image_path
stringlengths
52
60
question
null
answer
stringclasses
2 values
prompt_reasoning
null
prompt_no_reasoning
stringclasses
780 values
image_category
stringclasses
1 value
task_category
stringclasses
1 value
question_type
stringclasses
1 value
response_options
sequencelengths
2
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stringclasses
1 value
id
stringlengths
97
97
decoded_image
imagewidth (px)
512
2.3k
images/SyntheticGeometry/syntheticgeometry_26892noise_1.jpeg
null
False
null
There is a triangle MFG 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_26892_triangle_7413791068a869bc03942a7d57d129b690da6fa4986cf30caa6ee76e3e7d334f
images/SyntheticGeometry/syntheticgeometry_28327noise_1.jpeg
null
False
null
There is a triangle GEF 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_28327_triangle_8dbe1fbeb7f654af18659d2b328c5a29f365d0f31f7aa1c619b45278fd35be48
images/SyntheticGeometry/syntheticgeometry_20537noise_1.jpeg
null
False
null
There is a triangle EFH 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_20537_triangle_8edbfe9d7a20323b1f23131f9c08594d500ba71f57ca747c1299cbca9c31214e
images/SyntheticGeometry/syntheticgeometry_26084.png
null
False
null
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_26084_triangle_83daea147538b29e588b72b2a26f9469de565266f382ff1cc8a67189c83de3a7
images/SyntheticGeometry/syntheticgeometry_38240noise_0.jpeg
null
False
null
There is a triangle GEF 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_38240_triangle_8dbe1fbeb7f654af18659d2b328c5a29f365d0f31f7aa1c619b45278fd35be48
images/SyntheticGeometry/syntheticgeometry_44865noise_0.jpeg
null
False
null
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_44865_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_27289noise_1.jpeg
null
False
null
There is a triangle EHC 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_27289_triangle_6113f909dda04be1a743e8fd047ab083842d9c7b68d615801866ff5eeef9acd6
images/SyntheticGeometry/syntheticgeometry_29781noise_1.jpeg
null
False
null
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_29781_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_17331noise_1.jpeg
null
False
null
There is a triangle DLC 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_17331_triangle_305fd69e9e9c101984ee24722379893c894d3f7b0d8c0b63df3139b991217bb3
images/SyntheticGeometry/syntheticgeometry_44045noise_0.jpeg
null
False
null
There is a triangle AID 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_44045_triangle_3a1c105db80e84e54ce3ad18b214a59c2842df97481e91bac93536189207444c
images/SyntheticGeometry/syntheticgeometry_06049noise_0.jpeg
null
False
null
There is a triangle EDF 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_06049_triangle_aeae39f9e328426c1a788f797245dd60d55efba289c6d75858fde95ced1d48c1
images/SyntheticGeometry/syntheticgeometry_46325noise_1.jpeg
null
False
null
There is a triangle AFD 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_46325_triangle_04d503d37c44fc398eb5424f1858dc4de13dc982b8eb813d828698eb263cd84f
images/SyntheticGeometry/syntheticgeometry_45352.png
null
False
null
There is a triangle AGB 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_45352_triangle_ccddbc9b8809d62ae278a77d0ffaf44765aa48199c1d9e76ea7aae1067f71cf8
images/SyntheticGeometry/syntheticgeometry_11001noise_0.jpeg
null
False
null
There is a triangle IDB 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_11001_triangle_d3ae42ef806fe283cf638f273cc1f8b74568a1f0c39c296e8a4f9b8c526d5911
images/SyntheticGeometry/syntheticgeometry_33567noise_1.jpeg
null
False
null
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_33567_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_40702noise_0.jpeg
null
False
null
There is a triangle EAI 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_40702_triangle_5214774223d000c085a3298315ef529be10cc9d10663efad02c33306ba376ce5
images/SyntheticGeometry/syntheticgeometry_13006noise_1.jpeg
null
False
null
There is a 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_13006_triangle_e460bd685cec7ed0ea0f80cdedacd4311eb0d690e379326e1454c32d4affaa9c
images/SyntheticGeometry/syntheticgeometry_16209noise_0.jpeg
null
False
null
There is a triangle FBJ 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_16209_triangle_3d171f2faaaaea07c41924a8caddda3611d4724d66740b7c71a23b8b8aada8ca
images/SyntheticGeometry/syntheticgeometry_26958noise_1.jpeg
null
False
null
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_26958_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_23999noise_1.jpeg
null
False
null
There is a triangle EHG 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_23999_triangle_01ddeee0be2238fe5faaf1852260f2f477fe3e3e9694413e80b2ac70b6b1fa0b
images/SyntheticGeometry/syntheticgeometry_10372noise_1.jpeg
null
False
null
There is a triangle MFG 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_10372_triangle_7413791068a869bc03942a7d57d129b690da6fa4986cf30caa6ee76e3e7d334f
images/SyntheticGeometry/syntheticgeometry_17917.png
null
False
null
There is a triangle DCB 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_17917_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_23368noise_0.jpeg
null
False
null
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_23368_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_20293noise_1.jpeg
null
False
null
There is a triangle EAH 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_20293_triangle_83880146b699f62de0c7323de5490fa0925bf3ddccaaaa80401525ef4a232fc6
images/SyntheticGeometry/syntheticgeometry_17272noise_1.jpeg
null
False
null
There is a triangle EHC 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_17272_triangle_6113f909dda04be1a743e8fd047ab083842d9c7b68d615801866ff5eeef9acd6
images/SyntheticGeometry/syntheticgeometry_09045noise_0.jpeg
null
False
null
There is a triangle CBF 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_09045_triangle_c6a65587244258c0610f3ad073f0ca9e0ebd4d28eeec93a395ff52b6f55e4916
images/SyntheticGeometry/syntheticgeometry_38813.png
null
False
null
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_38813_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_09010noise_0.jpeg
null
False
null
There is a triangle DCB 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_09010_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_33657noise_1.jpeg
null
False
null
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_33657_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_28839noise_1.jpeg
null
False
null
There is a triangle GJD 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_28839_triangle_7af10ee6ffebf1f372d77f4e4f321d5eb565d542d3a3c078c4b641a5ad928783
images/SyntheticGeometry/syntheticgeometry_11365.png
null
False
null
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_11365_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_04232noise_0.jpeg
null
False
null
There is a triangle JCB 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_04232_triangle_521bc7c8228347db7f775b346db882e191b1289f0c4ee434ddb976386923fc08
images/SyntheticGeometry/syntheticgeometry_20647noise_0.jpeg
null
False
null
There is a triangle CDI 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_20647_triangle_89551259752b3929c9e6ba4ff1fb338ee94a560737a7a905ac6316fa9d0ad935
images/SyntheticGeometry/syntheticgeometry_38228noise_1.jpeg
null
False
null
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_38228_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_31832noise_0.jpeg
null
False
null
There is a triangle ECF 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_31832_triangle_c82ff0aa8ae02c4eb604d79c0feb47b74c4f828b9a5415b1f04b00d09a0848d6
images/SyntheticGeometry/syntheticgeometry_38676noise_1.jpeg
null
False
null
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_38676_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_38657noise_1.jpeg
null
False
null
There is a triangle CDI 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_38657_triangle_89551259752b3929c9e6ba4ff1fb338ee94a560737a7a905ac6316fa9d0ad935
images/SyntheticGeometry/syntheticgeometry_05233.png
null
False
null
There is a triangle AGB 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_05233_triangle_ccddbc9b8809d62ae278a77d0ffaf44765aa48199c1d9e76ea7aae1067f71cf8
images/SyntheticGeometry/syntheticgeometry_09403noise_1.jpeg
null
False
null
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_09403_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_05829.png
null
False
null
There is a triangle CAK 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_05829_triangle_3c9e8945837f24a12a9b6fa2adcf7418e334fdad6dc1bd0b3c68d508bb21a8d2
images/SyntheticGeometry/syntheticgeometry_33345.png
null
False
null
There is a triangle EAD 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_33345_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_34579.png
null
False
null
There is a triangle BHE 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_34579_triangle_13e04bbe3361e1268e1cbefb312a1b16e3cf2a0f3139253a7cef8b54cf1f971e
images/SyntheticGeometry/syntheticgeometry_09521.png
null
False
null
There is a triangle AEB 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_09521_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_43346noise_1.jpeg
null
False
null
There is a triangle HFD 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_43346_triangle_7daab2166b3aa1f5cc5a9b01126c20e7855a2c236b1d569a7370244915065dc0
images/SyntheticGeometry/syntheticgeometry_13763noise_1.jpeg
null
False
null
There is a triangle FGH 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_13763_triangle_c3b8923417486b3f094a6306834c900927b8e106d51f76f7a1fc2398a2842283
images/SyntheticGeometry/syntheticgeometry_21900.png
null
False
null
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_21900_triangle_67c58581ec127067b29c03d95296be9cb36a20a82bb6650e1cd18278a5f5e5f3
images/SyntheticGeometry/syntheticgeometry_04831.png
null
False
null
There is a triangle ABC 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_04831_triangle_fdbb7deed4919661db806a19bac64f60e701eb1e461b2b7a86758d6d884de39c
images/SyntheticGeometry/syntheticgeometry_33544.png
null
False
null
There is a triangle BAJ 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_33544_triangle_e10907a77fd75300c5ec0edd72c257eb1176d00798e8420d72392e4dcb695274
images/SyntheticGeometry/syntheticgeometry_13768.png
null
False
null
There is a triangle EBC 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_13768_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_05293noise_0.jpeg
null
False
null
There is a triangle BFA 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_05293_triangle_d97cdff4b70d2b337d2f1f598292a865a9d190e06cd101d5e50d5edee5ad4049
images/SyntheticGeometry/syntheticgeometry_14355.png
null
False
null
There is a triangle CIB 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_14355_triangle_9c672482d4a6463e1f5ecda6e563ff835d4221096219d4a767004a50313198c7
images/SyntheticGeometry/syntheticgeometry_42916noise_0.jpeg
null
False
null
There is a triangle DFC 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_42916_triangle_5ebb277736b86ae78ff74732ba37f59dc4f76b4e81ae62c9c100e30f04280fd1
images/SyntheticGeometry/syntheticgeometry_26566noise_1.jpeg
null
False
null
There is a triangle CEG 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_26566_triangle_64031fd094ceb9d1dc46ae3099170f4d0633cb0df3136f380886acb3a1182b73
images/SyntheticGeometry/syntheticgeometry_29979noise_0.jpeg
null
False
null
There is a triangle DEJ 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_29979_triangle_c89f167806ad51d924ea7e02286caf9d946f27a9e3c2ae73375653b5b85d1a9a
images/SyntheticGeometry/syntheticgeometry_46101noise_0.jpeg
null
False
null
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_46101_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_02536.png
null
False
null
There is a triangle AEB 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_02536_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_28752noise_1.jpeg
null
False
null
There is a triangle AEB 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_28752_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_27822noise_0.jpeg
null
False
null
There is a triangle EBC 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_27822_triangle_3ee68f00f4002a53ce9472bc86ae0c05751b429884f8b8457646c56a81c40e41
images/SyntheticGeometry/syntheticgeometry_10567noise_1.jpeg
null
False
null
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_10567_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_43517noise_0.jpeg
null
False
null
There is a triangle JCB 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_43517_triangle_521bc7c8228347db7f775b346db882e191b1289f0c4ee434ddb976386923fc08
images/SyntheticGeometry/syntheticgeometry_43928.png
null
False
null
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_43928_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_02742noise_0.jpeg
null
False
null
There is a triangle BFE 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_02742_triangle_a5c333d30f3fc602cc4cf703089fe4d8ed87b4218b2d8dca7b3a6c8f0bb63a95
images/SyntheticGeometry/syntheticgeometry_33776noise_0.jpeg
null
False
null
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_33776_triangle_d6ae5d9891f14406dd39b720de381892ac443584400778d989c1b252bfcf1aa6
images/SyntheticGeometry/syntheticgeometry_34355noise_1.jpeg
null
False
null
There is a triangle FJK 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_34355_triangle_f77c7006f5668b795401c65fa972d7128d135506177feb04760c66d98c9c1c6b
images/SyntheticGeometry/syntheticgeometry_27453.png
null
False
null
There is a triangle LCA 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_27453_triangle_11c5dae257156435c5306bdf5a2dad7275d5ad99df172bf468128e971119d78d
images/SyntheticGeometry/syntheticgeometry_03886noise_0.jpeg
null
False
null
There is a triangle DCB 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_03886_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_35105noise_1.jpeg
null
False
null
There is a triangle CFA 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_35105_triangle_84e1406fc90fe8aecf443da06245c7fcb10aa4d56182512f0391a9be62eb7e97
images/SyntheticGeometry/syntheticgeometry_20418noise_1.jpeg
null
False
null
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_20418_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_21309.png
null
False
null
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_21309_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_12435noise_0.jpeg
null
False
null
There is a triangle FGH 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_12435_triangle_c3b8923417486b3f094a6306834c900927b8e106d51f76f7a1fc2398a2842283
images/SyntheticGeometry/syntheticgeometry_04762.png
null
False
null
There is a triangle AFD 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_04762_triangle_04d503d37c44fc398eb5424f1858dc4de13dc982b8eb813d828698eb263cd84f
images/SyntheticGeometry/syntheticgeometry_42107noise_0.jpeg
null
False
null
There is a triangle FEA 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_42107_triangle_08e169475c4d65243a08aa980efa9f32d07cd5e04aff7b941b8cfab67cf39908
images/SyntheticGeometry/syntheticgeometry_38569noise_1.jpeg
null
False
null
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_38569_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_36263noise_1.jpeg
null
False
null
There is a triangle HJI 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_36263_triangle_c12d758a7183c1988d79aa8f5f1dd77e79c159ffa099f817bac04359b6d90e22
images/SyntheticGeometry/syntheticgeometry_12052.png
null
False
null
There is a triangle BFA 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_12052_triangle_d97cdff4b70d2b337d2f1f598292a865a9d190e06cd101d5e50d5edee5ad4049
images/SyntheticGeometry/syntheticgeometry_38978.png
null
False
null
There is a triangle AEB 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_38978_triangle_ae62a92f26f9df287ea6dfa106b2a7a91e2802aefeb9c912e14c2d8c1835b00e
images/SyntheticGeometry/syntheticgeometry_03034noise_0.jpeg
null
False
null
There is a triangle IHK 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_03034_triangle_e5e263d5fe33a99920e5c1666202be4f9e211ef6442c58eadfad77a490c47213
images/SyntheticGeometry/syntheticgeometry_22871.png
null
False
null
There is a triangle EAD 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_22871_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_34849.png
null
False
null
There is a triangle DCB 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_34849_triangle_e9f3d9888c449fdd6ac03b339ba03d4f449e63015c84b74651df93ce560c30dd
images/SyntheticGeometry/syntheticgeometry_11074noise_1.jpeg
null
False
null
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_11074_triangle_3fbbfd26d8a710f18a3badb10554f5fe539d96525016a5a7b3a38a49d9747a53
images/SyntheticGeometry/syntheticgeometry_23624noise_1.jpeg
null
False
null
There is a triangle JGI 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_23624_triangle_e1663e872b2fed7b3d1d45979f717e866b28384e4b509a9e79f43caddc48c4b0
images/SyntheticGeometry/syntheticgeometry_37962.png
null
False
null
There is a triangle BDF 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_37962_triangle_92a097614c7e2def03eb3366cf877851638d27a22c91acece01b65336a443827
images/SyntheticGeometry/syntheticgeometry_30904.png
null
False
null
There is a triangle EAD 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_30904_triangle_478987d6402515f17f3de9f7ae54e7e47634aef876b035f8a03ef9aeb5ee1fc0
images/SyntheticGeometry/syntheticgeometry_44465noise_1.jpeg
null
False
null
There is a triangle FIG 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_44465_triangle_580f7e2830799fb9a4fa1aa293dd3e1d3dd01fe71c117a8a2905ed4c3d5bfd2d
images/SyntheticGeometry/syntheticgeometry_26155noise_0.jpeg
null
False
null
There is a triangle HGA 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_26155_triangle_352df71edcc85e2de8392318f4d89aa6e6570d053cfbc597577aba075d1df1e0
images/SyntheticGeometry/syntheticgeometry_02820noise_1.jpeg
null
False
null
There is a triangle DGI 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_02820_triangle_dd11cb69099f59c2ff1429b369cb08dc5dcd7a1e366128353e39c421379686d4
images/SyntheticGeometry/syntheticgeometry_49694noise_1.jpeg
null
False
null
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_49694_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_14431.png
null
False
null
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_14431_triangle_c816fe1dfe114c8d60a8d063902fa19e1849b3f9696257de044e98cf5f26e18d
images/SyntheticGeometry/syntheticgeometry_23086noise_0.jpeg
null
False
null
There is a triangle BEF 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_23086_triangle_a2bd11e2443cfc027f2eaacfe2482c93a2fb4944f0550cc286c53f64158a32b6
images/SyntheticGeometry/syntheticgeometry_02440.png
null
False
null
There is a triangle DFG 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_02440_triangle_26dae466f1c1099bc6b7352ee4fc539b04f7f6786da289371ebe2a553feb9b13
images/SyntheticGeometry/syntheticgeometry_16728noise_0.jpeg
null
False
null
There is a triangle BGD 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_16728_triangle_2c13e3cbf6f37fb59156530a3a9d7a9c915aa7bceb30ab48539b799be158e2cf
images/SyntheticGeometry/syntheticgeometry_31411.png
null
False
null
There is a triangle EAI 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_31411_triangle_5214774223d000c085a3298315ef529be10cc9d10663efad02c33306ba376ce5
images/SyntheticGeometry/syntheticgeometry_13541noise_1.jpeg
null
False
null
There is a triangle EHG 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_13541_triangle_01ddeee0be2238fe5faaf1852260f2f477fe3e3e9694413e80b2ac70b6b1fa0b
images/SyntheticGeometry/syntheticgeometry_23257noise_1.jpeg
null
False
null
There is a triangle JEC 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_23257_triangle_2ce91e5fef52d8715f5e633ff3a4b24d506a2df2dbc4e7b9a7ce20af46d4bd60
images/SyntheticGeometry/syntheticgeometry_31244noise_0.jpeg
null
False
null
There is a triangle CFA 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_31244_triangle_84e1406fc90fe8aecf443da06245c7fcb10aa4d56182512f0391a9be62eb7e97
images/SyntheticGeometry/syntheticgeometry_31174noise_0.jpeg
null
False
null
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_31174_triangle_e3574c029e88e5ab90cf5bf07ecd47413c104814c0de3765f933e2d34314864f
images/SyntheticGeometry/syntheticgeometry_49927.png
null
False
null
There is a triangle IBA 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_49927_triangle_bef0c8ea1ce526ae046ce3dc1b660907b334abaea52af0be2d5c80d2798b3c41
images/SyntheticGeometry/syntheticgeometry_25181noise_1.jpeg
null
False
null
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_25181_triangle_d962571c53c3cc52134e131b7b40d9aff76d470cf6e6ab50d57f93bdab52a32e
images/SyntheticGeometry/syntheticgeometry_13501noise_0.jpeg
null
False
null
There is a triangle DBJ 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_13501_triangle_3f73d4ba3fb97c5038056a8c324f3f15c4f309a8e2f13795678dfb049e80e831
images/SyntheticGeometry/syntheticgeometry_14519.png
null
False
null
There is a triangle CBG 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_14519_triangle_14e9f39a0dcfba350f24c8cacf4ce5855280d8a2128d8fc775fa54adf2983401