, "answer": {"point": [5, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01035_reflection.png", "im_dots_path": "/images/task_01035_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 6]}, "choices": null, "image_choices": null}
+{"qid": 1036, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -5]}, "answer": {"point": [4, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01036_reflection.png", "im_dots_path": "/images/task_01036_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, 5]}, "choices": null, "image_choices": null}
+{"qid": 1037, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -6]}, "answer": {"point": [-5, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01037_reflection.png", "im_dots_path": "/images/task_01037_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 6]}, "choices": null, "image_choices": null}
+{"qid": 1038, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 3]}, "answer": {"point": [8, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01038_reflection.png", "im_dots_path": "/images/task_01038_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -3]}, "choices": null, "image_choices": null}
+{"qid": 1039, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, -8]}, "answer": {"point": [-3, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01039_reflection.png", "im_dots_path": "/images/task_01039_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, -8]}, "choices": null, "image_choices": null}
+{"qid": 1040, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 10]}, "answer": {"point": [3, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01040_reflection.png", "im_dots_path": "/images/task_01040_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [3, -10]}, "choices": null, "image_choices": null}
+{"qid": 1041, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -2]}, "answer": {"point": [6, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -2) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01041_reflection.png", "im_dots_path": "/images/task_01041_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 2]}, "choices": null, "image_choices": null}
+{"qid": 1042, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 4]}, "answer": {"point": [-8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01042_reflection.png", "im_dots_path": "/images/task_01042_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, -4]}, "choices": null, "image_choices": null}
+{"qid": 1043, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -8]}, "answer": {"point": [2, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01043_reflection.png", "im_dots_path": "/images/task_01043_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -8]}, "choices": null, "image_choices": null}
+{"qid": 1044, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -3]}, "answer": {"point": [2, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01044_reflection.png", "im_dots_path": "/images/task_01044_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, 3]}, "choices": null, "image_choices": null}
+{"qid": 1045, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -10]}, "answer": {"point": [5, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -10) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01045_reflection.png", "im_dots_path": "/images/task_01045_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -10]}, "choices": null, "image_choices": null}
+{"qid": 1046, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -10]}, "answer": {"point": [5, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01046_reflection.png", "im_dots_path": "/images/task_01046_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 10]}, "choices": null, "image_choices": null}
+{"qid": 1047, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -9]}, "answer": {"point": [10, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01047_reflection.png", "im_dots_path": "/images/task_01047_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 9]}, "choices": null, "image_choices": null}
+{"qid": 1048, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 5]}, "answer": {"point": [8, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 5) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01048_reflection.png", "im_dots_path": "/images/task_01048_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -5]}, "choices": null, "image_choices": null}
+{"qid": 1049, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, -7]}, "answer": {"point": [-9, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01049_reflection.png", "im_dots_path": "/images/task_01049_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 7]}, "choices": null, "image_choices": null}
+{"qid": 1050, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 8]}, "answer": {"point": [6, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01050_reflection.png", "im_dots_path": "/images/task_01050_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 8]}, "choices": null, "image_choices": null}
+{"qid": 1051, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -9]}, "answer": {"point": [6, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01051_reflection.png", "im_dots_path": "/images/task_01051_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 9]}, "choices": null, "image_choices": null}
+{"qid": 1052, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, 8]}, "answer": {"point": [6, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01052_reflection.png", "im_dots_path": "/images/task_01052_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -8]}, "choices": null, "image_choices": null}
+{"qid": 1053, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -4]}, "answer": {"point": [-3, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01053_reflection.png", "im_dots_path": "/images/task_01053_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 4]}, "choices": null, "image_choices": null}
+{"qid": 1054, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 8]}, "answer": {"point": [2, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01054_reflection.png", "im_dots_path": "/images/task_01054_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, -8]}, "choices": null, "image_choices": null}
+{"qid": 1055, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -1]}, "answer": {"point": [-3, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01055_reflection.png", "im_dots_path": "/images/task_01055_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 1]}, "choices": null, "image_choices": null}
+{"qid": 1056, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -5]}, "answer": {"point": [1, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01056_reflection.png", "im_dots_path": "/images/task_01056_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -5]}, "choices": null, "image_choices": null}
+{"qid": 1057, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 3]}, "answer": {"point": [-3, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01057_reflection.png", "im_dots_path": "/images/task_01057_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, -3]}, "choices": null, "image_choices": null}
+{"qid": 1058, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 6]}, "answer": {"point": [1, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01058_reflection.png", "im_dots_path": "/images/task_01058_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [1, -6]}, "choices": null, "image_choices": null}
+{"qid": 1059, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 10]}, "answer": {"point": [10, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01059_reflection.png", "im_dots_path": "/images/task_01059_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, -10]}, "choices": null, "image_choices": null}
+{"qid": 1060, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 3]}, "answer": {"point": [7, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01060_reflection.png", "im_dots_path": "/images/task_01060_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [7, -3]}, "choices": null, "image_choices": null}
+{"qid": 1061, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -3]}, "answer": {"point": [-10, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01061_reflection.png", "im_dots_path": "/images/task_01061_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, 3]}, "choices": null, "image_choices": null}
+{"qid": 1062, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -8]}, "answer": {"point": [10, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01062_reflection.png", "im_dots_path": "/images/task_01062_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 8]}, "choices": null, "image_choices": null}
+{"qid": 1063, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -7]}, "answer": {"point": [-10, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01063_reflection.png", "im_dots_path": "/images/task_01063_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, 7]}, "choices": null, "image_choices": null}
+{"qid": 1064, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, -8]}, "answer": {"point": [-9, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01064_reflection.png", "im_dots_path": "/images/task_01064_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, -8]}, "choices": null, "image_choices": null}
+{"qid": 1065, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -4]}, "answer": {"point": [-2, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01065_reflection.png", "im_dots_path": "/images/task_01065_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 4]}, "choices": null, "image_choices": null}
+{"qid": 1066, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 6]}, "answer": {"point": [-2, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01066_reflection.png", "im_dots_path": "/images/task_01066_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 6]}, "choices": null, "image_choices": null}
+{"qid": 1067, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01067_reflection.png", "im_dots_path": "/images/task_01067_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
+{"qid": 1068, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -5]}, "answer": {"point": [6, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01068_reflection.png", "im_dots_path": "/images/task_01068_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, -5]}, "choices": null, "image_choices": null}
+{"qid": 1069, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 4]}, "answer": {"point": [-10, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 4) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01069_reflection.png", "im_dots_path": "/images/task_01069_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -4]}, "choices": null, "image_choices": null}
+{"qid": 1070, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -10]}, "answer": {"point": [10, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01070_reflection.png", "im_dots_path": "/images/task_01070_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 10]}, "choices": null, "image_choices": null}
+{"qid": 1071, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 5]}, "answer": {"point": [-4, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01071_reflection.png", "im_dots_path": "/images/task_01071_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 5]}, "choices": null, "image_choices": null}
+{"qid": 1072, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, -7]}, "answer": {"point": [-7, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, -7) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01072_reflection.png", "im_dots_path": "/images/task_01072_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, 7]}, "choices": null, "image_choices": null}
+{"qid": 1073, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 6]}, "answer": {"point": [9, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01073_reflection.png", "im_dots_path": "/images/task_01073_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, -6]}, "choices": null, "image_choices": null}
+{"qid": 1074, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -1]}, "answer": {"point": [-8, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01074_reflection.png", "im_dots_path": "/images/task_01074_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-8, -1]}, "choices": null, "image_choices": null}
+{"qid": 1075, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, 2]}, "answer": {"point": [9, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01075_reflection.png", "im_dots_path": "/images/task_01075_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [9, 2]}, "choices": null, "image_choices": null}
+{"qid": 1076, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 9]}, "answer": {"point": [-10, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01076_reflection.png", "im_dots_path": "/images/task_01076_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -9]}, "choices": null, "image_choices": null}
+{"qid": 1077, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 3]}, "answer": {"point": [-3, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01077_reflection.png", "im_dots_path": "/images/task_01077_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 3]}, "choices": null, "image_choices": null}
+{"qid": 1078, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01078_reflection.png", "im_dots_path": "/images/task_01078_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
+{"qid": 1079, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -8]}, "answer": {"point": [5, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -8) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01079_reflection.png", "im_dots_path": "/images/task_01079_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, -8]}, "choices": null, "image_choices": null}
+{"qid": 1080, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -3]}, "answer": {"point": [8, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -3) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01080_reflection.png", "im_dots_path": "/images/task_01080_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 3]}, "choices": null, "image_choices": null}
+{"qid": 1081, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 1]}, "answer": {"point": [0, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 1) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01081_reflection.png", "im_dots_path": "/images/task_01081_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [0, 1]}, "choices": null, "image_choices": null}
+{"qid": 1082, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 3]}, "answer": {"point": [-5, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01082_reflection.png", "im_dots_path": "/images/task_01082_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 3]}, "choices": null, "image_choices": null}
+{"qid": 1083, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, -3]}, "answer": {"point": [-7, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(7, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01083_reflection.png", "im_dots_path": "/images/task_01083_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-7, -3]}, "choices": null, "image_choices": null}
+{"qid": 1084, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 3]}, "answer": {"point": [10, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01084_reflection.png", "im_dots_path": "/images/task_01084_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [10, 3]}, "choices": null, "image_choices": null}
+{"qid": 1085, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -8]}, "answer": {"point": [2, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -8) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01085_reflection.png", "im_dots_path": "/images/task_01085_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [2, 8]}, "choices": null, "image_choices": null}
+{"qid": 1086, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 5]}, "answer": {"point": [5, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 5) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01086_reflection.png", "im_dots_path": "/images/task_01086_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [5, 5]}, "choices": null, "image_choices": null}
+{"qid": 1087, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -3]}, "answer": {"point": [-4, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -3) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01087_reflection.png", "im_dots_path": "/images/task_01087_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -3]}, "choices": null, "image_choices": null}
+{"qid": 1088, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 6]}, "answer": {"point": [8, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01088_reflection.png", "im_dots_path": "/images/task_01088_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, 6]}, "choices": null, "image_choices": null}
+{"qid": 1089, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, -1]}, "answer": {"point": [-3, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01089_reflection.png", "im_dots_path": "/images/task_01089_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-3, 1]}, "choices": null, "image_choices": null}
+{"qid": 1090, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, -7]}, "answer": {"point": [-4, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01090_reflection.png", "im_dots_path": "/images/task_01090_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, -7]}, "choices": null, "image_choices": null}
+{"qid": 1091, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -6]}, "answer": {"point": [-4, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01091_reflection.png", "im_dots_path": "/images/task_01091_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-4, 6]}, "choices": null, "image_choices": null}
+{"qid": 1092, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 6]}, "answer": {"point": [4, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 6) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01092_reflection.png", "im_dots_path": "/images/task_01092_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [4, -6]}, "choices": null, "image_choices": null}
+{"qid": 1093, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 10]}, "answer": {"point": [8, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 10) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01093_reflection.png", "im_dots_path": "/images/task_01093_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -10]}, "choices": null, "image_choices": null}
+{"qid": 1094, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 2]}, "answer": {"point": [-5, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01094_reflection.png", "im_dots_path": "/images/task_01094_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-5, 2]}, "choices": null, "image_choices": null}
+{"qid": 1095, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -2]}, "answer": {"point": [8, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -2) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01095_reflection.png", "im_dots_path": "/images/task_01095_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [8, -2]}, "choices": null, "image_choices": null}
+{"qid": 1096, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, -1]}, "answer": {"point": [-9, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, -1) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01096_reflection.png", "im_dots_path": "/images/task_01096_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-9, 1]}, "choices": null, "image_choices": null}
+{"qid": 1097, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -7]}, "answer": {"point": [-10, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -7) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01097_reflection.png", "im_dots_path": "/images/task_01097_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-10, -7]}, "choices": null, "image_choices": null}
+{"qid": 1098, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -9]}, "answer": {"point": [-2, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -9) reflected across the X-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01098_reflection.png", "im_dots_path": "/images/task_01098_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [-2, 9]}, "choices": null, "image_choices": null}
+{"qid": 1099, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given point P and axis (X or Y), compute the reflection P'. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 6) reflected across the Y-axis. What are the coordinates of P'?", "im_path": "/images_full/task_01099_reflection.png", "im_dots_path": "/images/task_01099_reflection_dots.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning.", "image_question": "Refer to the input image. What is the reflected point P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}

geom_transformation/rotation/rotation_point_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 1000, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 3]}, "answer": {"point": [-3, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 3) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01000_rotate_90.png", "im_dots_path": "/images/task_01000_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-3, 0]}, "choices": null, "image_choices": null}
+{"qid": 1001, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, 1]}, "answer": {"point": [-1, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, 1) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01001_rotate_90.png", "im_dots_path": "/images/task_01001_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, -9]}, "choices": null, "image_choices": null}
+{"qid": 1002, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 6]}, "answer": {"point": [-5, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01002_rotate_180.png", "im_dots_path": "/images/task_01002_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, -6]}, "choices": null, "image_choices": null}
+{"qid": 1003, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 7]}, "answer": {"point": [-7, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01003_rotate_90.png", "im_dots_path": "/images/task_01003_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, 1]}, "choices": null, "image_choices": null}
+{"qid": 1004, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 7]}, "answer": {"point": [-10, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 7) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01004_rotate_180.png", "im_dots_path": "/images/task_01004_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-10, -7]}, "choices": null, "image_choices": null}
+{"qid": 1005, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -6]}, "answer": {"point": [-2, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01005_rotate_180.png", "im_dots_path": "/images/task_01005_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-2, 6]}, "choices": null, "image_choices": null}
+{"qid": 1006, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -5]}, "answer": {"point": [5, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -5) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01006_rotate_90.png", "im_dots_path": "/images/task_01006_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [5, 8]}, "choices": null, "image_choices": null}
+{"qid": 1007, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, 7]}, "answer": {"point": [-1, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, 7) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01007_rotate_180.png", "im_dots_path": "/images/task_01007_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, -7]}, "choices": null, "image_choices": null}
+{"qid": 1008, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -2]}, "answer": {"point": [2, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -2) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01008_rotate_180.png", "im_dots_path": "/images/task_01008_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [2, 2]}, "choices": null, "image_choices": null}
+{"qid": 1009, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 6]}, "answer": {"point": [-5, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01009_rotate_180.png", "im_dots_path": "/images/task_01009_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, -6]}, "choices": null, "image_choices": null}
+{"qid": 1010, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 6]}, "answer": {"point": [-6, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 6) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01010_rotate_90.png", "im_dots_path": "/images/task_01010_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-6, 9]}, "choices": null, "image_choices": null}
+{"qid": 1011, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 6]}, "answer": {"point": [0, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01011_rotate_180.png", "im_dots_path": "/images/task_01011_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [0, -6]}, "choices": null, "image_choices": null}
+{"qid": 1012, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -8]}, "answer": {"point": [8, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01012_rotate_90.png", "im_dots_path": "/images/task_01012_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -8]}, "choices": null, "image_choices": null}
+{"qid": 1013, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 6]}, "answer": {"point": [-6, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 6) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01013_rotate_90.png", "im_dots_path": "/images/task_01013_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-6, -5]}, "choices": null, "image_choices": null}
+{"qid": 1014, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 7]}, "answer": {"point": [-7, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01014_rotate_90.png", "im_dots_path": "/images/task_01014_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, -8]}, "choices": null, "image_choices": null}
+{"qid": 1015, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 10]}, "answer": {"point": [-9, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 10) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01015_rotate_180.png", "im_dots_path": "/images/task_01015_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, -10]}, "choices": null, "image_choices": null}
+{"qid": 1016, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, 0]}, "answer": {"point": [0, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, 0) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01016_rotate_90.png", "im_dots_path": "/images/task_01016_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [0, -5]}, "choices": null, "image_choices": null}
+{"qid": 1017, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, -5]}, "answer": {"point": [-9, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, -5) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01017_rotate_180.png", "im_dots_path": "/images/task_01017_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, 5]}, "choices": null, "image_choices": null}
+{"qid": 1018, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -4]}, "answer": {"point": [4, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -4) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01018_rotate_90.png", "im_dots_path": "/images/task_01018_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [4, -5]}, "choices": null, "image_choices": null}
+{"qid": 1019, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 0]}, "answer": {"point": [-5, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 0) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01019_rotate_180.png", "im_dots_path": "/images/task_01019_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, 0]}, "choices": null, "image_choices": null}
+{"qid": 1020, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 9]}, "answer": {"point": [-5, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01020_rotate_180.png", "im_dots_path": "/images/task_01020_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, -9]}, "choices": null, "image_choices": null}
+{"qid": 1021, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, -2]}, "answer": {"point": [7, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, -2) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01021_rotate_180.png", "im_dots_path": "/images/task_01021_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, 2]}, "choices": null, "image_choices": null}
+{"qid": 1022, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -7]}, "answer": {"point": [7, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01022_rotate_90.png", "im_dots_path": "/images/task_01022_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, -6]}, "choices": null, "image_choices": null}
+{"qid": 1023, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 3]}, "answer": {"point": [-3, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 3) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01023_rotate_90.png", "im_dots_path": "/images/task_01023_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-3, 0]}, "choices": null, "image_choices": null}
+{"qid": 1024, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01024_rotate_180.png", "im_dots_path": "/images/task_01024_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
+{"qid": 1025, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, 7]}, "answer": {"point": [-7, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, 7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01025_rotate_90.png", "im_dots_path": "/images/task_01025_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, 5]}, "choices": null, "image_choices": null}
+{"qid": 1026, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 9]}, "answer": {"point": [-9, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 9) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01026_rotate_90.png", "im_dots_path": "/images/task_01026_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, -6]}, "choices": null, "image_choices": null}
+{"qid": 1027, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -4]}, "answer": {"point": [-8, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01027_rotate_180.png", "im_dots_path": "/images/task_01027_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, 4]}, "choices": null, "image_choices": null}
+{"qid": 1028, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 3]}, "answer": {"point": [-3, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 3) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01028_rotate_90.png", "im_dots_path": "/images/task_01028_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-3, -3]}, "choices": null, "image_choices": null}
+{"qid": 1029, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, -8]}, "answer": {"point": [8, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(6, -8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01029_rotate_90.png", "im_dots_path": "/images/task_01029_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, 6]}, "choices": null, "image_choices": null}
+{"qid": 1030, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -6]}, "answer": {"point": [6, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01030_rotate_180.png", "im_dots_path": "/images/task_01030_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 6]}, "choices": null, "image_choices": null}
+{"qid": 1031, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, 4]}, "answer": {"point": [2, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01031_rotate_180.png", "im_dots_path": "/images/task_01031_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [2, -4]}, "choices": null, "image_choices": null}
+{"qid": 1032, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 4]}, "answer": {"point": [8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01032_rotate_180.png", "im_dots_path": "/images/task_01032_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -4]}, "choices": null, "image_choices": null}
+{"qid": 1033, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, 0]}, "answer": {"point": [0, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(6, 0) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01033_rotate_90.png", "im_dots_path": "/images/task_01033_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [0, 6]}, "choices": null, "image_choices": null}
+{"qid": 1034, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, 8]}, "answer": {"point": [-8, -6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, 8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01034_rotate_90.png", "im_dots_path": "/images/task_01034_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, -6]}, "choices": null, "image_choices": null}
+{"qid": 1035, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 0]}, "answer": {"point": [0, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 0) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01035_rotate_90.png", "im_dots_path": "/images/task_01035_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [0, 2]}, "choices": null, "image_choices": null}
+{"qid": 1036, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 2]}, "answer": {"point": [10, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 2) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01036_rotate_180.png", "im_dots_path": "/images/task_01036_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [10, -2]}, "choices": null, "image_choices": null}
+{"qid": 1037, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -7]}, "answer": {"point": [2, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -7) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01037_rotate_180.png", "im_dots_path": "/images/task_01037_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [2, 7]}, "choices": null, "image_choices": null}
+{"qid": 1038, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -6]}, "answer": {"point": [6, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -6) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01038_rotate_90.png", "im_dots_path": "/images/task_01038_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 5]}, "choices": null, "image_choices": null}
+{"qid": 1039, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -10]}, "answer": {"point": [10, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -10) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01039_rotate_90.png", "im_dots_path": "/images/task_01039_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [10, -5]}, "choices": null, "image_choices": null}
+{"qid": 1040, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, -6]}, "answer": {"point": [7, 6]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, -6) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01040_rotate_180.png", "im_dots_path": "/images/task_01040_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, 6]}, "choices": null, "image_choices": null}
+{"qid": 1041, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 9]}, "answer": {"point": [-9, -9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01041_rotate_180.png", "im_dots_path": "/images/task_01041_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, -9]}, "choices": null, "image_choices": null}
+{"qid": 1042, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -8]}, "answer": {"point": [6, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -8) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01042_rotate_180.png", "im_dots_path": "/images/task_01042_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 8]}, "choices": null, "image_choices": null}
+{"qid": 1043, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, 8]}, "answer": {"point": [4, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, 8) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01043_rotate_180.png", "im_dots_path": "/images/task_01043_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [4, -8]}, "choices": null, "image_choices": null}
+{"qid": 1044, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 4]}, "answer": {"point": [-8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01044_rotate_180.png", "im_dots_path": "/images/task_01044_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, -4]}, "choices": null, "image_choices": null}
+{"qid": 1045, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -9]}, "answer": {"point": [5, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01045_rotate_180.png", "im_dots_path": "/images/task_01045_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [5, 9]}, "choices": null, "image_choices": null}
+{"qid": 1046, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 10]}, "answer": {"point": [-10, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 10) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01046_rotate_90.png", "im_dots_path": "/images/task_01046_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-10, 2]}, "choices": null, "image_choices": null}
+{"qid": 1047, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 5]}, "answer": {"point": [-5, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 5) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01047_rotate_90.png", "im_dots_path": "/images/task_01047_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, -3]}, "choices": null, "image_choices": null}
+{"qid": 1048, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -8]}, "answer": {"point": [8, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01048_rotate_90.png", "im_dots_path": "/images/task_01048_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, 10]}, "choices": null, "image_choices": null}
+{"qid": 1049, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 7]}, "answer": {"point": [-7, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01049_rotate_90.png", "im_dots_path": "/images/task_01049_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, 0]}, "choices": null, "image_choices": null}
+{"qid": 1050, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 8]}, "answer": {"point": [-8, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01050_rotate_90.png", "im_dots_path": "/images/task_01050_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, 10]}, "choices": null, "image_choices": null}
+{"qid": 1051, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, -10]}, "answer": {"point": [10, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, -10) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01051_rotate_180.png", "im_dots_path": "/images/task_01051_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [10, 10]}, "choices": null, "image_choices": null}
+{"qid": 1052, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, 1]}, "answer": {"point": [-6, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(6, 1) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01052_rotate_180.png", "im_dots_path": "/images/task_01052_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-6, -1]}, "choices": null, "image_choices": null}
+{"qid": 1053, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -9]}, "answer": {"point": [-5, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01053_rotate_180.png", "im_dots_path": "/images/task_01053_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, 9]}, "choices": null, "image_choices": null}
+{"qid": 1054, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 8]}, "answer": {"point": [-7, -8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 8) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01054_rotate_180.png", "im_dots_path": "/images/task_01054_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, -8]}, "choices": null, "image_choices": null}
+{"qid": 1055, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-6, -8]}, "answer": {"point": [6, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-6, -8) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01055_rotate_180.png", "im_dots_path": "/images/task_01055_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 8]}, "choices": null, "image_choices": null}
+{"qid": 1056, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, 3]}, "answer": {"point": [-3, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(3, 3) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01056_rotate_90.png", "im_dots_path": "/images/task_01056_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-3, 3]}, "choices": null, "image_choices": null}
+{"qid": 1057, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, -9]}, "answer": {"point": [2, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, -9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01057_rotate_180.png", "im_dots_path": "/images/task_01057_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [2, 9]}, "choices": null, "image_choices": null}
+{"qid": 1058, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 4]}, "answer": {"point": [-9, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01058_rotate_180.png", "im_dots_path": "/images/task_01058_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, -4]}, "choices": null, "image_choices": null}
+{"qid": 1059, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, -10]}, "answer": {"point": [10, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, -10) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01059_rotate_90.png", "im_dots_path": "/images/task_01059_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [10, 2]}, "choices": null, "image_choices": null}
+{"qid": 1060, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, -1]}, "answer": {"point": [1, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, -1) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01060_rotate_90.png", "im_dots_path": "/images/task_01060_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [1, 9]}, "choices": null, "image_choices": null}
+{"qid": 1061, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-3, 4]}, "answer": {"point": [3, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-3, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01061_rotate_180.png", "im_dots_path": "/images/task_01061_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [3, -4]}, "choices": null, "image_choices": null}
+{"qid": 1062, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, 8]}, "answer": {"point": [-8, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, 8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01062_rotate_90.png", "im_dots_path": "/images/task_01062_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, -7]}, "choices": null, "image_choices": null}
+{"qid": 1063, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, -7]}, "answer": {"point": [7, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, -7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01063_rotate_90.png", "im_dots_path": "/images/task_01063_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, -1]}, "choices": null, "image_choices": null}
+{"qid": 1064, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -4]}, "answer": {"point": [-1, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01064_rotate_180.png", "im_dots_path": "/images/task_01064_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, 4]}, "choices": null, "image_choices": null}
+{"qid": 1065, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, 5]}, "answer": {"point": [-5, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, 5) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01065_rotate_90.png", "im_dots_path": "/images/task_01065_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, -4]}, "choices": null, "image_choices": null}
+{"qid": 1066, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, -7]}, "answer": {"point": [7, 3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(3, -7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01066_rotate_90.png", "im_dots_path": "/images/task_01066_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, 3]}, "choices": null, "image_choices": null}
+{"qid": 1067, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-1, 3]}, "answer": {"point": [1, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-1, 3) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01067_rotate_180.png", "im_dots_path": "/images/task_01067_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [1, -3]}, "choices": null, "image_choices": null}
+{"qid": 1068, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, -7]}, "answer": {"point": [7, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(8, -7) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01068_rotate_90.png", "im_dots_path": "/images/task_01068_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, 8]}, "choices": null, "image_choices": null}
+{"qid": 1069, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, 2]}, "answer": {"point": [-10, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(10, 2) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01069_rotate_180.png", "im_dots_path": "/images/task_01069_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-10, -2]}, "choices": null, "image_choices": null}
+{"qid": 1070, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 4]}, "answer": {"point": [-2, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01070_rotate_180.png", "im_dots_path": "/images/task_01070_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-2, -4]}, "choices": null, "image_choices": null}
+{"qid": 1071, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 1]}, "answer": {"point": [8, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 1) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01071_rotate_180.png", "im_dots_path": "/images/task_01071_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -1]}, "choices": null, "image_choices": null}
+{"qid": 1072, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 0]}, "answer": {"point": [0, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 0) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01072_rotate_90.png", "im_dots_path": "/images/task_01072_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [0, 9]}, "choices": null, "image_choices": null}
+{"qid": 1073, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [10, -4]}, "answer": {"point": [-10, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(10, -4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01073_rotate_180.png", "im_dots_path": "/images/task_01073_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-10, 4]}, "choices": null, "image_choices": null}
+{"qid": 1074, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [8, 3]}, "answer": {"point": [-8, -3]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(8, 3) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01074_rotate_180.png", "im_dots_path": "/images/task_01074_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, -3]}, "choices": null, "image_choices": null}
+{"qid": 1075, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -6]}, "answer": {"point": [6, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -6) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01075_rotate_90.png", "im_dots_path": "/images/task_01075_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [6, 1]}, "choices": null, "image_choices": null}
+{"qid": 1076, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, 8]}, "answer": {"point": [-8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, 8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01076_rotate_90.png", "im_dots_path": "/images/task_01076_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-8, -4]}, "choices": null, "image_choices": null}
+{"qid": 1077, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-5, -8]}, "answer": {"point": [8, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-5, -8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01077_rotate_90.png", "im_dots_path": "/images/task_01077_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -5]}, "choices": null, "image_choices": null}
+{"qid": 1078, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 1]}, "answer": {"point": [8, -1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 1) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01078_rotate_180.png", "im_dots_path": "/images/task_01078_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -1]}, "choices": null, "image_choices": null}
+{"qid": 1079, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -10]}, "answer": {"point": [-5, 10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -10) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01079_rotate_180.png", "im_dots_path": "/images/task_01079_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-5, 10]}, "choices": null, "image_choices": null}
+{"qid": 1080, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [7, 4]}, "answer": {"point": [-7, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(7, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01080_rotate_180.png", "im_dots_path": "/images/task_01080_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-7, -4]}, "choices": null, "image_choices": null}
+{"qid": 1081, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [5, -8]}, "answer": {"point": [8, 5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(5, -8) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01081_rotate_90.png", "im_dots_path": "/images/task_01081_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, 5]}, "choices": null, "image_choices": null}
+{"qid": 1082, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-2, 1]}, "answer": {"point": [-1, -2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-2, 1) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01082_rotate_90.png", "im_dots_path": "/images/task_01082_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, -2]}, "choices": null, "image_choices": null}
+{"qid": 1083, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, -7]}, "answer": {"point": [-9, 7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, -7) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01083_rotate_180.png", "im_dots_path": "/images/task_01083_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, 7]}, "choices": null, "image_choices": null}
+{"qid": 1084, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-9, -9]}, "answer": {"point": [9, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-9, -9) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01084_rotate_180.png", "im_dots_path": "/images/task_01084_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [9, 9]}, "choices": null, "image_choices": null}
+{"qid": 1085, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 1]}, "answer": {"point": [-1, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 1) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01085_rotate_90.png", "im_dots_path": "/images/task_01085_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, 0]}, "choices": null, "image_choices": null}
+{"qid": 1086, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, -8]}, "answer": {"point": [8, 8]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, -8) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01086_rotate_180.png", "im_dots_path": "/images/task_01086_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, 8]}, "choices": null, "image_choices": null}
+{"qid": 1087, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 5]}, "answer": {"point": [-2, -5]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 5) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01087_rotate_180.png", "im_dots_path": "/images/task_01087_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-2, -5]}, "choices": null, "image_choices": null}
+{"qid": 1088, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [4, 9]}, "answer": {"point": [-9, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(4, 9) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01088_rotate_90.png", "im_dots_path": "/images/task_01088_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, 4]}, "choices": null, "image_choices": null}
+{"qid": 1089, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-8, 4]}, "answer": {"point": [8, -4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-8, 4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01089_rotate_180.png", "im_dots_path": "/images/task_01089_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [8, -4]}, "choices": null, "image_choices": null}
+{"qid": 1090, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-10, 1]}, "answer": {"point": [-1, -10]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-10, 1) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01090_rotate_90.png", "im_dots_path": "/images/task_01090_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-1, -10]}, "choices": null, "image_choices": null}
+{"qid": 1091, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -5]}, "answer": {"point": [5, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -5) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01091_rotate_90.png", "im_dots_path": "/images/task_01091_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [5, 1]}, "choices": null, "image_choices": null}
+{"qid": 1092, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [6, 0]}, "answer": {"point": [-6, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(6, 0) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01092_rotate_180.png", "im_dots_path": "/images/task_01092_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-6, 0]}, "choices": null, "image_choices": null}
+{"qid": 1093, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-4, -4]}, "answer": {"point": [4, 4]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-4, -4) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01093_rotate_180.png", "im_dots_path": "/images/task_01093_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [4, 4]}, "choices": null, "image_choices": null}
+{"qid": 1094, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [-7, 7]}, "answer": {"point": [7, -7]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(-7, 7) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01094_rotate_180.png", "im_dots_path": "/images/task_01094_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [7, -7]}, "choices": null, "image_choices": null}
+{"qid": 1095, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [2, 2]}, "answer": {"point": [-2, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(2, 2) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01095_rotate_90.png", "im_dots_path": "/images/task_01095_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-2, 2]}, "choices": null, "image_choices": null}
+{"qid": 1096, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [0, 6]}, "answer": {"point": [-6, 0]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(0, 6) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01096_rotate_90.png", "im_dots_path": "/images/task_01096_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-6, 0]}, "choices": null, "image_choices": null}
+{"qid": 1097, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [9, 9]}, "answer": {"point": [-9, 9]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(9, 9) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01097_rotate_90.png", "im_dots_path": "/images/task_01097_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-9, 9]}, "choices": null, "image_choices": null}
+{"qid": 1098, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [1, -2]}, "answer": {"point": [2, 1]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(1, -2) rotated by 90\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01098_rotate_90.png", "im_dots_path": "/images/task_01098_rotate_90.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [2, 1]}, "choices": null, "image_choices": null}
+{"qid": 1099, "type": "numeric", "category_id": 10, "category": "Geometric transformations", "difficulty": 1, "schema_type": "point", "points": {"P": [3, -2]}, "answer": {"point": [-3, 2]}, "modality": "image_text", "system_prompt": "You are a concise geometry expert. Given a point P and angle (90\u00b0 or 180\u00b0), rotate P CCW about the origin. Return JSON {'point':[x,y]}.", "question": "Point P=(3, -2) rotated by 180\u00b0 about the origin. What is P'?", "im_path": "/images_full/task_01099_rotate_180.png", "im_dots_path": "/images/task_01099_rotate_180.png", "image_system_prompt": "You are a precise geometry expert with visual reasoning. Analyze the image and return JSON {'point':[x,y]}.", "image_question": "Refer to the input image. What are the coordinates of P'?", "image_answer": {"point": [-3, 2]}, "choices": null, "image_choices": null}

parallelism/parallel_lines_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 12000, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 9], "B": [10, -9], "C": [10, -9], "D": [0, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(7, 9),B=(10, -9); C-D endpoints C=(10, -9),D=(0, -9). Are they parallel?", "im_path": "/images_full/task_12000_parallel.png", "im_dots_path": "/images/task_12000_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12001, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -9], "B": [-4, -3], "C": [-8, 3], "D": [-12, 15]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-2, -9),B=(-4, -3); C-D endpoints C=(-8, 3),D=(-12, 15). Are they parallel?", "im_path": "/images_full/task_12001_parallel.png", "im_dots_path": "/images/task_12001_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12002, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 5], "B": [3, 2], "C": [-5, -1], "D": [-3, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(4, 5),B=(3, 2); C-D endpoints C=(-5, -1),D=(-3, 5). Are they parallel?", "im_path": "/images_full/task_12002_parallel.png", "im_dots_path": "/images/task_12002_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12003, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 10], "B": [9, 4], "C": [7, -1], "D": [-6, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(10, 10),B=(9, 4); C-D endpoints C=(7, -1),D=(-6, -5). Are they parallel?", "im_path": "/images_full/task_12003_parallel.png", "im_dots_path": "/images/task_12003_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12004, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -5], "B": [10, 7], "C": [-2, -9], "D": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(8, -5),B=(10, 7); C-D endpoints C=(-2, -9),D=(-8, 4). Are they parallel?", "im_path": "/images_full/task_12004_parallel.png", "im_dots_path": "/images/task_12004_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12005, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -5], "B": [-8, -1], "C": [3, -2], "D": [-11, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-1, -5),B=(-8, -1); C-D endpoints C=(3, -2),D=(-11, 6). Are they parallel?", "im_path": "/images_full/task_12005_parallel.png", "im_dots_path": "/images/task_12005_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12006, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 10], "B": [-8, -5], "C": [-6, -4], "D": [39, 71]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(1, 10),B=(-8, -5); C-D endpoints C=(-6, -4),D=(39, 71). Are they parallel?", "im_path": "/images_full/task_12006_parallel.png", "im_dots_path": "/images/task_12006_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12007, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -1], "B": [9, -8], "C": [-6, 0], "D": [-10, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(9, -1),B=(9, -8); C-D endpoints C=(-6, 0),D=(-10, 8). Are they parallel?", "im_path": "/images_full/task_12007_parallel.png", "im_dots_path": "/images/task_12007_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12008, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 3], "B": [6, 9], "C": [-1, 0], "D": [-22, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-1, 3),B=(6, 9); C-D endpoints C=(-1, 0),D=(-22, -18). Are they parallel?", "im_path": "/images_full/task_12008_parallel.png", "im_dots_path": "/images/task_12008_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12009, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 9], "B": [9, -1], "C": [-4, 7], "D": [2, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-4, 9),B=(9, -1); C-D endpoints C=(-4, 7),D=(2, 1). Are they parallel?", "im_path": "/images_full/task_12009_parallel.png", "im_dots_path": "/images/task_12009_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12010, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -3], "B": [-2, -5], "C": [-4, 5], "D": [5, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(4, -3),B=(-2, -5); C-D endpoints C=(-4, 5),D=(5, 3). Are they parallel?", "im_path": "/images_full/task_12010_parallel.png", "im_dots_path": "/images/task_12010_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12011, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 6], "B": [6, 0], "C": [0, -8], "D": [60, -32]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-9, 6),B=(6, 0); C-D endpoints C=(0, -8),D=(60, -32). Are they parallel?", "im_path": "/images_full/task_12011_parallel.png", "im_dots_path": "/images/task_12011_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12012, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 3], "B": [-8, 10], "C": [-5, -1], "D": [7, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-4, 3),B=(-8, 10); C-D endpoints C=(-5, -1),D=(7, -2). Are they parallel?", "im_path": "/images_full/task_12012_parallel.png", "im_dots_path": "/images/task_12012_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12013, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 6], "B": [-6, -7], "C": [1, 3], "D": [3, 16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-4, 6),B=(-6, -7); C-D endpoints C=(1, 3),D=(3, 16). Are they parallel?", "im_path": "/images_full/task_12013_parallel.png", "im_dots_path": "/images/task_12013_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12014, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -6], "B": [1, 6], "C": [-7, 3], "D": [-6, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-4, -6),B=(1, 6); C-D endpoints C=(-7, 3),D=(-6, -6). Are they parallel?", "im_path": "/images_full/task_12014_parallel.png", "im_dots_path": "/images/task_12014_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12015, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -7], "B": [6, -5], "C": [3, 4], "D": [-2, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(3, -7),B=(6, -5); C-D endpoints C=(3, 4),D=(-2, 4). Are they parallel?", "im_path": "/images_full/task_12015_parallel.png", "im_dots_path": "/images/task_12015_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12016, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [2, 10], "C": [-10, 4], "D": [-8, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-10, 5),B=(2, 10); C-D endpoints C=(-10, 4),D=(-8, 8). Are they parallel?", "im_path": "/images_full/task_12016_parallel.png", "im_dots_path": "/images/task_12016_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12017, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -9], "B": [7, -8], "C": [-5, 6], "D": [-11, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(1, -9),B=(7, -8); C-D endpoints C=(-5, 6),D=(-11, 5). Are they parallel?", "im_path": "/images_full/task_12017_parallel.png", "im_dots_path": "/images/task_12017_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12018, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 10], "B": [-3, 8], "C": [-7, 2], "D": [8, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-8, 10),B=(-3, 8); C-D endpoints C=(-7, 2),D=(8, -6). Are they parallel?", "im_path": "/images_full/task_12018_parallel.png", "im_dots_path": "/images/task_12018_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12019, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 4], "B": [-7, -6], "C": [7, -7], "D": [4, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(5, 4),B=(-7, -6); C-D endpoints C=(7, -7),D=(4, 8). Are they parallel?", "im_path": "/images_full/task_12019_parallel.png", "im_dots_path": "/images/task_12019_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12020, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -8], "B": [4, -1], "C": [4, -8], "D": [0, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-8, -8),B=(4, -1); C-D endpoints C=(4, -8),D=(0, -2). Are they parallel?", "im_path": "/images_full/task_12020_parallel.png", "im_dots_path": "/images/task_12020_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12021, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 7], "B": [-3, -9], "C": [-1, -3], "D": [-9, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(0, 7),B=(-3, -9); C-D endpoints C=(-1, -3),D=(-9, 7). Are they parallel?", "im_path": "/images_full/task_12021_parallel.png", "im_dots_path": "/images/task_12021_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12022, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -3], "B": [-7, -1], "C": [6, 3], "D": [-6, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(0, -3),B=(-7, -1); C-D endpoints C=(6, 3),D=(-6, -5). Are they parallel?", "im_path": "/images_full/task_12022_parallel.png", "im_dots_path": "/images/task_12022_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
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+{"qid": 12027, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 5], "B": [9, 1], "C": [6, 9], "D": [6, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-6, 5),B=(9, 1); C-D endpoints C=(6, 9),D=(6, -7). Are they parallel?", "im_path": "/images_full/task_12027_parallel.png", "im_dots_path": "/images/task_12027_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
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+{"qid": 12029, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -3], "B": [1, 3], "C": [0, 4], "D": [-5, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-6, -3),B=(1, 3); C-D endpoints C=(0, 4),D=(-5, -3). Are they parallel?", "im_path": "/images_full/task_12029_parallel.png", "im_dots_path": "/images/task_12029_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12030, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -3], "B": [2, 1], "C": [8, 6], "D": [13, 26]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(1, -3),B=(2, 1); C-D endpoints C=(8, 6),D=(13, 26). Are they parallel?", "im_path": "/images_full/task_12030_parallel.png", "im_dots_path": "/images/task_12030_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
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+{"qid": 12032, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 4], "B": [-2, -6], "C": [9, -10], "D": [-46, -60]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(9, 4),B=(-2, -6); C-D endpoints C=(9, -10),D=(-46, -60). Are they parallel?", "im_path": "/images_full/task_12032_parallel.png", "im_dots_path": "/images/task_12032_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12033, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -6], "B": [2, -8], "C": [-9, 8], "D": [-33, 14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-6, -6),B=(2, -8); C-D endpoints C=(-9, 8),D=(-33, 14). Are they parallel?", "im_path": "/images_full/task_12033_parallel.png", "im_dots_path": "/images/task_12033_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
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+{"qid": 12037, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 10], "B": [-5, 8], "C": [-5, -8], "D": [-50, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(4, 10),B=(-5, 8); C-D endpoints C=(-5, -8),D=(-50, -18). Are they parallel?", "im_path": "/images_full/task_12037_parallel.png", "im_dots_path": "/images/task_12037_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
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+{"qid": 12040, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 8], "B": [9, 7], "C": [-8, -1], "D": [-4, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(4, 8),B=(9, 7); C-D endpoints C=(-8, -1),D=(-4, 6). Are they parallel?", "im_path": "/images_full/task_12040_parallel.png", "im_dots_path": "/images/task_12040_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12041, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 9], "B": [5, 0], "C": [9, 6], "D": [9, 33]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(5, 9),B=(5, 0); C-D endpoints C=(9, 6),D=(9, 33). Are they parallel?", "im_path": "/images_full/task_12041_parallel.png", "im_dots_path": "/images/task_12041_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12042, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 2], "B": [-1, -3], "C": [4, -2], "D": [4, 13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-1, 2),B=(-1, -3); C-D endpoints C=(4, -2),D=(4, 13). Are they parallel?", "im_path": "/images_full/task_12042_parallel.png", "im_dots_path": "/images/task_12042_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12043, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [2, 0], "C": [-9, 9], "D": [-3, 18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(4, 3),B=(2, 0); C-D endpoints C=(-9, 9),D=(-3, 18). Are they parallel?", "im_path": "/images_full/task_12043_parallel.png", "im_dots_path": "/images/task_12043_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12044, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 7], "B": [2, 0], "C": [1, 2], "D": [-5, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(6, 7),B=(2, 0); C-D endpoints C=(1, 2),D=(-5, 3). Are they parallel?", "im_path": "/images_full/task_12044_parallel.png", "im_dots_path": "/images/task_12044_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12045, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 2], "B": [8, -9], "C": [2, 0], "D": [-3, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-9, 2),B=(8, -9); C-D endpoints C=(2, 0),D=(-3, 8). Are they parallel?", "im_path": "/images_full/task_12045_parallel.png", "im_dots_path": "/images/task_12045_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
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+{"qid": 12096, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -8], "B": [2, -9], "C": [4, 8], "D": [-29, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-9, -8),B=(2, -9); C-D endpoints C=(4, 8),D=(-29, 11). Are they parallel?", "im_path": "/images_full/task_12096_parallel.png", "im_dots_path": "/images/task_12096_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12097, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -7], "B": [10, -6], "C": [1, -9], "D": [61, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-2, -7),B=(10, -6); C-D endpoints C=(1, -9),D=(61, -4). Are they parallel?", "im_path": "/images_full/task_12097_parallel.png", "im_dots_path": "/images/task_12097_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12098, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -9], "B": [-9, -1], "C": [2, 8], "D": [10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(10, -9),B=(-9, -1); C-D endpoints C=(2, 8),D=(10, 7). Are they parallel?", "im_path": "/images_full/task_12098_parallel.png", "im_dots_path": "/images/task_12098_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12099, "type": "unstable", "category_id": 120, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -10], "B": [3, 9], "C": [3, -1], "D": [-45, -77]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Line AB endpoints A=(-9, -10),B=(3, 9); C-D endpoints C=(3, -1),D=(-45, -77). Are they parallel?", "im_path": "/images_full/task_12099_parallel.png", "im_dots_path": "/images/task_12099_parallel_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two lines AB and CD parallel?", "image_choices": ["yes", "no"], "image_answer": "yes"}

parallelism_and_perpendicularity/perpendicular/perpendicular_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 12200, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 6], "B": [4, -8], "C": [-1, -9], "D": [13, -14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 6)\u2192B=(4, -8); CD C=(-1, -9)\u2192D=(13, -14). Perpendicular?", "im_path": "/images_full/task_12200_perp.png", "im_dots_path": "/images/task_12200_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12201, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -5], "B": [-8, -2], "C": [-5, 1], "D": [-1, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -5)\u2192B=(-8, -2); CD C=(-5, 1)\u2192D=(-1, -7). Perpendicular?", "im_path": "/images_full/task_12201_perp.png", "im_dots_path": "/images/task_12201_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12202, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -5], "B": [-1, -5], "C": [-7, 4], "D": [10, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -5)\u2192B=(-1, -5); CD C=(-7, 4)\u2192D=(10, 6). Perpendicular?", "im_path": "/images_full/task_12202_perp.png", "im_dots_path": "/images/task_12202_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12203, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -4], "B": [9, 1], "C": [-4, -4], "D": [-9, 13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, -4)\u2192B=(9, 1); CD C=(-4, -4)\u2192D=(-9, 13). Perpendicular?", "im_path": "/images_full/task_12203_perp.png", "im_dots_path": "/images/task_12203_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12204, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 4], "B": [-6, -4], "C": [9, -8], "D": [-9, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, 4)\u2192B=(-6, -4); CD C=(9, -8)\u2192D=(-9, 10). Perpendicular?", "im_path": "/images_full/task_12204_perp.png", "im_dots_path": "/images/task_12204_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12205, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -2], "B": [7, 8], "C": [-5, 6], "D": [-15, 16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, -2)\u2192B=(7, 8); CD C=(-5, 6)\u2192D=(-15, 16). Perpendicular?", "im_path": "/images_full/task_12205_perp.png", "im_dots_path": "/images/task_12205_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12206, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [-8, 5], "C": [2, -8], "D": [1, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 4)\u2192B=(-8, 5); CD C=(2, -8)\u2192D=(1, -18). Perpendicular?", "im_path": "/images_full/task_12206_perp.png", "im_dots_path": "/images/task_12206_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12207, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -2], "B": [9, -5], "C": [-7, -8], "D": [-4, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -2)\u2192B=(9, -5); CD C=(-7, -8)\u2192D=(-4, 7). Perpendicular?", "im_path": "/images_full/task_12207_perp.png", "im_dots_path": "/images/task_12207_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12208, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 9], "B": [-10, -8], "C": [-8, -3], "D": [9, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, 9)\u2192B=(-10, -8); CD C=(-8, -3)\u2192D=(9, -9). Perpendicular?", "im_path": "/images_full/task_12208_perp.png", "im_dots_path": "/images/task_12208_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12209, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -1], "B": [8, -6], "C": [-6, 7], "D": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -1)\u2192B=(8, -6); CD C=(-6, 7)\u2192D=(1, -6). Perpendicular?", "im_path": "/images_full/task_12209_perp.png", "im_dots_path": "/images/task_12209_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12210, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -4], "B": [1, -3], "C": [-2, -1], "D": [-3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -4)\u2192B=(1, -3); CD C=(-2, -1)\u2192D=(-3, 1). Perpendicular?", "im_path": "/images_full/task_12210_perp.png", "im_dots_path": "/images/task_12210_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12211, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 6], "B": [-3, -2], "C": [-7, -2], "D": [-5, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(1, 6)\u2192B=(-3, -2); CD C=(-7, -2)\u2192D=(-5, 5). Perpendicular?", "im_path": "/images_full/task_12211_perp.png", "im_dots_path": "/images/task_12211_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12212, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -5], "B": [-6, 5], "C": [-7, -2], "D": [-17, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, -5)\u2192B=(-6, 5); CD C=(-7, -2)\u2192D=(-17, 1). Perpendicular?", "im_path": "/images_full/task_12212_perp.png", "im_dots_path": "/images/task_12212_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12213, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -5], "B": [1, -10], "C": [-3, -4], "D": [2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, -5)\u2192B=(1, -10); CD C=(-3, -4)\u2192D=(2, 5). Perpendicular?", "im_path": "/images_full/task_12213_perp.png", "im_dots_path": "/images/task_12213_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12214, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 8], "B": [7, 6], "C": [7, -3], "D": [7, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 8)\u2192B=(7, 6); CD C=(7, -3)\u2192D=(7, 7). Perpendicular?", "im_path": "/images_full/task_12214_perp.png", "im_dots_path": "/images/task_12214_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12215, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 0], "B": [2, -10], "C": [5, 10], "D": [-2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 0)\u2192B=(2, -10); CD C=(5, 10)\u2192D=(-2, -2). Perpendicular?", "im_path": "/images_full/task_12215_perp.png", "im_dots_path": "/images/task_12215_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12216, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -3], "B": [4, 2], "C": [-10, -10], "D": [-15, -11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -3)\u2192B=(4, 2); CD C=(-10, -10)\u2192D=(-15, -11). Perpendicular?", "im_path": "/images_full/task_12216_perp.png", "im_dots_path": "/images/task_12216_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12217, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -10], "B": [3, -10], "C": [-4, -5], "D": [6, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -10)\u2192B=(3, -10); CD C=(-4, -5)\u2192D=(6, 5). Perpendicular?", "im_path": "/images_full/task_12217_perp.png", "im_dots_path": "/images/task_12217_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12218, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, -7], "B": [10, 6], "C": [4, -10], "D": [-9, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, -7)\u2192B=(10, 6); CD C=(4, -10)\u2192D=(-9, -3). Perpendicular?", "im_path": "/images_full/task_12218_perp.png", "im_dots_path": "/images/task_12218_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12219, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 0], "B": [3, -2], "C": [-2, -2], "D": [-8, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-7, 0)\u2192B=(3, -2); CD C=(-2, -2)\u2192D=(-8, -5). Perpendicular?", "im_path": "/images_full/task_12219_perp.png", "im_dots_path": "/images/task_12219_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12220, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 10], "B": [-10, 3], "C": [-1, 10], "D": [5, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, 10)\u2192B=(-10, 3); CD C=(-1, 10)\u2192D=(5, 8). Perpendicular?", "im_path": "/images_full/task_12220_perp.png", "im_dots_path": "/images/task_12220_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12221, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 3], "B": [-8, -3], "C": [3, -7], "D": [8, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 3)\u2192B=(-8, -3); CD C=(3, -7)\u2192D=(8, -7). Perpendicular?", "im_path": "/images_full/task_12221_perp.png", "im_dots_path": "/images/task_12221_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12222, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 10], "B": [6, -7], "C": [5, 8], "D": [22, 15]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 10)\u2192B=(6, -7); CD C=(5, 8)\u2192D=(22, 15). Perpendicular?", "im_path": "/images_full/task_12222_perp.png", "im_dots_path": "/images/task_12222_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12223, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -4], "B": [8, 1], "C": [-7, -7], "D": [6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, -4)\u2192B=(8, 1); CD C=(-7, -7)\u2192D=(6, -9). Perpendicular?", "im_path": "/images_full/task_12223_perp.png", "im_dots_path": "/images/task_12223_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12224, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 6], "B": [-5, 8], "C": [2, 4], "D": [0, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 6)\u2192B=(-5, 8); CD C=(2, 4)\u2192D=(0, 5). Perpendicular?", "im_path": "/images_full/task_12224_perp.png", "im_dots_path": "/images/task_12224_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12225, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 9], "B": [4, 1], "C": [-10, -2], "D": [10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 9)\u2192B=(4, 1); CD C=(-10, -2)\u2192D=(10, 7). Perpendicular?", "im_path": "/images_full/task_12225_perp.png", "im_dots_path": "/images/task_12225_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12226, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 0], "B": [7, 10], "C": [7, -10], "D": [-3, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, 0)\u2192B=(7, 10); CD C=(7, -10)\u2192D=(-3, 2). Perpendicular?", "im_path": "/images_full/task_12226_perp.png", "im_dots_path": "/images/task_12226_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12227, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 1], "B": [-10, 8], "C": [-5, 0], "D": [-12, -13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 1)\u2192B=(-10, 8); CD C=(-5, 0)\u2192D=(-12, -13). Perpendicular?", "im_path": "/images_full/task_12227_perp.png", "im_dots_path": "/images/task_12227_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12228, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -8], "B": [-3, 2], "C": [5, -4], "D": [-10, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, -8)\u2192B=(-3, 2); CD C=(5, -4)\u2192D=(-10, -2). Perpendicular?", "im_path": "/images_full/task_12228_perp.png", "im_dots_path": "/images/task_12228_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12229, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [-2, 4], "C": [-9, -8], "D": [8, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 10)\u2192B=(-2, 4); CD C=(-9, -8)\u2192D=(8, -2). Perpendicular?", "im_path": "/images_full/task_12229_perp.png", "im_dots_path": "/images/task_12229_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12230, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 0], "B": [3, -8], "C": [3, 6], "D": [-8, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, 0)\u2192B=(3, -8); CD C=(3, 6)\u2192D=(-8, 6). Perpendicular?", "im_path": "/images_full/task_12230_perp.png", "im_dots_path": "/images/task_12230_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12231, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 9], "B": [8, 3], "C": [-4, -5], "D": [3, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 9)\u2192B=(8, 3); CD C=(-4, -5)\u2192D=(3, -3). Perpendicular?", "im_path": "/images_full/task_12231_perp.png", "im_dots_path": "/images/task_12231_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12232, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -3], "B": [5, 8], "C": [-4, -4], "D": [6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -3)\u2192B=(5, 8); CD C=(-4, -4)\u2192D=(6, -3). Perpendicular?", "im_path": "/images_full/task_12232_perp.png", "im_dots_path": "/images/task_12232_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12233, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 7], "B": [6, -9], "C": [-7, -3], "D": [9, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, 7)\u2192B=(6, -9); CD C=(-7, -3)\u2192D=(9, 5). Perpendicular?", "im_path": "/images_full/task_12233_perp.png", "im_dots_path": "/images/task_12233_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12234, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -6], "B": [-7, -8], "C": [4, 5], "D": [3, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(6, -6)\u2192B=(-7, -8); CD C=(4, 5)\u2192D=(3, 10). Perpendicular?", "im_path": "/images_full/task_12234_perp.png", "im_dots_path": "/images/task_12234_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12235, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -8], "B": [2, -7], "C": [-4, -3], "D": [-5, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -8)\u2192B=(2, -7); CD C=(-4, -3)\u2192D=(-5, -8). Perpendicular?", "im_path": "/images_full/task_12235_perp.png", "im_dots_path": "/images/task_12235_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12236, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -6], "B": [4, -7], "C": [1, -7], "D": [0, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -6)\u2192B=(4, -7); CD C=(1, -7)\u2192D=(0, -2). Perpendicular?", "im_path": "/images_full/task_12236_perp.png", "im_dots_path": "/images/task_12236_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12237, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 6], "B": [-7, -4], "C": [-1, -3], "D": [9, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 6)\u2192B=(-7, -4); CD C=(-1, -3)\u2192D=(9, -1). Perpendicular?", "im_path": "/images_full/task_12237_perp.png", "im_dots_path": "/images/task_12237_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12238, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 5], "B": [0, 5], "C": [-9, 0], "D": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 5)\u2192B=(0, 5); CD C=(-9, 0)\u2192D=(-6, 2). Perpendicular?", "im_path": "/images_full/task_12238_perp.png", "im_dots_path": "/images/task_12238_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12239, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -9], "B": [-6, -3], "C": [-3, -2], "D": [-9, -17]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, -9)\u2192B=(-6, -3); CD C=(-3, -2)\u2192D=(-9, -17). Perpendicular?", "im_path": "/images_full/task_12239_perp.png", "im_dots_path": "/images/task_12239_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12240, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 5], "B": [10, -8], "C": [0, 5], "D": [3, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 5)\u2192B=(10, -8); CD C=(0, 5)\u2192D=(3, 3). Perpendicular?", "im_path": "/images_full/task_12240_perp.png", "im_dots_path": "/images/task_12240_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12241, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, -9], "B": [1, -4], "C": [-2, 6], "D": [5, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, -9)\u2192B=(1, -4); CD C=(-2, 6)\u2192D=(5, 9). Perpendicular?", "im_path": "/images_full/task_12241_perp.png", "im_dots_path": "/images/task_12241_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12242, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 3], "B": [9, 8], "C": [-4, 8], "D": [-1, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, 3)\u2192B=(9, 8); CD C=(-4, 8)\u2192D=(-1, -3). Perpendicular?", "im_path": "/images_full/task_12242_perp.png", "im_dots_path": "/images/task_12242_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12243, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 2], "B": [-9, -9], "C": [1, 4], "D": [12, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-9, 2)\u2192B=(-9, -9); CD C=(1, 4)\u2192D=(12, 4). Perpendicular?", "im_path": "/images_full/task_12243_perp.png", "im_dots_path": "/images/task_12243_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12244, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 5], "B": [0, 10], "C": [1, -5], "D": [-4, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(4, 5)\u2192B=(0, 10); CD C=(1, -5)\u2192D=(-4, -9). Perpendicular?", "im_path": "/images_full/task_12244_perp.png", "im_dots_path": "/images/task_12244_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12245, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 8], "B": [-3, -9], "C": [7, 6], "D": [24, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, 8)\u2192B=(-3, -9); CD C=(7, 6)\u2192D=(24, -2). Perpendicular?", "im_path": "/images_full/task_12245_perp.png", "im_dots_path": "/images/task_12245_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12246, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 3], "B": [9, 6], "C": [8, -2], "D": [0, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, 3)\u2192B=(9, 6); CD C=(8, -2)\u2192D=(0, -10). Perpendicular?", "im_path": "/images_full/task_12246_perp.png", "im_dots_path": "/images/task_12246_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12247, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 3], "B": [9, 4], "C": [-3, -2], "D": [5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 3)\u2192B=(9, 4); CD C=(-3, -2)\u2192D=(5, 1). Perpendicular?", "im_path": "/images_full/task_12247_perp.png", "im_dots_path": "/images/task_12247_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12248, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -7], "B": [-7, 1], "C": [4, -2], "D": [-4, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, -7)\u2192B=(-7, 1); CD C=(4, -2)\u2192D=(-4, 1). Perpendicular?", "im_path": "/images_full/task_12248_perp.png", "im_dots_path": "/images/task_12248_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12249, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 4], "B": [4, -7], "C": [-6, 5], "D": [1, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 4)\u2192B=(4, -7); CD C=(-6, 5)\u2192D=(1, 3). Perpendicular?", "im_path": "/images_full/task_12249_perp.png", "im_dots_path": "/images/task_12249_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12250, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 3], "B": [4, -3], "C": [-10, 0], "D": [-4, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, 3)\u2192B=(4, -3); CD C=(-10, 0)\u2192D=(-4, -4). Perpendicular?", "im_path": "/images_full/task_12250_perp.png", "im_dots_path": "/images/task_12250_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12251, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -5], "B": [-8, 5], "C": [-1, 0], "D": [10, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, -5)\u2192B=(-8, 5); CD C=(-1, 0)\u2192D=(10, 3). Perpendicular?", "im_path": "/images_full/task_12251_perp.png", "im_dots_path": "/images/task_12251_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12252, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 6], "B": [-3, 4], "C": [7, -8], "D": [9, -14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 6)\u2192B=(-3, 4); CD C=(7, -8)\u2192D=(9, -14). Perpendicular?", "im_path": "/images_full/task_12252_perp.png", "im_dots_path": "/images/task_12252_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12253, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -8], "B": [7, 1], "C": [3, 0], "D": [-6, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -8)\u2192B=(7, 1); CD C=(3, 0)\u2192D=(-6, 8). Perpendicular?", "im_path": "/images_full/task_12253_perp.png", "im_dots_path": "/images/task_12253_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12254, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 6], "B": [-8, 1], "C": [-6, 7], "D": [-1, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, 6)\u2192B=(-8, 1); CD C=(-6, 7)\u2192D=(-1, 3). Perpendicular?", "im_path": "/images_full/task_12254_perp.png", "im_dots_path": "/images/task_12254_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12255, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 7], "B": [10, 1], "C": [-2, -1], "D": [10, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 7)\u2192B=(10, 1); CD C=(-2, -1)\u2192D=(10, 9). Perpendicular?", "im_path": "/images_full/task_12255_perp.png", "im_dots_path": "/images/task_12255_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12256, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -9], "B": [-5, -9], "C": [3, 10], "D": [3, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -9)\u2192B=(-5, -9); CD C=(3, 10)\u2192D=(3, 6). Perpendicular?", "im_path": "/images_full/task_12256_perp.png", "im_dots_path": "/images/task_12256_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12257, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -4], "B": [10, 7], "C": [-10, 9], "D": [-21, 19]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -4)\u2192B=(10, 7); CD C=(-10, 9)\u2192D=(-21, 19). Perpendicular?", "im_path": "/images_full/task_12257_perp.png", "im_dots_path": "/images/task_12257_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12258, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 3], "B": [4, 4], "C": [5, 4], "D": [4, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 3)\u2192B=(4, 4); CD C=(5, 4)\u2192D=(4, 9). Perpendicular?", "im_path": "/images_full/task_12258_perp.png", "im_dots_path": "/images/task_12258_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12259, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -6], "B": [7, -8], "C": [1, -1], "D": [3, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, -6)\u2192B=(7, -8); CD C=(1, -1)\u2192D=(3, 7). Perpendicular?", "im_path": "/images_full/task_12259_perp.png", "im_dots_path": "/images/task_12259_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12260, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -2], "B": [2, 0], "C": [-8, -8], "D": [-10, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, -2)\u2192B=(2, 0); CD C=(-8, -8)\u2192D=(-10, -8). Perpendicular?", "im_path": "/images_full/task_12260_perp.png", "im_dots_path": "/images/task_12260_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12261, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -7], "B": [10, 5], "C": [2, -6], "D": [-3, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -7)\u2192B=(10, 5); CD C=(2, -6)\u2192D=(-3, 4). Perpendicular?", "im_path": "/images_full/task_12261_perp.png", "im_dots_path": "/images/task_12261_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12262, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 0], "B": [-1, -9], "C": [5, -10], "D": [3, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, 0)\u2192B=(-1, -9); CD C=(5, -10)\u2192D=(3, 4). Perpendicular?", "im_path": "/images_full/task_12262_perp.png", "im_dots_path": "/images/task_12262_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12263, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [1, -9], "C": [4, -2], "D": [17, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 4)\u2192B=(1, -9); CD C=(4, -2)\u2192D=(17, -3). Perpendicular?", "im_path": "/images_full/task_12263_perp.png", "im_dots_path": "/images/task_12263_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12264, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -7], "B": [6, 8], "C": [-8, -2], "D": [-23, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -7)\u2192B=(6, 8); CD C=(-8, -2)\u2192D=(-23, 6). Perpendicular?", "im_path": "/images_full/task_12264_perp.png", "im_dots_path": "/images/task_12264_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12265, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 10], "B": [9, 3], "C": [-9, 8], "D": [-2, 23]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 10)\u2192B=(9, 3); CD C=(-9, 8)\u2192D=(-2, 23). Perpendicular?", "im_path": "/images_full/task_12265_perp.png", "im_dots_path": "/images/task_12265_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12266, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 2], "B": [-4, -7], "C": [5, 10], "D": [-9, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-8, 2)\u2192B=(-4, -7); CD C=(5, 10)\u2192D=(-9, -7). Perpendicular?", "im_path": "/images_full/task_12266_perp.png", "im_dots_path": "/images/task_12266_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12267, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 10], "B": [-4, 2], "C": [9, -4], "D": [1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 10)\u2192B=(-4, 2); CD C=(9, -4)\u2192D=(1, -6). Perpendicular?", "im_path": "/images_full/task_12267_perp.png", "im_dots_path": "/images/task_12267_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12268, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -10], "B": [-5, 7], "C": [-5, -1], "D": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(1, -10)\u2192B=(-5, 7); CD C=(-5, -1)\u2192D=(-8, 4). Perpendicular?", "im_path": "/images_full/task_12268_perp.png", "im_dots_path": "/images/task_12268_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12269, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, 4], "B": [-4, -6], "C": [10, -10], "D": [5, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-3, 4)\u2192B=(-4, -6); CD C=(10, -10)\u2192D=(5, -6). Perpendicular?", "im_path": "/images_full/task_12269_perp.png", "im_dots_path": "/images/task_12269_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12270, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 10], "B": [9, 7], "C": [4, -9], "D": [-3, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(3, 10)\u2192B=(9, 7); CD C=(4, -9)\u2192D=(-3, -8). Perpendicular?", "im_path": "/images_full/task_12270_perp.png", "im_dots_path": "/images/task_12270_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12271, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -3], "B": [3, -7], "C": [-6, 9], "D": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -3)\u2192B=(3, -7); CD C=(-6, 9)\u2192D=(1, -10). Perpendicular?", "im_path": "/images_full/task_12271_perp.png", "im_dots_path": "/images/task_12271_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12272, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -1], "B": [-3, 6], "C": [-9, -9], "D": [-7, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, -1)\u2192B=(-3, 6); CD C=(-9, -9)\u2192D=(-7, 5). Perpendicular?", "im_path": "/images_full/task_12272_perp.png", "im_dots_path": "/images/task_12272_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12273, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 7], "B": [6, -9], "C": [1, -1], "D": [-5, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 7)\u2192B=(6, -9); CD C=(1, -1)\u2192D=(-5, 5). Perpendicular?", "im_path": "/images_full/task_12273_perp.png", "im_dots_path": "/images/task_12273_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12274, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -8], "B": [-9, 8], "C": [1, -1], "D": [-15, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-5, -8)\u2192B=(-9, 8); CD C=(1, -1)\u2192D=(-15, -5). Perpendicular?", "im_path": "/images_full/task_12274_perp.png", "im_dots_path": "/images/task_12274_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12275, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 1], "B": [-10, 2], "C": [-8, -6], "D": [-5, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 1)\u2192B=(-10, 2); CD C=(-8, -6)\u2192D=(-5, -7). Perpendicular?", "im_path": "/images_full/task_12275_perp.png", "im_dots_path": "/images/task_12275_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12276, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, 0], "B": [6, -5], "C": [-4, -10], "D": [1, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, 0)\u2192B=(6, -5); CD C=(-4, -10)\u2192D=(1, 2). Perpendicular?", "im_path": "/images_full/task_12276_perp.png", "im_dots_path": "/images/task_12276_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12277, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 0], "B": [-9, 9], "C": [1, -9], "D": [-2, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(2, 0)\u2192B=(-9, 9); CD C=(1, -9)\u2192D=(-2, 10). Perpendicular?", "im_path": "/images_full/task_12277_perp.png", "im_dots_path": "/images/task_12277_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12278, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -8], "B": [-5, -8], "C": [4, 4], "D": [8, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -8)\u2192B=(-5, -8); CD C=(4, 4)\u2192D=(8, -1). Perpendicular?", "im_path": "/images_full/task_12278_perp.png", "im_dots_path": "/images/task_12278_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12279, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 1], "B": [0, 4], "C": [8, -4], "D": [5, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-1, 1)\u2192B=(0, 4); CD C=(8, -4)\u2192D=(5, -3). Perpendicular?", "im_path": "/images_full/task_12279_perp.png", "im_dots_path": "/images/task_12279_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12280, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -7], "B": [2, 5], "C": [4, 10], "D": [3, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -7)\u2192B=(2, 5); CD C=(4, 10)\u2192D=(3, 3). Perpendicular?", "im_path": "/images_full/task_12280_perp.png", "im_dots_path": "/images/task_12280_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12281, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -10], "B": [8, 2], "C": [-7, 2], "D": [-8, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(6, -10)\u2192B=(8, 2); CD C=(-7, 2)\u2192D=(-8, 4). Perpendicular?", "im_path": "/images_full/task_12281_perp.png", "im_dots_path": "/images/task_12281_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12282, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 5], "B": [-5, -4], "C": [0, 0], "D": [9, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 5)\u2192B=(-5, -4); CD C=(0, 0)\u2192D=(9, 5). Perpendicular?", "im_path": "/images_full/task_12282_perp.png", "im_dots_path": "/images/task_12282_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12283, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [7, -10], "C": [-9, -2], "D": [2, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, -2)\u2192B=(7, -10); CD C=(-9, -2)\u2192D=(2, -1). Perpendicular?", "im_path": "/images_full/task_12283_perp.png", "im_dots_path": "/images/task_12283_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12284, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 10], "B": [-4, 5], "C": [7, 5], "D": [12, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 10)\u2192B=(-4, 5); CD C=(7, 5)\u2192D=(12, -6). Perpendicular?", "im_path": "/images_full/task_12284_perp.png", "im_dots_path": "/images/task_12284_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12285, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -7], "B": [-5, 4], "C": [-1, -6], "D": [-12, -16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(5, -7)\u2192B=(-5, 4); CD C=(-1, -6)\u2192D=(-12, -16). Perpendicular?", "im_path": "/images_full/task_12285_perp.png", "im_dots_path": "/images/task_12285_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12286, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -5], "B": [-4, -3], "C": [-10, 6], "D": [2, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, -5)\u2192B=(-4, -3); CD C=(-10, 6)\u2192D=(2, -6). Perpendicular?", "im_path": "/images_full/task_12286_perp.png", "im_dots_path": "/images/task_12286_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12287, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, -4], "B": [-8, 10], "C": [3, -1], "D": [-11, -18]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, -4)\u2192B=(-8, 10); CD C=(3, -1)\u2192D=(-11, -18). Perpendicular?", "im_path": "/images_full/task_12287_perp.png", "im_dots_path": "/images/task_12287_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12288, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 6], "B": [4, 0], "C": [2, 7], "D": [8, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(8, 6)\u2192B=(4, 0); CD C=(2, 7)\u2192D=(8, 3). Perpendicular?", "im_path": "/images_full/task_12288_perp.png", "im_dots_path": "/images/task_12288_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12289, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -5], "B": [8, 1], "C": [0, -10], "D": [-6, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-4, -5)\u2192B=(8, 1); CD C=(0, -10)\u2192D=(-6, 2). Perpendicular?", "im_path": "/images_full/task_12289_perp.png", "im_dots_path": "/images/task_12289_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12290, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, 1], "B": [10, 2], "C": [-6, 7], "D": [-7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-10, 1)\u2192B=(10, 2); CD C=(-6, 7)\u2192D=(-7, -9). Perpendicular?", "im_path": "/images_full/task_12290_perp.png", "im_dots_path": "/images/task_12290_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12291, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -10], "B": [-5, -5], "C": [-9, -3], "D": [-14, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-6, -10)\u2192B=(-5, -5); CD C=(-9, -3)\u2192D=(-14, -2). Perpendicular?", "im_path": "/images_full/task_12291_perp.png", "im_dots_path": "/images/task_12291_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12292, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -10], "B": [-8, -4], "C": [2, 7], "D": [0, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-7, -10)\u2192B=(-8, -4); CD C=(2, 7)\u2192D=(0, -8). Perpendicular?", "im_path": "/images_full/task_12292_perp.png", "im_dots_path": "/images/task_12292_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12293, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 1], "B": [-4, 0], "C": [0, 4], "D": [-10, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(9, 1)\u2192B=(-4, 0); CD C=(0, 4)\u2192D=(-10, 10). Perpendicular?", "im_path": "/images_full/task_12293_perp.png", "im_dots_path": "/images/task_12293_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12294, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -5], "B": [3, -2], "C": [-9, -8], "D": [-8, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -5)\u2192B=(3, -2); CD C=(-9, -8)\u2192D=(-8, -6). Perpendicular?", "im_path": "/images_full/task_12294_perp.png", "im_dots_path": "/images/task_12294_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12295, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -7], "B": [9, 10], "C": [7, -4], "D": [-2, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -7)\u2192B=(9, 10); CD C=(7, -4)\u2192D=(-2, 6). Perpendicular?", "im_path": "/images_full/task_12295_perp.png", "im_dots_path": "/images/task_12295_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12296, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 8], "B": [-7, -2], "C": [-3, -10], "D": [5, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(7, 8)\u2192B=(-7, -2); CD C=(-3, -10)\u2192D=(5, 3). Perpendicular?", "im_path": "/images_full/task_12296_perp.png", "im_dots_path": "/images/task_12296_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12297, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, -2], "B": [0, 5], "C": [-5, 7], "D": [-12, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(-2, -2)\u2192B=(0, 5); CD C=(-5, 7)\u2192D=(-12, 9). Perpendicular?", "im_path": "/images_full/task_12297_perp.png", "im_dots_path": "/images/task_12297_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12298, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -10], "B": [-9, -9], "C": [-7, -4], "D": [-9, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(10, -10)\u2192B=(-9, -9); CD C=(-7, -4)\u2192D=(-9, 9). Perpendicular?", "im_path": "/images_full/task_12298_perp.png", "im_dots_path": "/images/task_12298_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12299, "type": "unstable", "category_id": 122, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -4], "B": [8, 2], "C": [-5, 10], "D": [9, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Segment AB A=(0, -4)\u2192B=(8, 2); CD C=(-5, 10)\u2192D=(9, 10). Perpendicular?", "im_path": "/images_full/task_12299_perp.png", "im_dots_path": "/images/task_12299_perp_dots.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are the two segments AB and CD perpendicular?", "image_choices": ["yes", "no"], "image_answer": "no"}

parallelism_and_perpendicularity/right_angle/right_angle_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 12100, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -9], "B": [-5, -3], "C": [-6, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -9), B=(-5, -3), C=(-6, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12100_right_angle.png", "im_dots_path": "/images/task_12100_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12101, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -10], "B": [-1, -1], "C": [1, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -10), B=(-1, -1), C=(1, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12101_right_angle.png", "im_dots_path": "/images/task_12101_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12102, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [5, -8], "C": [-7, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -3), B=(5, -8), C=(-7, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12102_right_angle.png", "im_dots_path": "/images/task_12102_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12103, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [2, 9], "C": [-6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -3), B=(2, 9), C=(-6, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12103_right_angle.png", "im_dots_path": "/images/task_12103_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12104, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -7], "B": [5, 1], "C": [-4, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -7), B=(5, 1), C=(-4, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12104_right_angle.png", "im_dots_path": "/images/task_12104_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12105, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [0, 7], "C": [-1, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 3), B=(0, 7), C=(-1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12105_right_angle.png", "im_dots_path": "/images/task_12105_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12106, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -4], "B": [-8, 1], "C": [0, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -4), B=(-8, 1), C=(0, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12106_right_angle.png", "im_dots_path": "/images/task_12106_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12107, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [5, 7], "C": [-4, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -8), B=(5, 7), C=(-4, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12107_right_angle.png", "im_dots_path": "/images/task_12107_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12108, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 2], "B": [5, 0], "C": [3, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 2), B=(5, 0), C=(3, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12108_right_angle.png", "im_dots_path": "/images/task_12108_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12109, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 6], "B": [5, 4], "C": [3, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 6), B=(5, 4), C=(3, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12109_right_angle.png", "im_dots_path": "/images/task_12109_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12110, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, -3], "B": [-5, -9], "C": [1, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, -3), B=(-5, -9), C=(1, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12110_right_angle.png", "im_dots_path": "/images/task_12110_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12111, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -9], "B": [7, 1], "C": [7, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -9), B=(7, 1), C=(7, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12111_right_angle.png", "im_dots_path": "/images/task_12111_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12112, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 5], "B": [4, 0], "C": [-1, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 5), B=(4, 0), C=(-1, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12112_right_angle.png", "im_dots_path": "/images/task_12112_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12113, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 7], "B": [-9, 6], "C": [9, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 7), B=(-9, 6), C=(9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12113_right_angle.png", "im_dots_path": "/images/task_12113_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12114, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -8], "B": [-7, -6], "C": [-10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -8), B=(-7, -6), C=(-10, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12114_right_angle.png", "im_dots_path": "/images/task_12114_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12115, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 13], "B": [4, 7], "C": [-2, 14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(11, 13), B=(4, 7), C=(-2, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12115_right_angle.png", "im_dots_path": "/images/task_12115_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12116, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 3], "B": [3, 1], "C": [6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, 3), B=(3, 1), C=(6, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12116_right_angle.png", "im_dots_path": "/images/task_12116_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12117, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, -8], "B": [-2, -5], "C": [-9, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, -8), B=(-2, -5), C=(-9, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12117_right_angle.png", "im_dots_path": "/images/task_12117_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12118, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 1], "B": [-4, -6], "C": [8, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 1), B=(-4, -6), C=(8, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12118_right_angle.png", "im_dots_path": "/images/task_12118_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12119, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -6], "B": [2, -1], "C": [-6, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, -6), B=(2, -1), C=(-6, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12119_right_angle.png", "im_dots_path": "/images/task_12119_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12120, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 8], "B": [0, 10], "C": [-5, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 8), B=(0, 10), C=(-5, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12120_right_angle.png", "im_dots_path": "/images/task_12120_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12121, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 6], "B": [-6, 9], "C": [7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 6), B=(-6, 9), C=(7, -6). Is \u2220ABC right?", "im_path": "/images_full/task_12121_right_angle.png", "im_dots_path": "/images/task_12121_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12122, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 4], "B": [-10, 2], "C": [10, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 4), B=(-10, 2), C=(10, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12122_right_angle.png", "im_dots_path": "/images/task_12122_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12123, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 13], "B": [0, 3], "C": [-10, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 13), B=(0, 3), C=(-10, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12123_right_angle.png", "im_dots_path": "/images/task_12123_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12124, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 8], "B": [0, -1], "C": [-9, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 8), B=(0, -1), C=(-9, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12124_right_angle.png", "im_dots_path": "/images/task_12124_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12125, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 8], "B": [-6, -8], "C": [1, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 8), B=(-6, -8), C=(1, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12125_right_angle.png", "im_dots_path": "/images/task_12125_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12126, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -1], "B": [4, -2], "C": [-3, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -1), B=(4, -2), C=(-3, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12126_right_angle.png", "im_dots_path": "/images/task_12126_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12127, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, -8], "B": [6, -9], "C": [5, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, -8), B=(6, -9), C=(5, -5). Is \u2220ABC right?", "im_path": "/images_full/task_12127_right_angle.png", "im_dots_path": "/images/task_12127_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12128, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -6], "B": [-7, 1], "C": [-7, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -6), B=(-7, 1), C=(-7, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12128_right_angle.png", "im_dots_path": "/images/task_12128_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12129, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-3, -6], "B": [-8, -4], "C": [9, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-3, -6), B=(-8, -4), C=(9, -6). Is \u2220ABC right?", "im_path": "/images_full/task_12129_right_angle.png", "im_dots_path": "/images/task_12129_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12130, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 3], "B": [7, -5], "C": [-1, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 3), B=(7, -5), C=(-1, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12130_right_angle.png", "im_dots_path": "/images/task_12130_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12131, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 2], "B": [-2, -5], "C": [-9, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 2), B=(-2, -5), C=(-9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12131_right_angle.png", "im_dots_path": "/images/task_12131_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12132, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [1, 2], "C": [0, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 3), B=(1, 2), C=(0, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12132_right_angle.png", "im_dots_path": "/images/task_12132_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12133, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 10], "B": [-9, 1], "C": [-10, 3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 10), B=(-9, 1), C=(-10, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12133_right_angle.png", "im_dots_path": "/images/task_12133_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12134, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 4], "B": [-9, 2], "C": [-11, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 4), B=(-9, 2), C=(-11, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12134_right_angle.png", "im_dots_path": "/images/task_12134_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12135, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, -7], "B": [-1, 9], "C": [6, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, -7), B=(-1, 9), C=(6, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12135_right_angle.png", "im_dots_path": "/images/task_12135_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12136, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -3], "B": [1, 3], "C": [-9, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -3), B=(1, 3), C=(-9, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12136_right_angle.png", "im_dots_path": "/images/task_12136_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12137, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, -7], "B": [-6, 7], "C": [5, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, -7), B=(-6, 7), C=(5, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12137_right_angle.png", "im_dots_path": "/images/task_12137_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12138, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 8], "B": [-1, 7], "C": [3, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 8), B=(-1, 7), C=(3, -5). Is \u2220ABC right?", "im_path": "/images_full/task_12138_right_angle.png", "im_dots_path": "/images/task_12138_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12139, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 12], "B": [-5, 7], "C": [-10, 17]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 12), B=(-5, 7), C=(-10, 17). Is \u2220ABC right?", "im_path": "/images_full/task_12139_right_angle.png", "im_dots_path": "/images/task_12139_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12140, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -2], "B": [-8, 0], "C": [5, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -2), B=(-8, 0), C=(5, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12140_right_angle.png", "im_dots_path": "/images/task_12140_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12141, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 20], "B": [-10, 10], "C": [-20, 20]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 20), B=(-10, 10), C=(-20, 20). Is \u2220ABC right?", "im_path": "/images_full/task_12141_right_angle.png", "im_dots_path": "/images/task_12141_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12142, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 11], "B": [-9, 2], "C": [-18, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 11), B=(-9, 2), C=(-18, 4). Is \u2220ABC right?", "im_path": "/images_full/task_12142_right_angle.png", "im_dots_path": "/images/task_12142_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12143, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 3], "B": [-9, -1], "C": [-13, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 3), B=(-9, -1), C=(-13, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12143_right_angle.png", "im_dots_path": "/images/task_12143_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12144, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 9], "B": [-6, -10], "C": [2, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, 9), B=(-6, -10), C=(2, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12144_right_angle.png", "im_dots_path": "/images/task_12144_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12145, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-8, 0], "B": [9, 2], "C": [-2, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-8, 0), B=(9, 2), C=(-2, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12145_right_angle.png", "im_dots_path": "/images/task_12145_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12146, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 10], "B": [2, 6], "C": [-2, 13]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 10), B=(2, 6), C=(-2, 13). Is \u2220ABC right?", "im_path": "/images_full/task_12146_right_angle.png", "im_dots_path": "/images/task_12146_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12147, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -7], "B": [-1, 7], "C": [-10, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -7), B=(-1, 7), C=(-10, -8). Is \u2220ABC right?", "im_path": "/images_full/task_12147_right_angle.png", "im_dots_path": "/images/task_12147_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12148, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-6, -9], "B": [-7, -4], "C": [-5, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-6, -9), B=(-7, -4), C=(-5, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12148_right_angle.png", "im_dots_path": "/images/task_12148_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12149, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 2], "B": [4, -9], "C": [1, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 2), B=(4, -9), C=(1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12149_right_angle.png", "im_dots_path": "/images/task_12149_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12150, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, -8], "B": [1, -4], "C": [8, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, -8), B=(1, -4), C=(8, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12150_right_angle.png", "im_dots_path": "/images/task_12150_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12151, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -9], "B": [1, -8], "C": [10, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -9), B=(1, -8), C=(10, -10). Is \u2220ABC right?", "im_path": "/images_full/task_12151_right_angle.png", "im_dots_path": "/images/task_12151_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12152, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 0], "B": [-3, -6], "C": [-9, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 0), B=(-3, -6), C=(-9, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12152_right_angle.png", "im_dots_path": "/images/task_12152_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12153, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [17, 15], "B": [9, 9], "C": [3, 17]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(17, 15), B=(9, 9), C=(3, 17). Is \u2220ABC right?", "im_path": "/images_full/task_12153_right_angle.png", "im_dots_path": "/images/task_12153_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12154, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 2], "B": [-8, 3], "C": [-10, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 2), B=(-8, 3), C=(-10, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12154_right_angle.png", "im_dots_path": "/images/task_12154_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12155, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, -3], "B": [-6, -8], "C": [-11, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, -3), B=(-6, -8), C=(-11, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12155_right_angle.png", "im_dots_path": "/images/task_12155_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12156, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 10], "B": [8, 9], "C": [7, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 10), B=(8, 9), C=(7, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12156_right_angle.png", "im_dots_path": "/images/task_12156_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12157, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 0], "B": [-1, 10], "C": [-8, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 0), B=(-1, 10), C=(-8, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12157_right_angle.png", "im_dots_path": "/images/task_12157_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12158, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 13], "B": [3, 7], "C": [-3, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 13), B=(3, 7), C=(-3, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12158_right_angle.png", "im_dots_path": "/images/task_12158_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12159, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, -4], "B": [3, 6], "C": [-7, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, -4), B=(3, 6), C=(-7, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12159_right_angle.png", "im_dots_path": "/images/task_12159_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12160, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 2], "B": [3, -3], "C": [-2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(11, 2), B=(3, -3), C=(-2, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12160_right_angle.png", "im_dots_path": "/images/task_12160_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12161, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 2], "B": [5, -7], "C": [-4, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 2), B=(5, -7), C=(-4, -4). Is \u2220ABC right?", "im_path": "/images_full/task_12161_right_angle.png", "im_dots_path": "/images/task_12161_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12162, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 10], "B": [3, 6], "C": [-1, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 10), B=(3, 6), C=(-1, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12162_right_angle.png", "im_dots_path": "/images/task_12162_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12163, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 2], "B": [-4, -7], "C": [-13, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 2), B=(-4, -7), C=(-13, 3). Is \u2220ABC right?", "im_path": "/images_full/task_12163_right_angle.png", "im_dots_path": "/images/task_12163_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12164, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, -4], "B": [-9, -2], "C": [2, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, -4), B=(-9, -2), C=(2, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12164_right_angle.png", "im_dots_path": "/images/task_12164_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12165, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [20, 0], "B": [10, -3], "C": [7, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(20, 0), B=(10, -3), C=(7, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12165_right_angle.png", "im_dots_path": "/images/task_12165_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12166, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [6, 11], "B": [-2, 4], "C": [-9, 12]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(6, 11), B=(-2, 4), C=(-9, 12). Is \u2220ABC right?", "im_path": "/images_full/task_12166_right_angle.png", "im_dots_path": "/images/task_12166_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12167, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 0], "B": [5, -3], "C": [-7, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 0), B=(5, -3), C=(-7, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12167_right_angle.png", "im_dots_path": "/images/task_12167_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12168, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 7], "B": [-6, 1], "C": [-12, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 7), B=(-6, 1), C=(-12, 7). Is \u2220ABC right?", "im_path": "/images_full/task_12168_right_angle.png", "im_dots_path": "/images/task_12168_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12169, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 4], "B": [-7, -3], "C": [-14, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 4), B=(-7, -3), C=(-14, 6). Is \u2220ABC right?", "im_path": "/images_full/task_12169_right_angle.png", "im_dots_path": "/images/task_12169_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12170, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [5, 13], "B": [-2, 9], "C": [-6, 16]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(5, 13), B=(-2, 9), C=(-6, 16). Is \u2220ABC right?", "im_path": "/images_full/task_12170_right_angle.png", "im_dots_path": "/images/task_12170_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12171, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [8, 0], "B": [9, 2], "C": [1, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(8, 0), B=(9, 2), C=(1, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12171_right_angle.png", "im_dots_path": "/images/task_12171_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12172, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 5], "B": [3, 1], "C": [-1, 8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 5), B=(3, 1), C=(-1, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12172_right_angle.png", "im_dots_path": "/images/task_12172_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12173, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-5, 1], "B": [6, -9], "C": [-9, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-5, 1), B=(6, -9), C=(-9, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12173_right_angle.png", "im_dots_path": "/images/task_12173_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12174, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, -7], "B": [-6, 1], "C": [9, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, -7), B=(-6, 1), C=(9, 8). Is \u2220ABC right?", "im_path": "/images_full/task_12174_right_angle.png", "im_dots_path": "/images/task_12174_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12175, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, -2], "B": [7, -8], "C": [-1, 0]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, -2), B=(7, -8), C=(-1, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12175_right_angle.png", "im_dots_path": "/images/task_12175_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12176, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, -5], "B": [-8, -10], "C": [-13, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, -5), B=(-8, -10), C=(-13, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12176_right_angle.png", "im_dots_path": "/images/task_12176_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12177, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -4], "B": [-4, -6], "C": [-6, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -4), B=(-4, -6), C=(-6, 0). Is \u2220ABC right?", "im_path": "/images_full/task_12177_right_angle.png", "im_dots_path": "/images/task_12177_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12178, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 13], "B": [4, 7], "C": [-2, 12]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 13), B=(4, 7), C=(-2, 12). Is \u2220ABC right?", "im_path": "/images_full/task_12178_right_angle.png", "im_dots_path": "/images/task_12178_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12179, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, -10], "B": [-2, -2], "C": [6, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, -10), B=(-2, -2), C=(6, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12179_right_angle.png", "im_dots_path": "/images/task_12179_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12180, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [1, 8], "B": [-4, 6], "C": [-6, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(1, 8), B=(-4, 6), C=(-6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12180_right_angle.png", "im_dots_path": "/images/task_12180_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12181, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, 11], "B": [-2, 7], "C": [-6, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, 11), B=(-2, 7), C=(-6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12181_right_angle.png", "im_dots_path": "/images/task_12181_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12182, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-4, 1], "B": [-5, -4], "C": [-10, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-4, 1), B=(-5, -4), C=(-10, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12182_right_angle.png", "im_dots_path": "/images/task_12182_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12183, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-9, 4], "B": [-3, 0], "C": [7, 10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-9, 4), B=(-3, 0), C=(7, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12183_right_angle.png", "im_dots_path": "/images/task_12183_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12184, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -2], "B": [9, 1], "C": [8, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -2), B=(9, 1), C=(8, -10). Is \u2220ABC right?", "im_path": "/images_full/task_12184_right_angle.png", "im_dots_path": "/images/task_12184_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12185, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-1, 1], "B": [0, -8], "C": [-4, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-1, 1), B=(0, -8), C=(-4, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12185_right_angle.png", "im_dots_path": "/images/task_12185_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12186, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [2, -5], "B": [-10, 7], "C": [-6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(2, -5), B=(-10, 7), C=(-6, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12186_right_angle.png", "im_dots_path": "/images/task_12186_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12187, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [7, 19], "B": [6, 9], "C": [-4, 10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(7, 19), B=(6, 9), C=(-4, 10). Is \u2220ABC right?", "im_path": "/images_full/task_12187_right_angle.png", "im_dots_path": "/images/task_12187_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12188, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 7], "B": [-5, 5], "C": [-7, 14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 7), B=(-5, 5), C=(-7, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12188_right_angle.png", "im_dots_path": "/images/task_12188_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12189, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [11, 12], "B": [9, 9], "C": [6, 11]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(11, 12), B=(9, 9), C=(6, 11). Is \u2220ABC right?", "im_path": "/images_full/task_12189_right_angle.png", "im_dots_path": "/images/task_12189_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12190, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [14, 0], "B": [8, -8], "C": [0, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(14, 0), B=(8, -8), C=(0, -2). Is \u2220ABC right?", "im_path": "/images_full/task_12190_right_angle.png", "im_dots_path": "/images/task_12190_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12191, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [0, 9], "B": [-2, -9], "C": [-2, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(0, 9), B=(-2, -9), C=(-2, 2). Is \u2220ABC right?", "im_path": "/images_full/task_12191_right_angle.png", "im_dots_path": "/images/task_12191_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12192, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-10, -8], "B": [-4, -4], "C": [9, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-10, -8), B=(-4, -4), C=(9, 9). Is \u2220ABC right?", "im_path": "/images_full/task_12192_right_angle.png", "im_dots_path": "/images/task_12192_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12193, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [9, 8], "B": [1, 6], "C": [-1, 14]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(9, 8), B=(1, 6), C=(-1, 14). Is \u2220ABC right?", "im_path": "/images_full/task_12193_right_angle.png", "im_dots_path": "/images/task_12193_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12194, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [4, 3], "B": [-1, -6], "C": [-10, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(4, 3), B=(-1, -6), C=(-10, -1). Is \u2220ABC right?", "im_path": "/images_full/task_12194_right_angle.png", "im_dots_path": "/images/task_12194_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12195, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-7, 8], "B": [2, 8], "C": [-8, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-7, 8), B=(2, 8), C=(-8, -7). Is \u2220ABC right?", "im_path": "/images_full/task_12195_right_angle.png", "im_dots_path": "/images/task_12195_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12196, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 5], "B": [-9, 8], "C": [6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 5), B=(-9, 8), C=(6, -9). Is \u2220ABC right?", "im_path": "/images_full/task_12196_right_angle.png", "im_dots_path": "/images/task_12196_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12197, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [3, 9], "B": [-1, 10], "C": [2, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(3, 9), B=(-1, 10), C=(2, -3). Is \u2220ABC right?", "im_path": "/images_full/task_12197_right_angle.png", "im_dots_path": "/images/task_12197_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 12198, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [-2, 3], "B": [-7, -4], "C": [-14, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(-2, 3), B=(-7, -4), C=(-14, 1). Is \u2220ABC right?", "im_path": "/images_full/task_12198_right_angle.png", "im_dots_path": "/images/task_12198_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 12199, "type": "unstable", "category_id": 121, "category": "Parallelism and Perpendicularity", "difficulty": 1, "schema_type": "classification", "points": {"A": [10, 4], "B": [4, -1], "C": [-1, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points A=(10, 4), B=(4, -1), C=(-1, 5). Is \u2220ABC right?", "im_path": "/images_full/task_12199_right_angle.png", "im_dots_path": "/images/task_12199_right_angle.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the input image. Is \u2220ABC a right angle?", "image_choices": ["yes", "no"], "image_answer": "yes"}

symmetry/symmetry_points/.ipynb_checkpoints/symmetry_tasks-checkpoint.jsonl

@@ -0,0 +1,100 @@
+{"qid": 13000, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 1], "Q": [-8, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 1), Q=(-8, -7) symmetric about point O=(-4, -3)?", "im_path": "/images_full/task_13000_symmetry.png", "im_dots_path": "/images/task_13000_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13001, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(5, -9) symmetric about point O=(4, 3)?", "im_path": "/images_full/task_13001_symmetry.png", "im_dots_path": "/images/task_13001_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13002, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 3], "Q": [2, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 3), Q=(2, 3) symmetric about point O=(3, 3)?", "im_path": "/images_full/task_13002_symmetry.png", "im_dots_path": "/images/task_13002_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13003, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [-7, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(-7, 8) symmetric about point O=(-2, -4)?", "im_path": "/images_full/task_13003_symmetry.png", "im_dots_path": "/images/task_13003_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13004, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 1], "Q": [7, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 1), Q=(7, -7) symmetric about line y=x?", "im_path": "/images_full/task_13004_symmetry.png", "im_dots_path": "/images/task_13004_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13005, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 0], "Q": [-7, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 0), Q=(-7, -8) symmetric about point O=(-3, -4)?", "im_path": "/images_full/task_13005_symmetry.png", "im_dots_path": "/images/task_13005_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13006, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, -6], "Q": [-6, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, -6), Q=(-6, -1) symmetric about line y=x?", "im_path": "/images_full/task_13006_symmetry.png", "im_dots_path": "/images/task_13006_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13007, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -1], "Q": [-10, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -1), Q=(-10, -1) symmetric about point O=(-4, -5)?", "im_path": "/images_full/task_13007_symmetry.png", "im_dots_path": "/images/task_13007_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13008, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -3], "Q": [7, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -3), Q=(7, -3) symmetric about point O=(1, -4)?", "im_path": "/images_full/task_13008_symmetry.png", "im_dots_path": "/images/task_13008_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13009, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [8, -1], "Q": [-9, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(8, -1), Q=(-9, -5) symmetric about line Y?", "im_path": "/images_full/task_13009_symmetry.png", "im_dots_path": "/images/task_13009_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13010, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 6], "Q": [-3, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 6), Q=(-3, -1) symmetric about line X?", "im_path": "/images_full/task_13010_symmetry.png", "im_dots_path": "/images/task_13010_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13011, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 3], "Q": [4, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 3), Q=(4, -3) symmetric about line X?", "im_path": "/images_full/task_13011_symmetry.png", "im_dots_path": "/images/task_13011_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13012, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 5], "Q": [5, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 5), Q=(5, -6) symmetric about line y=x?", "im_path": "/images_full/task_13012_symmetry.png", "im_dots_path": "/images/task_13012_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13013, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, -5], "Q": [0, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, -5), Q=(0, -1) symmetric about point O=(5, -3)?", "im_path": "/images_full/task_13013_symmetry.png", "im_dots_path": "/images/task_13013_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13014, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 5], "Q": [-2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 5), Q=(-2, 5) symmetric about point O=(-1, 5)?", "im_path": "/images_full/task_13014_symmetry.png", "im_dots_path": "/images/task_13014_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13015, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 0], "Q": [0, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 0), Q=(0, -6) symmetric about line y=x?", "im_path": "/images_full/task_13015_symmetry.png", "im_dots_path": "/images/task_13015_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13016, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 0], "Q": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 0), Q=(-6, 2) symmetric about point O=(2, 1)?", "im_path": "/images_full/task_13016_symmetry.png", "im_dots_path": "/images/task_13016_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13017, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 2], "Q": [-5, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 2), Q=(-5, -7) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13017_symmetry.png", "im_dots_path": "/images/task_13017_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13018, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 4], "Q": [-7, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 4), Q=(-7, -2) symmetric about point O=(-3, 1)?", "im_path": "/images_full/task_13018_symmetry.png", "im_dots_path": "/images/task_13018_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13019, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 10], "Q": [0, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 10), Q=(0, -10) symmetric about line X?", "im_path": "/images_full/task_13019_symmetry.png", "im_dots_path": "/images/task_13019_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13020, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, -3], "Q": [3, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, -3), Q=(3, -7) symmetric about point O=(3, -5)?", "im_path": "/images_full/task_13020_symmetry.png", "im_dots_path": "/images/task_13020_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13021, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, -2], "Q": [-4, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, -2), Q=(-4, -6) symmetric about point O=(-4, -4)?", "im_path": "/images_full/task_13021_symmetry.png", "im_dots_path": "/images/task_13021_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13022, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 6], "Q": [-6, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 6), Q=(-6, -6) symmetric about line X?", "im_path": "/images_full/task_13022_symmetry.png", "im_dots_path": "/images/task_13022_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13023, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 6], "Q": [-2, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 6), Q=(-2, -2) symmetric about point O=(-1, 2)?", "im_path": "/images_full/task_13023_symmetry.png", "im_dots_path": "/images/task_13023_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13024, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, 4], "Q": [3, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, 4), Q=(3, 4) symmetric about point O=(5, 4)?", "im_path": "/images_full/task_13024_symmetry.png", "im_dots_path": "/images/task_13024_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13025, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, -2], "Q": [5, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, -2), Q=(5, -2) symmetric about line X?", "im_path": "/images_full/task_13025_symmetry.png", "im_dots_path": "/images/task_13025_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13026, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -7], "Q": [5, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -7), Q=(5, 6) symmetric about point O=(2, -5)?", "im_path": "/images_full/task_13026_symmetry.png", "im_dots_path": "/images/task_13026_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13027, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 3], "Q": [-4, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 3), Q=(-4, 2) symmetric about point O=(-3, 5)?", "im_path": "/images_full/task_13027_symmetry.png", "im_dots_path": "/images/task_13027_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13028, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 5], "Q": [-9, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 5), Q=(-9, -1) symmetric about line y=x?", "im_path": "/images_full/task_13028_symmetry.png", "im_dots_path": "/images/task_13028_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13029, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -1], "Q": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -1), Q=(1, -1) symmetric about point O=(4, 3)?", "im_path": "/images_full/task_13029_symmetry.png", "im_dots_path": "/images/task_13029_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13030, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -1], "Q": [4, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -1), Q=(4, -9) symmetric about point O=(3, -5)?", "im_path": "/images_full/task_13030_symmetry.png", "im_dots_path": "/images/task_13030_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13031, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, 9], "Q": [-8, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, 9), Q=(-8, 2) symmetric about line y=x?", "im_path": "/images_full/task_13031_symmetry.png", "im_dots_path": "/images/task_13031_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13032, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-8, 6], "Q": [-2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-8, 6), Q=(-2, -2) symmetric about line y=x?", "im_path": "/images_full/task_13032_symmetry.png", "im_dots_path": "/images/task_13032_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13033, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 7], "Q": [7, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 7), Q=(7, -2) symmetric about line y=x?", "im_path": "/images_full/task_13033_symmetry.png", "im_dots_path": "/images/task_13033_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13034, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 6], "Q": [-1, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 6), Q=(-1, 6) symmetric about line Y?", "im_path": "/images_full/task_13034_symmetry.png", "im_dots_path": "/images/task_13034_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13035, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 7], "Q": [-7, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 7), Q=(-7, 6) symmetric about line X?", "im_path": "/images_full/task_13035_symmetry.png", "im_dots_path": "/images/task_13035_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13036, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -7], "Q": [9, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -7), Q=(9, 2) symmetric about line Y?", "im_path": "/images_full/task_13036_symmetry.png", "im_dots_path": "/images/task_13036_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13037, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [2, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(2, -5) symmetric about point O=(1, -3)?", "im_path": "/images_full/task_13037_symmetry.png", "im_dots_path": "/images/task_13037_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13038, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, 5], "Q": [-6, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, 5), Q=(-6, -2) symmetric about line y=x?", "im_path": "/images_full/task_13038_symmetry.png", "im_dots_path": "/images/task_13038_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13039, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, -10], "Q": [-3, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, -10), Q=(-3, 0) symmetric about point O=(-3, -5)?", "im_path": "/images_full/task_13039_symmetry.png", "im_dots_path": "/images/task_13039_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13040, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 2], "Q": [3, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 2), Q=(3, 5) symmetric about line X?", "im_path": "/images_full/task_13040_symmetry.png", "im_dots_path": "/images/task_13040_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13041, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 5], "Q": [-2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 5), Q=(-2, 5) symmetric about line Y?", "im_path": "/images_full/task_13041_symmetry.png", "im_dots_path": "/images/task_13041_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13042, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [-4, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(-4, 7) symmetric about point O=(-3, -5)?", "im_path": "/images_full/task_13042_symmetry.png", "im_dots_path": "/images/task_13042_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13043, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 2], "Q": [-6, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 2), Q=(-6, -4) symmetric about point O=(-5, -1)?", "im_path": "/images_full/task_13043_symmetry.png", "im_dots_path": "/images/task_13043_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13044, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 5], "Q": [-7, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 5), Q=(-7, -5) symmetric about point O=(-4, 0)?", "im_path": "/images_full/task_13044_symmetry.png", "im_dots_path": "/images/task_13044_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13045, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [-7, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(-7, 6) symmetric about point O=(2, 1)?", "im_path": "/images_full/task_13045_symmetry.png", "im_dots_path": "/images/task_13045_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13046, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 8], "Q": [8, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 8), Q=(8, 9) symmetric about line y=x?", "im_path": "/images_full/task_13046_symmetry.png", "im_dots_path": "/images/task_13046_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13047, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 5], "Q": [6, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 5), Q=(6, -5) symmetric about line X?", "im_path": "/images_full/task_13047_symmetry.png", "im_dots_path": "/images/task_13047_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13048, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, 1], "Q": [-3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, 1), Q=(-3, 1) symmetric about line Y?", "im_path": "/images_full/task_13048_symmetry.png", "im_dots_path": "/images/task_13048_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13049, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -9], "Q": [-2, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -9), Q=(-2, -8) symmetric about point O=(-2, -4)?", "im_path": "/images_full/task_13049_symmetry.png", "im_dots_path": "/images/task_13049_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13050, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-9, -4], "Q": [-1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-9, -4), Q=(-1, -6) symmetric about point O=(-5, -5)?", "im_path": "/images_full/task_13050_symmetry.png", "im_dots_path": "/images/task_13050_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13051, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, -4], "Q": [4, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, -4), Q=(4, 7) symmetric about point O=(-3, 0)?", "im_path": "/images_full/task_13051_symmetry.png", "im_dots_path": "/images/task_13051_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13052, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -5], "Q": [-5, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -5), Q=(-5, -10) symmetric about line y=x?", "im_path": "/images_full/task_13052_symmetry.png", "im_dots_path": "/images/task_13052_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13053, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, -1], "Q": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, -1), Q=(10, -7) symmetric about line y=x?", "im_path": "/images_full/task_13053_symmetry.png", "im_dots_path": "/images/task_13053_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13054, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 4], "Q": [5, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 4), Q=(5, -6) symmetric about point O=(2, -1)?", "im_path": "/images_full/task_13054_symmetry.png", "im_dots_path": "/images/task_13054_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13055, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -3], "Q": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -3), Q=(-6, 2) symmetric about point O=(0, -2)?", "im_path": "/images_full/task_13055_symmetry.png", "im_dots_path": "/images/task_13055_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13056, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -3], "Q": [-2, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -3), Q=(-2, -3) symmetric about line Y?", "im_path": "/images_full/task_13056_symmetry.png", "im_dots_path": "/images/task_13056_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13057, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, -6], "Q": [1, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, -6), Q=(1, 2) symmetric about point O=(2, -2)?", "im_path": "/images_full/task_13057_symmetry.png", "im_dots_path": "/images/task_13057_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13058, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -3], "Q": [-9, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -3), Q=(-9, 7) symmetric about point O=(-4, 2)?", "im_path": "/images_full/task_13058_symmetry.png", "im_dots_path": "/images/task_13058_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13059, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 0], "Q": [-1, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 0), Q=(-1, 0) symmetric about line X?", "im_path": "/images_full/task_13059_symmetry.png", "im_dots_path": "/images/task_13059_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13060, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [5, 8], "Q": [3, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(5, 8), Q=(3, 2) symmetric about point O=(4, 5)?", "im_path": "/images_full/task_13060_symmetry.png", "im_dots_path": "/images/task_13060_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13061, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, 5], "Q": [-6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, 5), Q=(-6, -3) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13061_symmetry.png", "im_dots_path": "/images/task_13061_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13062, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 6], "Q": [1, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 6), Q=(1, -2) symmetric about point O=(1, 2)?", "im_path": "/images_full/task_13062_symmetry.png", "im_dots_path": "/images/task_13062_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13063, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -8], "Q": [2, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -8), Q=(2, -8) symmetric about line Y?", "im_path": "/images_full/task_13063_symmetry.png", "im_dots_path": "/images/task_13063_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13064, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 3], "Q": [3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 3), Q=(3, 1) symmetric about line y=x?", "im_path": "/images_full/task_13064_symmetry.png", "im_dots_path": "/images/task_13064_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13065, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 6], "Q": [-8, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 6), Q=(-8, 4) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13065_symmetry.png", "im_dots_path": "/images/task_13065_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13066, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, -6], "Q": [-10, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, -6), Q=(-10, -4) symmetric about line Y?", "im_path": "/images_full/task_13066_symmetry.png", "im_dots_path": "/images/task_13066_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13067, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, -4], "Q": [-8, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, -4), Q=(-8, -2) symmetric about point O=(4, -2)?", "im_path": "/images_full/task_13067_symmetry.png", "im_dots_path": "/images/task_13067_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13068, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, -3], "Q": [-7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, -3), Q=(-7, -6) symmetric about line X?", "im_path": "/images_full/task_13068_symmetry.png", "im_dots_path": "/images/task_13068_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13069, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 0], "Q": [-1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 0), Q=(-1, -6) symmetric about point O=(4, -4)?", "im_path": "/images_full/task_13069_symmetry.png", "im_dots_path": "/images/task_13069_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13070, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(1, -10) symmetric about point O=(0, -2)?", "im_path": "/images_full/task_13070_symmetry.png", "im_dots_path": "/images/task_13070_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13071, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 7], "Q": [-4, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 7), Q=(-4, -7) symmetric about line X?", "im_path": "/images_full/task_13071_symmetry.png", "im_dots_path": "/images/task_13071_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13072, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, 7], "Q": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, 7), Q=(1, -10) symmetric about line X?", "im_path": "/images_full/task_13072_symmetry.png", "im_dots_path": "/images/task_13072_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13073, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, -4], "Q": [9, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, -4), Q=(9, -10) symmetric about line X?", "im_path": "/images_full/task_13073_symmetry.png", "im_dots_path": "/images/task_13073_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13074, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 4], "Q": [0, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 4), Q=(0, -7) symmetric about point O=(-2, 5)?", "im_path": "/images_full/task_13074_symmetry.png", "im_dots_path": "/images/task_13074_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13075, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [8, -1], "Q": [8, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(8, -1), Q=(8, 1) symmetric about line X?", "im_path": "/images_full/task_13075_symmetry.png", "im_dots_path": "/images/task_13075_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13076, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -2], "Q": [-6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -2), Q=(-6, -1) symmetric about point O=(5, 2)?", "im_path": "/images_full/task_13076_symmetry.png", "im_dots_path": "/images/task_13076_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13077, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [5, 1], "Q": [5, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(5, 1), Q=(5, 7) symmetric about point O=(5, 4)?", "im_path": "/images_full/task_13077_symmetry.png", "im_dots_path": "/images/task_13077_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13078, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, -5], "Q": [-10, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, -5), Q=(-10, 9) symmetric about line X?", "im_path": "/images_full/task_13078_symmetry.png", "im_dots_path": "/images/task_13078_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13079, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, -4], "Q": [-1, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, -4), Q=(-1, 6) symmetric about point O=(3, 1)?", "im_path": "/images_full/task_13079_symmetry.png", "im_dots_path": "/images/task_13079_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13080, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 1], "Q": [-9, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 1), Q=(-9, 1) symmetric about line Y?", "im_path": "/images_full/task_13080_symmetry.png", "im_dots_path": "/images/task_13080_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13081, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 0], "Q": [1, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 0), Q=(1, 0) symmetric about line Y?", "im_path": "/images_full/task_13081_symmetry.png", "im_dots_path": "/images/task_13081_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13082, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 2], "Q": [0, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 2), Q=(0, -2) symmetric about line X?", "im_path": "/images_full/task_13082_symmetry.png", "im_dots_path": "/images/task_13082_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13083, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 2], "Q": [8, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 2), Q=(8, 2) symmetric about line Y?", "im_path": "/images_full/task_13083_symmetry.png", "im_dots_path": "/images/task_13083_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13084, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 6], "Q": [-4, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 6), Q=(-4, -6) symmetric about line X?", "im_path": "/images_full/task_13084_symmetry.png", "im_dots_path": "/images/task_13084_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13085, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -6], "Q": [-4, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -6), Q=(-4, 2) symmetric about point O=(-3, -2)?", "im_path": "/images_full/task_13085_symmetry.png", "im_dots_path": "/images/task_13085_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13086, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-7, -9], "Q": [-5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-7, -9), Q=(-5, 1) symmetric about line X?", "im_path": "/images_full/task_13086_symmetry.png", "im_dots_path": "/images/task_13086_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13087, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 2], "Q": [-3, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 2), Q=(-3, -2) symmetric about line X?", "im_path": "/images_full/task_13087_symmetry.png", "im_dots_path": "/images/task_13087_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13088, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, -2], "Q": [5, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, -2), Q=(5, -2) symmetric about line Y?", "im_path": "/images_full/task_13088_symmetry.png", "im_dots_path": "/images/task_13088_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13089, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, 2], "Q": [-1, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, 2), Q=(-1, -4) symmetric about line y=x?", "im_path": "/images_full/task_13089_symmetry.png", "im_dots_path": "/images/task_13089_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13090, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, 1], "Q": [7, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, 1), Q=(7, 1) symmetric about point O=(2, -4)?", "im_path": "/images_full/task_13090_symmetry.png", "im_dots_path": "/images/task_13090_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13091, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 4], "Q": [6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 4), Q=(6, -9) symmetric about point O=(-1, 3)?", "im_path": "/images_full/task_13091_symmetry.png", "im_dots_path": "/images/task_13091_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13092, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 5], "Q": [-8, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 5), Q=(-8, -3) symmetric about point O=(-3, 1)?", "im_path": "/images_full/task_13092_symmetry.png", "im_dots_path": "/images/task_13092_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13093, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 4], "Q": [-9, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 4), Q=(-9, 4) symmetric about line Y?", "im_path": "/images_full/task_13093_symmetry.png", "im_dots_path": "/images/task_13093_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13094, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-9, -2], "Q": [-5, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-9, -2), Q=(-5, -8) symmetric about line X?", "im_path": "/images_full/task_13094_symmetry.png", "im_dots_path": "/images/task_13094_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13095, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [0, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(0, 0) symmetric about point O=(1, -4)?", "im_path": "/images_full/task_13095_symmetry.png", "im_dots_path": "/images/task_13095_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13096, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -7], "Q": [10, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -7), Q=(10, -1) symmetric about line y=x?", "im_path": "/images_full/task_13096_symmetry.png", "im_dots_path": "/images/task_13096_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13097, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 6], "Q": [0, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 6), Q=(0, 2) symmetric about point O=(0, 4)?", "im_path": "/images_full/task_13097_symmetry.png", "im_dots_path": "/images/task_13097_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13098, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 3], "Q": [7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 3), Q=(7, -9) symmetric about line y=x?", "im_path": "/images_full/task_13098_symmetry.png", "im_dots_path": "/images/task_13098_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13099, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -2], "Q": [-5, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -2), Q=(-5, 4) symmetric about line y=x?", "im_path": "/images_full/task_13099_symmetry.png", "im_dots_path": "/images/task_13099_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}

symmetry/symmetry_points/symmetry_tasks.jsonl

@@ -0,0 +1,100 @@
+{"qid": 13000, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 1], "Q": [-8, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 1), Q=(-8, -7) symmetric about point O=(-4, -3)?", "im_path": "/images_full/task_13000_symmetry.png", "im_dots_path": "/images/task_13000_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13001, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [5, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(5, -9) symmetric about point O=(4, 3)?", "im_path": "/images_full/task_13001_symmetry.png", "im_dots_path": "/images/task_13001_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13002, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 3], "Q": [2, 3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 3), Q=(2, 3) symmetric about point O=(3, 3)?", "im_path": "/images_full/task_13002_symmetry.png", "im_dots_path": "/images/task_13002_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13003, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [-7, 8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(-7, 8) symmetric about point O=(-2, -4)?", "im_path": "/images_full/task_13003_symmetry.png", "im_dots_path": "/images/task_13003_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13004, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 1], "Q": [7, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 1), Q=(7, -7) symmetric about line y=x?", "im_path": "/images_full/task_13004_symmetry.png", "im_dots_path": "/images/task_13004_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13005, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 0], "Q": [-7, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 0), Q=(-7, -8) symmetric about point O=(-3, -4)?", "im_path": "/images_full/task_13005_symmetry.png", "im_dots_path": "/images/task_13005_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13006, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, -6], "Q": [-6, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, -6), Q=(-6, -1) symmetric about line y=x?", "im_path": "/images_full/task_13006_symmetry.png", "im_dots_path": "/images/task_13006_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13007, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -1], "Q": [-10, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -1), Q=(-10, -1) symmetric about point O=(-4, -5)?", "im_path": "/images_full/task_13007_symmetry.png", "im_dots_path": "/images/task_13007_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13008, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -3], "Q": [7, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -3), Q=(7, -3) symmetric about point O=(1, -4)?", "im_path": "/images_full/task_13008_symmetry.png", "im_dots_path": "/images/task_13008_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13009, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [8, -1], "Q": [-9, -5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(8, -1), Q=(-9, -5) symmetric about line Y?", "im_path": "/images_full/task_13009_symmetry.png", "im_dots_path": "/images/task_13009_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13010, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 6], "Q": [-3, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 6), Q=(-3, -1) symmetric about line X?", "im_path": "/images_full/task_13010_symmetry.png", "im_dots_path": "/images/task_13010_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13011, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 3], "Q": [4, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 3), Q=(4, -3) symmetric about line X?", "im_path": "/images_full/task_13011_symmetry.png", "im_dots_path": "/images/task_13011_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13012, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 5], "Q": [5, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 5), Q=(5, -6) symmetric about line y=x?", "im_path": "/images_full/task_13012_symmetry.png", "im_dots_path": "/images/task_13012_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13013, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, -5], "Q": [0, -1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, -5), Q=(0, -1) symmetric about point O=(5, -3)?", "im_path": "/images_full/task_13013_symmetry.png", "im_dots_path": "/images/task_13013_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13014, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 5], "Q": [-2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 5), Q=(-2, 5) symmetric about point O=(-1, 5)?", "im_path": "/images_full/task_13014_symmetry.png", "im_dots_path": "/images/task_13014_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13015, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 0], "Q": [0, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 0), Q=(0, -6) symmetric about line y=x?", "im_path": "/images_full/task_13015_symmetry.png", "im_dots_path": "/images/task_13015_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13016, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 0], "Q": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 0), Q=(-6, 2) symmetric about point O=(2, 1)?", "im_path": "/images_full/task_13016_symmetry.png", "im_dots_path": "/images/task_13016_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13017, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 2], "Q": [-5, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 2), Q=(-5, -7) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13017_symmetry.png", "im_dots_path": "/images/task_13017_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13018, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 4], "Q": [-7, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 4), Q=(-7, -2) symmetric about point O=(-3, 1)?", "im_path": "/images_full/task_13018_symmetry.png", "im_dots_path": "/images/task_13018_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13019, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 10], "Q": [0, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 10), Q=(0, -10) symmetric about line X?", "im_path": "/images_full/task_13019_symmetry.png", "im_dots_path": "/images/task_13019_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13020, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, -3], "Q": [3, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, -3), Q=(3, -7) symmetric about point O=(3, -5)?", "im_path": "/images_full/task_13020_symmetry.png", "im_dots_path": "/images/task_13020_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13021, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, -2], "Q": [-4, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, -2), Q=(-4, -6) symmetric about point O=(-4, -4)?", "im_path": "/images_full/task_13021_symmetry.png", "im_dots_path": "/images/task_13021_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13022, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, 6], "Q": [-6, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, 6), Q=(-6, -6) symmetric about line X?", "im_path": "/images_full/task_13022_symmetry.png", "im_dots_path": "/images/task_13022_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13023, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 6], "Q": [-2, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 6), Q=(-2, -2) symmetric about point O=(-1, 2)?", "im_path": "/images_full/task_13023_symmetry.png", "im_dots_path": "/images/task_13023_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13024, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, 4], "Q": [3, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, 4), Q=(3, 4) symmetric about point O=(5, 4)?", "im_path": "/images_full/task_13024_symmetry.png", "im_dots_path": "/images/task_13024_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13025, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, -2], "Q": [5, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, -2), Q=(5, -2) symmetric about line X?", "im_path": "/images_full/task_13025_symmetry.png", "im_dots_path": "/images/task_13025_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13026, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -7], "Q": [5, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -7), Q=(5, 6) symmetric about point O=(2, -5)?", "im_path": "/images_full/task_13026_symmetry.png", "im_dots_path": "/images/task_13026_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13027, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 3], "Q": [-4, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 3), Q=(-4, 2) symmetric about point O=(-3, 5)?", "im_path": "/images_full/task_13027_symmetry.png", "im_dots_path": "/images/task_13027_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13028, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 5], "Q": [-9, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 5), Q=(-9, -1) symmetric about line y=x?", "im_path": "/images_full/task_13028_symmetry.png", "im_dots_path": "/images/task_13028_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13029, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -1], "Q": [1, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -1), Q=(1, -1) symmetric about point O=(4, 3)?", "im_path": "/images_full/task_13029_symmetry.png", "im_dots_path": "/images/task_13029_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13030, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -1], "Q": [4, -9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -1), Q=(4, -9) symmetric about point O=(3, -5)?", "im_path": "/images_full/task_13030_symmetry.png", "im_dots_path": "/images/task_13030_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13031, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, 9], "Q": [-8, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, 9), Q=(-8, 2) symmetric about line y=x?", "im_path": "/images_full/task_13031_symmetry.png", "im_dots_path": "/images/task_13031_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13032, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-8, 6], "Q": [-2, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-8, 6), Q=(-2, -2) symmetric about line y=x?", "im_path": "/images_full/task_13032_symmetry.png", "im_dots_path": "/images/task_13032_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13033, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 7], "Q": [7, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 7), Q=(7, -2) symmetric about line y=x?", "im_path": "/images_full/task_13033_symmetry.png", "im_dots_path": "/images/task_13033_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13034, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 6], "Q": [-1, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 6), Q=(-1, 6) symmetric about line Y?", "im_path": "/images_full/task_13034_symmetry.png", "im_dots_path": "/images/task_13034_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13035, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 7], "Q": [-7, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 7), Q=(-7, 6) symmetric about line X?", "im_path": "/images_full/task_13035_symmetry.png", "im_dots_path": "/images/task_13035_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13036, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -7], "Q": [9, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -7), Q=(9, 2) symmetric about line Y?", "im_path": "/images_full/task_13036_symmetry.png", "im_dots_path": "/images/task_13036_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13037, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [2, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(2, -5) symmetric about point O=(1, -3)?", "im_path": "/images_full/task_13037_symmetry.png", "im_dots_path": "/images/task_13037_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13038, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [10, 5], "Q": [-6, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(10, 5), Q=(-6, -2) symmetric about line y=x?", "im_path": "/images_full/task_13038_symmetry.png", "im_dots_path": "/images/task_13038_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13039, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, -10], "Q": [-3, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, -10), Q=(-3, 0) symmetric about point O=(-3, -5)?", "im_path": "/images_full/task_13039_symmetry.png", "im_dots_path": "/images/task_13039_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13040, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 2], "Q": [3, 5]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 2), Q=(3, 5) symmetric about line X?", "im_path": "/images_full/task_13040_symmetry.png", "im_dots_path": "/images/task_13040_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13041, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 5], "Q": [-2, 5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 5), Q=(-2, 5) symmetric about line Y?", "im_path": "/images_full/task_13041_symmetry.png", "im_dots_path": "/images/task_13041_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13042, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [-4, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(-4, 7) symmetric about point O=(-3, -5)?", "im_path": "/images_full/task_13042_symmetry.png", "im_dots_path": "/images/task_13042_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13043, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 2], "Q": [-6, -4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 2), Q=(-6, -4) symmetric about point O=(-5, -1)?", "im_path": "/images_full/task_13043_symmetry.png", "im_dots_path": "/images/task_13043_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13044, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 5], "Q": [-7, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 5), Q=(-7, -5) symmetric about point O=(-4, 0)?", "im_path": "/images_full/task_13044_symmetry.png", "im_dots_path": "/images/task_13044_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13045, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [-7, 6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(-7, 6) symmetric about point O=(2, 1)?", "im_path": "/images_full/task_13045_symmetry.png", "im_dots_path": "/images/task_13045_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13046, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 8], "Q": [8, 9]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 8), Q=(8, 9) symmetric about line y=x?", "im_path": "/images_full/task_13046_symmetry.png", "im_dots_path": "/images/task_13046_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13047, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, 5], "Q": [6, -5]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, 5), Q=(6, -5) symmetric about line X?", "im_path": "/images_full/task_13047_symmetry.png", "im_dots_path": "/images/task_13047_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13048, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, 1], "Q": [-3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, 1), Q=(-3, 1) symmetric about line Y?", "im_path": "/images_full/task_13048_symmetry.png", "im_dots_path": "/images/task_13048_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13049, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -9], "Q": [-2, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -9), Q=(-2, -8) symmetric about point O=(-2, -4)?", "im_path": "/images_full/task_13049_symmetry.png", "im_dots_path": "/images/task_13049_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13050, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-9, -4], "Q": [-1, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-9, -4), Q=(-1, -6) symmetric about point O=(-5, -5)?", "im_path": "/images_full/task_13050_symmetry.png", "im_dots_path": "/images/task_13050_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13051, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, -4], "Q": [4, 7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, -4), Q=(4, 7) symmetric about point O=(-3, 0)?", "im_path": "/images_full/task_13051_symmetry.png", "im_dots_path": "/images/task_13051_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13052, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -5], "Q": [-5, -10]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -5), Q=(-5, -10) symmetric about line y=x?", "im_path": "/images_full/task_13052_symmetry.png", "im_dots_path": "/images/task_13052_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13053, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [6, -1], "Q": [10, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(6, -1), Q=(10, -7) symmetric about line y=x?", "im_path": "/images_full/task_13053_symmetry.png", "im_dots_path": "/images/task_13053_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13054, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 4], "Q": [5, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 4), Q=(5, -6) symmetric about point O=(2, -1)?", "im_path": "/images_full/task_13054_symmetry.png", "im_dots_path": "/images/task_13054_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13055, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -3], "Q": [-6, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -3), Q=(-6, 2) symmetric about point O=(0, -2)?", "im_path": "/images_full/task_13055_symmetry.png", "im_dots_path": "/images/task_13055_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13056, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -3], "Q": [-2, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -3), Q=(-2, -3) symmetric about line Y?", "im_path": "/images_full/task_13056_symmetry.png", "im_dots_path": "/images/task_13056_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13057, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [3, -6], "Q": [1, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(3, -6), Q=(1, 2) symmetric about point O=(2, -2)?", "im_path": "/images_full/task_13057_symmetry.png", "im_dots_path": "/images/task_13057_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13058, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -3], "Q": [-9, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -3), Q=(-9, 7) symmetric about point O=(-4, 2)?", "im_path": "/images_full/task_13058_symmetry.png", "im_dots_path": "/images/task_13058_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13059, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 0], "Q": [-1, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 0), Q=(-1, 0) symmetric about line X?", "im_path": "/images_full/task_13059_symmetry.png", "im_dots_path": "/images/task_13059_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13060, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [5, 8], "Q": [3, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(5, 8), Q=(3, 2) symmetric about point O=(4, 5)?", "im_path": "/images_full/task_13060_symmetry.png", "im_dots_path": "/images/task_13060_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13061, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, 5], "Q": [-6, -3]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, 5), Q=(-6, -3) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13061_symmetry.png", "im_dots_path": "/images/task_13061_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13062, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 6], "Q": [1, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 6), Q=(1, -2) symmetric about point O=(1, 2)?", "im_path": "/images_full/task_13062_symmetry.png", "im_dots_path": "/images/task_13062_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13063, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -8], "Q": [2, -8]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -8), Q=(2, -8) symmetric about line Y?", "im_path": "/images_full/task_13063_symmetry.png", "im_dots_path": "/images/task_13063_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13064, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, 3], "Q": [3, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, 3), Q=(3, 1) symmetric about line y=x?", "im_path": "/images_full/task_13064_symmetry.png", "im_dots_path": "/images/task_13064_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13065, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 6], "Q": [-8, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 6), Q=(-8, 4) symmetric about point O=(-5, 5)?", "im_path": "/images_full/task_13065_symmetry.png", "im_dots_path": "/images/task_13065_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13066, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, -6], "Q": [-10, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, -6), Q=(-10, -4) symmetric about line Y?", "im_path": "/images_full/task_13066_symmetry.png", "im_dots_path": "/images/task_13066_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13067, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, -4], "Q": [-8, -2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, -4), Q=(-8, -2) symmetric about point O=(4, -2)?", "im_path": "/images_full/task_13067_symmetry.png", "im_dots_path": "/images/task_13067_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13068, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, -3], "Q": [-7, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, -3), Q=(-7, -6) symmetric about line X?", "im_path": "/images_full/task_13068_symmetry.png", "im_dots_path": "/images/task_13068_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13069, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 0], "Q": [-1, -6]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 0), Q=(-1, -6) symmetric about point O=(4, -4)?", "im_path": "/images_full/task_13069_symmetry.png", "im_dots_path": "/images/task_13069_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13070, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, -1], "Q": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, -1), Q=(1, -10) symmetric about point O=(0, -2)?", "im_path": "/images_full/task_13070_symmetry.png", "im_dots_path": "/images/task_13070_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13071, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 7], "Q": [-4, -7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 7), Q=(-4, -7) symmetric about line X?", "im_path": "/images_full/task_13071_symmetry.png", "im_dots_path": "/images/task_13071_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13072, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, 7], "Q": [1, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, 7), Q=(1, -10) symmetric about line X?", "im_path": "/images_full/task_13072_symmetry.png", "im_dots_path": "/images/task_13072_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13073, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, -4], "Q": [9, -10]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, -4), Q=(9, -10) symmetric about line X?", "im_path": "/images_full/task_13073_symmetry.png", "im_dots_path": "/images/task_13073_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13074, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 4], "Q": [0, -7]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 4), Q=(0, -7) symmetric about point O=(-2, 5)?", "im_path": "/images_full/task_13074_symmetry.png", "im_dots_path": "/images/task_13074_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13075, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [8, -1], "Q": [8, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(8, -1), Q=(8, 1) symmetric about line X?", "im_path": "/images_full/task_13075_symmetry.png", "im_dots_path": "/images/task_13075_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13076, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [1, -2], "Q": [-6, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(1, -2), Q=(-6, -1) symmetric about point O=(5, 2)?", "im_path": "/images_full/task_13076_symmetry.png", "im_dots_path": "/images/task_13076_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13077, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [5, 1], "Q": [5, 7]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(5, 1), Q=(5, 7) symmetric about point O=(5, 4)?", "im_path": "/images_full/task_13077_symmetry.png", "im_dots_path": "/images/task_13077_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13078, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-6, -5], "Q": [-10, 9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-6, -5), Q=(-10, 9) symmetric about line X?", "im_path": "/images_full/task_13078_symmetry.png", "im_dots_path": "/images/task_13078_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13079, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, -4], "Q": [-1, 6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, -4), Q=(-1, 6) symmetric about point O=(3, 1)?", "im_path": "/images_full/task_13079_symmetry.png", "im_dots_path": "/images/task_13079_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13080, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 1], "Q": [-9, 1]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 1), Q=(-9, 1) symmetric about line Y?", "im_path": "/images_full/task_13080_symmetry.png", "im_dots_path": "/images/task_13080_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13081, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-1, 0], "Q": [1, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-1, 0), Q=(1, 0) symmetric about line Y?", "im_path": "/images_full/task_13081_symmetry.png", "im_dots_path": "/images/task_13081_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13082, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 2], "Q": [0, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 2), Q=(0, -2) symmetric about line X?", "im_path": "/images_full/task_13082_symmetry.png", "im_dots_path": "/images/task_13082_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13083, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, 2], "Q": [8, 2]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, 2), Q=(8, 2) symmetric about line Y?", "im_path": "/images_full/task_13083_symmetry.png", "im_dots_path": "/images/task_13083_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13084, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-4, 6], "Q": [-4, -6]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-4, 6), Q=(-4, -6) symmetric about line X?", "im_path": "/images_full/task_13084_symmetry.png", "im_dots_path": "/images/task_13084_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13085, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-2, -6], "Q": [-4, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-2, -6), Q=(-4, 2) symmetric about point O=(-3, -2)?", "im_path": "/images_full/task_13085_symmetry.png", "im_dots_path": "/images/task_13085_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13086, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-7, -9], "Q": [-5, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-7, -9), Q=(-5, 1) symmetric about line X?", "im_path": "/images_full/task_13086_symmetry.png", "im_dots_path": "/images/task_13086_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13087, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 2], "Q": [-3, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 2), Q=(-3, -2) symmetric about line X?", "im_path": "/images_full/task_13087_symmetry.png", "im_dots_path": "/images/task_13087_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13088, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, -2], "Q": [5, -2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, -2), Q=(5, -2) symmetric about line Y?", "im_path": "/images_full/task_13088_symmetry.png", "im_dots_path": "/images/task_13088_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13089, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-5, 2], "Q": [-1, -4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-5, 2), Q=(-1, -4) symmetric about line y=x?", "im_path": "/images_full/task_13089_symmetry.png", "im_dots_path": "/images/task_13089_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13090, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [7, 1], "Q": [7, 1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(7, 1), Q=(7, 1) symmetric about point O=(2, -4)?", "im_path": "/images_full/task_13090_symmetry.png", "im_dots_path": "/images/task_13090_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13091, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [4, 4], "Q": [6, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(4, 4), Q=(6, -9) symmetric about point O=(-1, 3)?", "im_path": "/images_full/task_13091_symmetry.png", "im_dots_path": "/images/task_13091_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13092, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, 5], "Q": [-8, -3]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, 5), Q=(-8, -3) symmetric about point O=(-3, 1)?", "im_path": "/images_full/task_13092_symmetry.png", "im_dots_path": "/images/task_13092_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13093, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [9, 4], "Q": [-9, 4]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(9, 4), Q=(-9, 4) symmetric about line Y?", "im_path": "/images_full/task_13093_symmetry.png", "im_dots_path": "/images/task_13093_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about Y?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13094, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-9, -2], "Q": [-5, -8]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-9, -2), Q=(-5, -8) symmetric about line X?", "im_path": "/images_full/task_13094_symmetry.png", "im_dots_path": "/images/task_13094_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about X?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13095, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -8], "Q": [0, 0]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -8), Q=(0, 0) symmetric about point O=(1, -4)?", "im_path": "/images_full/task_13095_symmetry.png", "im_dots_path": "/images/task_13095_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13096, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-10, -7], "Q": [10, -1]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-10, -7), Q=(10, -1) symmetric about line y=x?", "im_path": "/images_full/task_13096_symmetry.png", "im_dots_path": "/images/task_13096_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13097, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [0, 6], "Q": [0, 2]}, "answer": "yes", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(0, 6), Q=(0, 2) symmetric about point O=(0, 4)?", "im_path": "/images_full/task_13097_symmetry.png", "im_dots_path": "/images/task_13097_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about None?", "image_choices": ["yes", "no"], "image_answer": "yes"}
+{"qid": 13098, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [-3, 3], "Q": [7, -9]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(-3, 3), Q=(7, -9) symmetric about line y=x?", "im_path": "/images_full/task_13098_symmetry.png", "im_dots_path": "/images/task_13098_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}
+{"qid": 13099, "type": "unstable", "category_id": 130, "category": "Symmetry", "difficulty": 1, "schema_type": "classification", "points": {"P": [2, -2], "Q": [-5, 4]}, "answer": "no", "choices": ["yes", "no"], "modality": "image_text", "system_prompt": "You are a highly capable AI assistant with expertise in geometry. You can accurately analyze geometric figures, solve problems.", "question": "Points P=(2, -2), Q=(-5, 4) symmetric about line y=x?", "im_path": "/images_full/task_13099_symmetry.png", "im_dots_path": "/images/task_13099_symmetry.png", "image_system_prompt": "You are a highly capable AI assistant with expertise in visual geometry. You can accurately analyze geometric figures in images, solve problems based on visual input.", "image_question": "Refer to the image. Are P and Q symmetric about y=x?", "image_choices": ["yes", "no"], "image_answer": "no"}