image_path
string | question
string | answer
string | prompt_reasoning
string | prompt_no_reasoning
string | image_category
string | task_category
string | question_type
string | response_options
list | source
string | id
string | decoded_image
image |
|---|---|---|---|---|---|---|---|---|---|---|---|
images/SyntheticGeometry/syntheticgeometry_586184.png
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_586184_triangle_9940fd13dcaeba801d367476f7b0ca3f81934fe636f150ae0e670c22268a7315
| |
images/SyntheticGeometry/syntheticgeometry_556843.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_556843_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_580700.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_580700_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_573263.png
|
There is no triangle ADE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ADE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ADE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_573263_triangle_832145d16d997400c47a584a8864a29a1f0d1f68e184280c7ff3943891bd90e1
| |
images/SyntheticGeometry/syntheticgeometry_587256.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_587256_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_507011.png
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_507011_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
| |
images/SyntheticGeometry/syntheticgeometry_518716.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_518716_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_538332.png
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_538332_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
| |
images/SyntheticGeometry/syntheticgeometry_527191.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_527191_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_590324.png
|
There is a triangle AEC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle AEC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle AEC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_590324_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
| |
images/SyntheticGeometry/syntheticgeometry_564265.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_564265_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_580284.png
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_580284_triangle_9940fd13dcaeba801d367476f7b0ca3f81934fe636f150ae0e670c22268a7315
| |
images/SyntheticGeometry/syntheticgeometry_561632.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_561632_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_595615.png
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_595615_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
| |
images/SyntheticGeometry/syntheticgeometry_589973.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_589973_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_576580.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_576580_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_520646.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_520646_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_547053.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_547053_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_598725.png
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_598725_triangle_9940fd13dcaeba801d367476f7b0ca3f81934fe636f150ae0e670c22268a7315
| |
images/SyntheticGeometry/syntheticgeometry_569984.png
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_569984_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
| |
images/SyntheticGeometry/syntheticgeometry_517374.png
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_517374_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
| |
images/SyntheticGeometry/syntheticgeometry_588591.png
|
There is a triangle EDB in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle EDB in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle EDB in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_588591_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
| |
images/SyntheticGeometry/syntheticgeometry_580589.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_580589_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_541667.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_541667_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_543333.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_543333_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_514973.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_514973_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_577499.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_577499_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_591456.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_591456_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_572259.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_572259_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_579683.png
|
There is a triangle BCD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle BCD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BCD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_579683_triangle_3fbbfd26d8a710f18a3badb10554f5fe539d96525016a5a7b3a38a49d9747a53
| |
images/SyntheticGeometry/syntheticgeometry_573409.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_573409_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_513158.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_513158_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_516042.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_516042_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_588265.png
|
There is a triangle CDE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle CDE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle CDE in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_588265_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
| |
images/SyntheticGeometry/syntheticgeometry_570424.png
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_570424_triangle_9940fd13dcaeba801d367476f7b0ca3f81934fe636f150ae0e670c22268a7315
| |
images/SyntheticGeometry/syntheticgeometry_592003.png
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_592003_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
| |
images/SyntheticGeometry/syntheticgeometry_570890.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_570890_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_565009.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_565009_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_589985.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_589985_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_576398.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_576398_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_584600.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_584600_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_583078.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_583078_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_574467.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_574467_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_572707.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_572707_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_570207.png
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_570207_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
| |
images/SyntheticGeometry/syntheticgeometry_592194.png
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_592194_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
| |
images/SyntheticGeometry/syntheticgeometry_571717.png
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_571717_triangle_57a976864ae71af27eb5786b79e2199669a2f106d26ec5d4291b5fc28b9c9e1a
| |
images/SyntheticGeometry/syntheticgeometry_582764.png
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is no triangle ABD in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_582764_triangle_f9a5fcf7f6d4ea1abfe808c94fbb33ca721b8c6e0aaa6c2c6ba04721f92fa73d
| |
images/SyntheticGeometry/syntheticgeometry_516896.png
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
True
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle BAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_516896_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
| |
images/SyntheticGeometry/syntheticgeometry_598146.png
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
|
False
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
In your response, provide a short explanation or reasoning for your answer. Then, provide the final answer (True, False).
|
There is a triangle DAC in the figure. True or False?
A triangle is a polygon with three edges and three vertices, which are explicitly connected in the figure.
Your response should only include the final answer (True, False). Do not include any reasoning or explanation in your response.
|
geometry
|
triangle
|
single_answer
|
[
"True",
"False"
] |
SyntheticGeometry
|
syntheticgeometry_598146_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
|
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