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geometry3k/train/1200/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, F)), 7); Equals(LengthOf(Line(F, D)), 3); Equals(LengthOf(Line(A, F)), 2); Equals(LengthOf(Line(F, C)), x); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(F, Line(C, D)); PointLiesOnCircle(A, Circle(E, radius_)); PointLiesOnCircle(B, Circle(E, radius_)); PointLiesOnCircle(C, Circle(E, radius_)); PointLiesOnCircle(D, Circle(E, radius_)); "
}
] |
geometry3k/train/1201/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, A)), 4); Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(H, C)), LengthOf(Line(B, H))); Perpendicular(Line(B, C), Line(A, H)); PointLiesOnLine(H, Line(C, B)); "
}
] |
geometry3k/train/1202/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, H, C)), x); Equals(MeasureOf(Angle(C, G, K)), 2x-54); PointLiesOnLine(C, Line(J, G)); PointLiesOnLine(C, Line(H, K)); PointLiesOnCircle(J, Circle(A, radius_)); PointLiesOnCircle(G, Circle(A, radius_)); PointLiesOnCircle(K, Circle(A, radius_)); PointLiesOnCircle(H, Circle(A, radius_)); "
}
] |
geometry3k/train/1203/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 57); Equals(MeasureOf(Angle(B, A, C)), 32); Equals(MeasureOf(Angle(A, C, B)), x); "
}
] |
geometry3k/train/1204/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 39); Equals(LengthOf(Line(C, H)), 5x-8); Equals(LengthOf(Line(D, A)), y); Equals(LengthOf(Line(B, A)), 41); Equals(LengthOf(Line(D, C)), 72-3x); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(D, Line(C, B)); PointLiesOnCircle(D, Circle(A, radius_)); PointLiesOnCircle(E, Circle(A, radius_)); PointLiesOnCircle(H, Circle(A, radius_)); "
}
] |
geometry3k/train/1205/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 10); PointLiesOnLine(H, Line(C, A)); PointLiesOnLine(G, Line(F, A)); PointLiesOnLine(I, Line(C, B)); PointLiesOnLine(J, Line(C, E)); PointLiesOnLine(B, Line(F, C)); PointLiesOnLine(I, Line(F, C)); PointLiesOnLine(D, Line(E, F)); PointLiesOnLine(B, Line(I, F)); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(E, Circle(B, radius_)); PointLiesOnCircle(F, Circle(B, radius_)); PointLiesOnCircle(D, Circle(B, radius_)); PointLiesOnCircle(G, Circle(B, radius_)); PointLiesOnCircle(H, Circle(B, radius_)); PointLiesOnCircle(I, Circle(B, radius_)); PointLiesOnCircle(J, Circle(B, radius_)); "
}
] |
geometry3k/train/1206/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(R, V), Line(S, V)); Perpendicular(Line(Z, Y), Line(Z, R)); PointLiesOnLine(Z, Line(Y, W)); PointLiesOnLine(V, Line(U, S)); PointLiesOnLine(Z, Line(X, R)); PointLiesOnLine(V, Line(R, T)); PointLiesOnCircle(Y, Circle(R, radius_)); PointLiesOnCircle(U, Circle(R, radius_)); PointLiesOnCircle(S, Circle(R, radius_)); PointLiesOnCircle(W, Circle(R, radius_)); PointLiesOnCircle(X, Circle(R, radius_)); PointLiesOnCircle(T, Circle(R, radius_)); "
}
] |
geometry3k/train/1207/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(F, B, A)), 46); Equals(MeasureOf(Angle(F, B, C)), 50); Equals(MeasureOf(Angle(E, B, A)), 57); Equals(MeasureOf(Angle(D, B, E)), 57); Equals(MeasureOf(Angle(G, B, C)), 70); Equals(MeasureOf(Angle(C, B, D)), 80); Equals(LengthOf(Line(A, B)), 6); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(D, Circle(B, radius_)); PointLiesOnCircle(E, Circle(B, radius_)); PointLiesOnCircle(F, Circle(B, radius_)); PointLiesOnCircle(G, Circle(B, radius_)); "
}
] |
geometry3k/train/1208/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, D, A)), 8x-8); Equals(MeasureOf(Angle(B, C, D)), 7y+2); Equals(MeasureOf(Angle(C, D, A)), 6y+16); Equals(MeasureOf(Angle(A, B, C)), 6x+14); "
}
] |
geometry3k/train/1209/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 2); Equals(LengthOf(Line(D, B)), 6); Perpendicular(Line(D, B), Line(C, D)); Perpendicular(Line(C, D), Line(C, B)); PointLiesOnLine(D, Line(B, A)); "
}
] |
geometry3k/train/1210/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 13); Equals(LengthOf(Line(L, A)), 5); Equals(LengthOf(Line(B, N)), x); Equals(LengthOf(Line(C, N)), 7); Equals(LengthOf(Line(L, D)), 6); PointLiesOnLine(M, Line(B, A)); PointLiesOnLine(L, Line(D, A)); PointLiesOnLine(N, Line(C, B)); PointLiesOnLine(P, Line(C, D)); PointLiesOnCircle(P, Circle(Q, radius_)); PointLiesOnCircle(N, Circle(Q, radius_)); PointLiesOnCircle(L, Circle(Q, radius_)); PointLiesOnCircle(M, Circle(Q, radius_)); "
}
] |
geometry3k/train/1211/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, J)), 4); Equals(MeasureOf(Angle(L, K, J)), 53); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J, Circle(K, radius_)); "
}
] |
geometry3k/train/1212/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(B, C), Line(A, C)); Equals(LengthOf(Line(B, A)), 35); Equals(LengthOf(Line(C, B)), 22); "
}
] |
geometry3k/train/1213/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), x); Equals(MeasureOf(Angle(B, A, C)), 30); Equals(LengthOf(Line(B, C)), 24); Equals(MeasureOf(Angle(A, C, B)), 47); "
}
] |
geometry3k/train/1215/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(P, Line(R, T)); PointLiesOnLine(P, Line(Q, S)); "
}
] |
geometry3k/train/1217/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 6); Equals(LengthOf(Line(Q, P)), 2x+1); Equals(LengthOf(Line(S, T)), 4); Equals(LengthOf(Line(T, P)), 10); Perpendicular(Line(R, S), Line(Q, T)); PointLiesOnLine(T, Line(S, P)); PointLiesOnLine(Q, Line(P, R)); "
}
] |
geometry3k/train/1218/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 12); Equals(LengthOf(Line(B, D)), 6); Equals(LengthOf(Line(B, E)), 3); Equals(LengthOf(Line(B, X)), x); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(B, Line(E, A)); PointLiesOnLine(B, Line(E, F)); PointLiesOnLine(B, Line(X, D)); PointLiesOnCircle(A, Circle(C, radius_)); PointLiesOnCircle(X, Circle(C, radius_)); PointLiesOnCircle(E, Circle(C, radius_)); PointLiesOnCircle(D, Circle(C, radius_)); "
}
] |
geometry3k/train/1219/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, V)), 3b+5); Equals(LengthOf(Line(S, T)), 15); Equals(LengthOf(Line(S, W)), x+11); "
}
] |
geometry3k/train/1220/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), y); Equals(LengthOf(Line(C, D)), x); Equals(LengthOf(Line(B, D)), 8); Equals(LengthOf(Line(D, A)), 3); Perpendicular(Line(C, A), Line(C, B)); Perpendicular(Line(B, D), Line(D, C)); PointLiesOnLine(D, Line(B, A)); "
}
] |
geometry3k/train/1222/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, A)), 24); Equals(LengthOf(Line(A, C)), 20); Equals(LengthOf(Line(B, C)), 27.5); Equals(MeasureOf(Angle(D, A, B)), MeasureOf(Angle(D, A, C))); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/1224/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, E)), x+6); Equals(LengthOf(Line(A, E)), 10); Equals(LengthOf(Line(B, E)), 11); Equals(LengthOf(Line(C, B)), y-7); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(E, Line(D, B)); "
}
] |
geometry3k/train/1226/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(H, G), Line(H, E)); PointLiesOnLine(K, Line(H, F)); PointLiesOnLine(K, Line(E, G)); "
}
] |
geometry3k/train/1228/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(R, P, T)), 60); Equals(LengthOf(Line(P, T)), 4); Equals(LengthOf(Line(R, P)), 4); "
}
] |
geometry3k/train/1230/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), x+7); Equals(MeasureOf(Angle(A, D, C)), 4x-6); Equals(LengthOf(Line(D, B)), 2x-15); Perpendicular(Line(D, A), Line(B, D)); PointLiesOnLine(D, Line(B, C)); "
}
] |
geometry3k/train/1233/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(N, O)), 20); Equals(LengthOf(Line(P, Q)), 30); Perpendicular(Line(H, A), Line(Q, P)); PointLiesOnLine(A, Line(H, A)); PointLiesOnLine(H, Line(P, Q)); "
}
] |
geometry3k/train/1235/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(J, D, K)), 4x); Equals(MeasureOf(Angle(D, M, A)), 56); Equals(MeasureOf(Angle(E, L, O)), 3y-11); Parallel(Line(J, P), Line(B, A)); Parallel(Line(B, A), Line(O, G)); Parallel(Line(O, G), Line(J, P)); PointLiesOnLine(D, Line(P, J)); PointLiesOnLine(M, Line(B, A)); PointLiesOnLine(L, Line(O, G)); PointLiesOnLine(D, Line(K, M)); PointLiesOnLine(D, Line(L, K)); PointLiesOnLine(D, Line(E, K)); PointLiesOnLine(M, Line(L, D)); PointLiesOnLine(M, Line(K, L)); PointLiesOnLine(M, Line(E, D)); PointLiesOnLine(M, Line(K, E)); PointLiesOnLine(L, Line(M, E)); PointLiesOnLine(L, Line(D, E)); PointLiesOnLine(L, Line(K, E)); "
}
] |
geometry3k/train/1236/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(N, Line(K, M)); PointLiesOnLine(N, Line(J, L)); "
}
] |
geometry3k/train/1237/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(D, Line(A, C)); "
}
] |
geometry3k/train/1238/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Line(A, N, E)), 2x-15); Equals(MeasureOf(Angle(E, G, B)), x+55); Parallel(Line(A, H), Line(C, B)); PointLiesOnLine(E, Line(H, A)); PointLiesOnLine(G, Line(C, B)); "
}
] |
geometry3k/train/1243/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 2x+7); Equals(MeasureOf(Angle(Y, B, C)), 2y-5); Equals(MeasureOf(Angle(B, Y, A)), 2x+21); Equals(LengthOf(Line(Y, A)), x+9); "
}
] |
geometry3k/train/1245/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(A, B)), 5); Perpendicular(Line(A, C), Line(A, B)); "
}
] |
geometry3k/train/1246/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, E, N)), 2x); Equals(MeasureOf(Angle(C, G, F)), 6x-144); PointLiesOnLine(I, Line(A, E)); PointLiesOnLine(E, Line(N, A)); PointLiesOnLine(I, Line(N, A)); PointLiesOnLine(H, Line(B, E)); PointLiesOnLine(G, Line(E, C)); PointLiesOnLine(E, Line(N, I)); PointLiesOnLine(F, Line(D, I)); PointLiesOnLine(H, Line(I, J)); PointLiesOnLine(G, Line(F, T)); PointLiesOnLine(F, Line(T, K)); PointLiesOnLine(G, Line(T, K)); PointLiesOnLine(I, Line(F, H)); PointLiesOnLine(H, Line(J, F)); PointLiesOnLine(I, Line(J, F)); PointLiesOnLine(E, Line(B, G)); PointLiesOnLine(H, Line(G, B)); PointLiesOnLine(E, Line(G, H)); PointLiesOnLine(F, Line(K, G)); PointLiesOnLine(E, Line(C, B)); PointLiesOnLine(G, Line(B, C)); PointLiesOnLine(H, Line(C, B)); PointLiesOnLine(E, Line(C, H)); PointLiesOnLine(G, Line(H, C)); PointLiesOnLine(F, Line(D, H)); PointLiesOnLine(I, Line(H, D)); PointLiesOnLine(F, Line(D, J)); PointLiesOnLine(H, Line(D, J)); PointLiesOnLine(I, Line(J, D)); "
}
] |
geometry3k/train/1248/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(X, A), Line(A, Y)); Equals(LengthOf(Line(A, X)), 16); "
}
] |
geometry3k/train/1249/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(A, C, B)), 62); Equals(LengthOf(Line(A, C)), 60); Perpendicular(Line(A, B), Line(B, C)); "
}
] |
geometry3k/train/1251/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, B, C)), 3y+4); Equals(MeasureOf(Angle(B, A, D)), 58); Equals(MeasureOf(Angle(A, D, C)), 2y+16); Equals(MeasureOf(Angle(B, C, D)), 2x); PointLiesOnCircle(C, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); PointLiesOnCircle(D, Circle(O, radius_)); PointLiesOnCircle(A, Circle(O, radius_)); "
}
] |
geometry3k/train/1252/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, C, A)), 87); Equals(LengthOf(Line(A, C)), 21); Equals(MeasureOf(Angle(A, B, C)), 37); Equals(LengthOf(Line(A, B)), x); "
}
] |
geometry3k/train/1254/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(K, J, M)), x); Equals(LengthOf(Line(K, J)), 2.1); Equals(LengthOf(Line(J, M)), 1.3); Equals(LengthOf(Line(K, M)), 1.9); "
}
] |
geometry3k/train/1255/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), 73); Equals(LengthOf(Line(A, B)), 32); Equals(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(A, B, C)), 51); "
}
] |
geometry3k/train/1258/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, A, B)), 60); Equals(LengthOf(Line(A, B)), 12); Equals(LengthOf(Line(A, C)), 12); "
}
] |
geometry3k/train/1259/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(F, H)), 10); Equals(LengthOf(Line(C, H)), 7); Equals(LengthOf(Line(E, H)), 6); Equals(LengthOf(Line(E, F)), 11); PointLiesOnLine(C, Line(B, D)); PointLiesOnLine(H, Line(B, E)); PointLiesOnLine(B, Line(A, D)); PointLiesOnLine(C, Line(D, A)); PointLiesOnLine(F, Line(G, E)); PointLiesOnLine(H, Line(F, C)); PointLiesOnLine(B, Line(C, A)); "
}
] |
geometry3k/train/1260/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, F)), x); Equals(LengthOf(Line(F, D)), 6); Equals(LengthOf(Line(F, E)), 4); Equals(LengthOf(Line(B, F)), 8); PointLiesOnLine(F, Line(B, C)); PointLiesOnLine(F, Line(E, D)); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(D, Circle(A, radius_)); PointLiesOnCircle(E, Circle(A, radius_)); "
}
] |
geometry3k/train/1261/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, C)), 4x); Equals(MeasureOf(Angle(C, B, A)), 2x); "
}
] |
geometry3k/train/1262/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 5); Equals(LengthOf(Line(D, C)), y); Equals(MeasureOf(Angle(C, B, D)), 45); Perpendicular(Line(C, A), Line(B, C)); Perpendicular(Line(C, D), Line(D, A)); PointLiesOnLine(D, Line(B, A)); "
}
] |
geometry3k/train/1264/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 18); Equals(LengthOf(Line(D, A)), 9); Equals(LengthOf(Line(D, C)), 6); Perpendicular(Line(F, D), Line(D, A)); Perpendicular(Line(C, D), Line(B, C)); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(D, Line(A, C)); "
}
] |
geometry3k/train/1265/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Arc(G, C)), 148); Equals(MeasureOf(Arc(H, B)), 128); PointLiesOnLine(G, Line(C, F)); PointLiesOnLine(H, Line(C, F)); PointLiesOnLine(H, Line(C, G)); PointLiesOnLine(B, Line(E, F)); PointLiesOnLine(G, Line(F, H)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(G, Circle(D, radius_)); PointLiesOnCircle(H, Circle(D, radius_)); "
}
] |
geometry3k/train/1268/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(E, D, F)), MeasureOf(Angle(7))); Equals(MeasureOf(Angle(F, D, A)), 140); PointLiesOnLine(D, Line(A, E)); PointLiesOnLine(F, Line(D, C)); PointLiesOnCircle(D, Circle(B, radius_)); PointLiesOnCircle(F, Circle(B, radius_)); "
}
] |
geometry3k/train/1269/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(B, A, C)), 30); Equals(MeasureOf(Angle(B, C, A)), 30); Equals(LengthOf(Line(B, C)), 10); "
}
] |
geometry3k/train/1270/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(C, Line(J, L)); PointLiesOnLine(C, Line(M, K)); "
}
] |
geometry3k/train/1274/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 11\\sqrt{2}); Equals(MeasureOf(Angle(A, C, B)), 45); Equals(LengthOf(Line(C, B)), x); Equals(LengthOf(Line(B, A)), 11\\sqrt{2}); Perpendicular(Line(C, A), Line(A, B)); "
}
] |
geometry3k/train/1275/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 8.8); Equals(LengthOf(Line(A, D)), x); Equals(LengthOf(Line(A, B)), y); Equals(LengthOf(Line(C, B)), z); Equals(LengthOf(Line(D, B)), 8.5); Perpendicular(Line(D, B), Line(B, C)); PointLiesOnLine(A, Line(D, C)); "
}
] |
geometry3k/train/1278/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Q, S, R)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(R, S, M))); Equals(LengthOf(Line(N, S)), LengthOf(Line(S, Q))); PointLiesOnLine(S, Line(Q, N)); PointLiesOnLine(R, Line(M, Q)); "
}
] |
geometry3k/train/1282/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, C, B)), 25x); Equals(MeasureOf(Angle(B, C, D)), 40); Equals(MeasureOf(Angle(C, B, A)), 10y); Equals(MeasureOf(Angle(D, B, C)), 100); "
}
] |
geometry3k/train/1285/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, D)), 27); Equals(LengthOf(Line(A, C)), b); Equals(LengthOf(Line(B, D)), 15); Equals(LengthOf(Line(C, B)), 28); Equals(MeasureOf(Angle(A, D, C)), MeasureOf(Angle(A, D, B))); PointLiesOnLine(A, Line(C, B)); "
}
] |
geometry3k/train/1287/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 15); Equals(LengthOf(Line(C, D)), 8); Perpendicular(Line(D, B), Line(D, C)); PointLiesOnLine(A, Line(B, C)); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(D, Circle(A, radius_)); "
}
] |
geometry3k/train/1289/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), y); Equals(LengthOf(Line(C, B)), z); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(A, D)), 9); Equals(LengthOf(Line(C, D)), 4); Perpendicular(Line(B, A), Line(C, B)); Perpendicular(Line(B, D), Line(D, C)); PointLiesOnLine(D, Line(C, A)); "
}
] |
geometry3k/train/1296/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 32); Equals(MeasureOf(Angle(S, C, E)), 30); Equals(LengthOf(Line(E, S)), 12); Perpendicular(Line(E, C), Line(E, B)); PointLiesOnLine(E, Line(B, S)); "
}
] |
geometry3k/train/1299/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(R, Line(Q, S)); PointLiesOnLine(V, Line(Q, U)); PointLiesOnLine(P, Line(Q, T)); PointLiesOnLine(T, Line(S, U)); PointLiesOnLine(P, Line(S, V)); PointLiesOnLine(P, Line(U, R)); "
}
] |
geometry3k/train/1300/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), 3\\sqrt{2}); Equals(LengthOf(Line(D, C)), z); Equals(LengthOf(Line(D, B)), \\sqrt{2}); Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(B, A)), x); Perpendicular(Line(C, D), Line(B, D)); Perpendicular(Line(C, B), Line(B, A)); PointLiesOnLine(D, Line(C, A)); "
}
] |
geometry3k/train/1302/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, Q)), 3x+8); Equals(LengthOf(Line(R, S)), 26); PointLiesOnCircle(S, Circle(T, radius_)); PointLiesOnCircle(Q, Circle(T, radius_)); "
}
] |
geometry3k/train/1304/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 12); Equals(LengthOf(Line(E, C)), 6); Equals(LengthOf(Line(A, B)), x); Equals(LengthOf(Line(A, E)), x); PointLiesOnCircle(E, Circle(A, radius_)); PointLiesOnCircle(B, Circle(A, radius_)); "
}
] |
geometry3k/train/1306/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, B)), 3.2); Equals(LengthOf(Line(A, D)), 1.1); Perpendicular(Line(A, D), Line(A, C)); "
}
] |
geometry3k/train/1308/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), 12); Equals(LengthOf(Line(A, B)), 16); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(A, B)); "
}
] |
geometry3k/train/1309/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(2)), MeasureOf(Angle(B, C, A))); Equals(MeasureOf(Angle(B, C, E)), MeasureOf(Angle(1))); Equals(LengthOf(Line(D, C)), LengthOf(Line(C, A))); PointLiesOnLine(B, Line(A, E)); PointLiesOnLine(C, Line(D, A)); "
}
] |
geometry3k/train/1312/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, P)), 10); Perpendicular(Line(S, R), Line(S, P)); PointLiesOnLine(S, Line(Q, R)); "
}
] |
geometry3k/train/1314/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, X)), 4x+12); Equals(MeasureOf(Angle(G, B, D)), 33); Equals(MeasureOf(Angle(B, C, X)), 57); Equals(MeasureOf(Angle(C, B, A)), 33); Equals(MeasureOf(Angle(E, C, F)), 57); Equals(LengthOf(Line(E, C)), 12x-26); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(X, Line(B, D)); PointLiesOnLine(C, Line(G, B)); PointLiesOnLine(B, Line(C, F)); PointLiesOnLine(B, Line(F, G)); PointLiesOnLine(C, Line(F, G)); "
}
] |
geometry3k/train/1315/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(E, H)), 7); Equals(LengthOf(Line(B, F)), x); Equals(LengthOf(Line(A, H)), 7); Equals(LengthOf(Line(A, F)), 5); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(H, Line(A, E)); PointLiesOnCircle(E, Circle(C, radius_)); PointLiesOnCircle(H, Circle(C, radius_)); PointLiesOnCircle(G, Circle(C, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(F, Circle(D, radius_)); PointLiesOnCircle(G, Circle(D, radius_)); "
}
] |
geometry3k/train/1319/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(D, C)), x+4); Equals(LengthOf(Line(A, B)), 10); PointLiesOnLine(C, Line(D, A)); PointLiesOnCircle(D, Circle(E, radius_)); PointLiesOnCircle(B, Circle(E, radius_)); PointLiesOnCircle(C, Circle(E, radius_)); "
}
] |
geometry3k/train/1320/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "PointLiesOnLine(G, Line(H, F)); PointLiesOnLine(J, Line(H, K)); "
}
] |
geometry3k/train/1323/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 8); Equals(LengthOf(Line(A, C)), 4); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line(A, B)); "
}
] |
geometry3k/train/1324/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(J, K)), 8.5); Equals(LengthOf(Line(K, M)), 5); Equals(LengthOf(Line(L, K)), 4); Perpendicular(Line(L, M), Line(K, L)); PointLiesOnLine(L, Line(J, M)); "
}
] |
geometry3k/train/1325/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 12); "
}
] |
geometry3k/train/1328/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(C, B, A)), 3x+8); Equals(MeasureOf(Angle(C, A, B)), 2x+20); Equals(LengthOf(Line(A, C)), LengthOf(Line(B, A))); "
}
] |
geometry3k/train/1330/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, A)), 2y+3); Equals(LengthOf(Line(E, A)), 2x+4); Equals(LengthOf(Line(D, A)), 3y+5); Equals(LengthOf(Line(B, A)), 4y-11); PointLiesOnLine(A, Line(B, C)); PointLiesOnLine(A, Line(D, E)); "
}
] |
geometry3k/train/1335/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, E)), 3x); PointLiesOnLine(E, Line(D, B)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/1338/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(D, A)), x); Equals(LengthOf(Line(D, E)), 9); Equals(LengthOf(Line(A, E)), 12); Perpendicular(Line(E, A), Line(E, D)); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(E, Line(C, D)); "
}
] |
geometry3k/train/1339/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, I)), 7); Equals(LengthOf(Line(B, H)), 3); "
}
] |
geometry3k/train/1340/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(X, V), Line(W, V)); Perpendicular(Line(R, T), Line(S, T)); PointLiesOnLine(T, Line(Y, S)); PointLiesOnLine(A, Line(Y, S)); PointLiesOnLine(T, Line(A, S)); PointLiesOnLine(Q, Line(Y, R)); PointLiesOnLine(A, Line(Y, T)); PointLiesOnLine(Y, Line(X, R)); PointLiesOnLine(Q, Line(R, X)); PointLiesOnLine(V, Line(W, A)); PointLiesOnLine(A, Line(Q, V)); PointLiesOnLine(Y, Line(Q, X)); PointLiesOnLine(V, Line(Q, W)); PointLiesOnLine(A, Line(Q, W)); "
}
] |
geometry3k/train/1341/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(D, C, B)), 101); Parallel(Line(C, D), Line(A, B)); Equals(LengthOf(Line(C, B)), LengthOf(Line(D, A))); "
}
] |
geometry3k/train/1344/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, C)), 36); Equals(LengthOf(Line(B, D)), w+4); Equals(LengthOf(Line(D, A)), 6); Equals(LengthOf(Line(C, D)), 24); Perpendicular(Line(C, B), Line(A, B)); Perpendicular(Line(D, C), Line(D, B)); PointLiesOnLine(D, Line(A, C)); "
}
] |
geometry3k/train/1345/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, I)), 15); Equals(LengthOf(Line(C, A)), 10); Equals(MeasureOf(Angle(A, C, I)), 45); "
}
] |
geometry3k/train/1347/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 21); Equals(LengthOf(Line(C, D)), 7); Perpendicular(Line(B, D), Line(B, A)); Perpendicular(Line(C, D), Line(B, D)); PointLiesOnLine(D, Line(A, C)); "
}
] |
geometry3k/train/1350/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(K, L)), 21); Equals(LengthOf(Line(A, B)), 57); PointLiesOnLine(A, Line(K, J)); PointLiesOnLine(B, Line(L, M)); "
}
] |
geometry3k/train/1352/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), 15); Equals(LengthOf(Line(A, C)), 3); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/1353/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, E)), 8); Equals(LengthOf(Line(D, E)), 8); Perpendicular(Line(H, K), Line(K, D)); Perpendicular(Line(E, H), Line(H, K)); Perpendicular(Line(H, E), Line(D, E)); Perpendicular(Line(D, K), Line(D, E)); "
}
] |
geometry3k/train/1354/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(H, E)), 9); PointLiesOnLine(A, Line(H, G)); PointLiesOnLine(B, Line(H, E)); PointLiesOnLine(D, Line(G, F)); PointLiesOnLine(C, Line(E, F)); "
}
] |
geometry3k/train/1355/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, F)), 5); "
}
] |
geometry3k/train/1357/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(R, T)), 13); Equals(LengthOf(Line(X, Y)), 7); Equals(MeasureOf(Angle(Z, X, Y)), 124); PointLiesOnLine(Y, Line(R, T)); PointLiesOnLine(X, Line(R, S)); PointLiesOnLine(Z, Line(T, S)); "
}
] |
geometry3k/train/1359/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(P, Q, R)), 128); Equals(LengthOf(Line(S, P)), 3); Equals(LengthOf(Line(R, S)), 5); "
}
] |
geometry3k/train/1362/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, D)), 46); Equals(LengthOf(Line(A, B)), x); Equals(MeasureOf(Angle(A, C, D)), 73); Perpendicular(Line(B, A), Line(C, D)); Equals(LengthOf(Line(A, C)), LengthOf(Line(A, D))); PointLiesOnLine(B, Line(D, C)); "
}
] |
geometry3k/train/1363/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(T, S)), 8); Equals(LengthOf(Line(R, Q)), 12); Equals(LengthOf(Line(R, S)), x); PointLiesOnLine(R, Line(A, S)); PointLiesOnLine(T, Line(S, Q)); PointLiesOnCircle(T, Circle(Q, radius_)); PointLiesOnCircle(R, Circle(Q, radius_)); "
}
] |
geometry3k/train/1365/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": ""
}
] |
geometry3k/train/1366/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(K, J, M)), 59); Equals(MeasureOf(Angle(K, L, M)), 67); Equals(LengthOf(Line(J, M)), LengthOf(Line(K, J))); Equals(LengthOf(Line(L, M)), LengthOf(Line(L, K))); "
}
] |
geometry3k/train/1369/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(A, B)), y); Equals(LengthOf(Line(C, B)), 3); Equals(MeasureOf(Angle(C, A, B)), 45); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(A, C), Line(C, B)); "
}
] |
geometry3k/train/1371/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(C, B)), 20); Equals(LengthOf(Line(A, B)), x); Equals(MeasureOf(Angle(B, A, C)), 45); Equals(LengthOf(Line(A, C)), 20); Perpendicular(Line(C, A), Line(B, C)); "
}
] |
geometry3k/train/1372/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(A, O, B)), 127); Equals(LengthOf(Line(B, A)), 5x); Equals(LengthOf(Line(D, C)), 3x+6); Equals(MeasureOf(Angle(C, O, D)), 127); PointLiesOnCircle(B, Circle(O, radius_)); PointLiesOnCircle(D, Circle(O, radius_)); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(C, Circle(O, radius_)); "
}
] |
geometry3k/train/1374/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(M, N)), 16); Equals(LengthOf(Line(L, N)), 12); Equals(LengthOf(Line(L, M)), x); PointLiesOnLine(F, Line(M, L)); PointLiesOnCircle(F, Circle(L, radius_)); PointLiesOnCircle(N, Circle(L, radius_)); "
}
] |
geometry3k/train/1376/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(B, D)), 5x); Perpendicular(Line(D, E), Line(B, D)); PointLiesOnLine(D, Line(E, C)); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(E, Circle(B, radius_)); "
}
] |
geometry3k/train/1380/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Perpendicular(Line(D, G), Line(G, F)); PointLiesOnLine(B, Line(G, E)); PointLiesOnLine(B, Line(F, D)); "
}
] |
geometry3k/train/1381/img_diagram.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(MeasureOf(Angle(Z, X, Y)), 2 * a); Equals(MeasureOf(Angle(Y, Z, X)), a/2); Perpendicular(Line(X, Y), Line(Y, Z)); "
}
] |
geometry3k/train/1382/img_diagram_point.png
|
[
{
"from": "human",
"value": "<image>\nPlease use geometric formal language to describe the diagram. Your response could be empty."
},
{
"from": "gpt",
"value": "Equals(LengthOf(Line(W, B)), 8); Equals(LengthOf(Line(B, X)), s-7); Equals(LengthOf(Line(Y, B)), 6); Equals(LengthOf(Line(Z, B)), 2t-6); PointLiesOnLine(B, Line(Z, W)); PointLiesOnLine(B, Line(X, Y)); "
}
] |
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