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stringlengths 34
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geometry3k/train/1384/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)), 4); Equals(LengthOf(Line(D, A)), 12); Equals(LengthOf(Line(D, C)), 5.5); Equals(LengthOf(Line(A, C)), x); Equals(MeasureOf(Angle(B, C, A)), MeasureOf(Angle(D, C, B))); PointLiesOnLine(B, Line(D, A)); "
}
] |
geometry3k/train/1388/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(3)), MeasureOf(Angle(M, J, K))); Equals(MeasureOf(Angle(J, K, L)), 28); Equals(MeasureOf(Angle(M, K, L)), 71); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(K, L, J))); Equals(MeasureOf(Angle(M, L, K)), 57); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(J, M, K))); PointLiesOnLine(L, Line(M, J)); "
}
] |
geometry3k/train/1389/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)), x); Equals(MeasureOf(Angle(D, A, C)), x); Equals(MeasureOf(Angle(B, A, D)), x); "
}
] |
geometry3k/train/1394/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, G)), 5); Equals(LengthOf(Line(D, G)), 6.5); Equals(LengthOf(Line(D, E)), 6.5); Perpendicular(Line(D, F), Line(E, F)); PointLiesOnLine(F, Line(E, G)); "
}
] |
geometry3k/train/1395/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, M)), 11); Equals(MeasureOf(Angle(P, N, M)), 120); Equals(MeasureOf(Angle(N, P, M)), MeasureOf(Angle(N, M, P))); "
}
] |
geometry3k/train/1399/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(M, P)), 3); Equals(MeasureOf(Angle(P, M, Q)), x); Equals(LengthOf(Line(M, Q)), 6); Equals(LengthOf(Line(Q, P)), 8); "
}
] |
geometry3k/train/1400/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)), 10); Perpendicular(Line(A, I), Line(A, C)); PointLiesOnCircle(A, Circle(N, radius_)); PointLiesOnCircle(C, Circle(N, radius_)); PointLiesOnCircle(E, Circle(N, radius_)); PointLiesOnCircle(I, Circle(N, radius_)); "
}
] |
geometry3k/train/1405/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, C, D)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(F, C, A))); Equals(MeasureOf(Angle(D, C, G)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(G, C, A)), MeasureOf(Angle(4))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(C, G, H))); Equals(MeasureOf(Angle(6)), MeasureOf(Angle(B, G, C))); Equals(MeasureOf(Angle(8)), MeasureOf(Angle(H, G, E))); Equals(MeasureOf(Angle(5)), MeasureOf(Angle(E, G, B))); PointLiesOnLine(G, Line(C, E)); PointLiesOnLine(C, Line(D, A)); PointLiesOnLine(C, Line(F, E)); PointLiesOnLine(G, Line(F, E)); PointLiesOnLine(C, Line(F, G)); PointLiesOnLine(G, Line(H, B)); "
}
] |
geometry3k/train/1407/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, L, Q)), 26); Equals(LengthOf(Line(J, P)), 20); Equals(MeasureOf(Angle(Q, K, M)), 29); Equals(LengthOf(Line(Q, J)), 25); Perpendicular(Line(Q, P), Line(L, P)); Perpendicular(Line(M, L), Line(Q, M)); Perpendicular(Line(K, N), Line(N, Q)); PointLiesOnLine(N, Line(J, K)); PointLiesOnLine(P, Line(J, L)); PointLiesOnLine(M, Line(L, K)); "
}
] |
geometry3k/train/1408/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)), 9); Equals(LengthOf(Line(C, B)), 9); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(C, A)), 12); Perpendicular(Line(B, D), Line(D, A)); PointLiesOnLine(D, Line(C, A)); "
}
] |
geometry3k/train/1414/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(S, R)), 6x+2); Equals(LengthOf(Line(R, T)), 4x+3); Equals(LengthOf(Line(W, R)), 12); Equals(LengthOf(Line(S, W)), 16); Equals(LengthOf(Line(T, W)), 9); Perpendicular(Line(T, W), Line(W, R)); PointLiesOnLine(W, Line(S, T)); "
}
] |
geometry3k/train/1415/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(D, B, C)), 7x-8); Equals(MeasureOf(Angle(B, C, A)), 5y-3); Equals(MeasureOf(Angle(D, A, C)), 5x); Equals(MeasureOf(Angle(A, D, B)), 4x+7); PointLiesOnLine(I, Line(D, B)); PointLiesOnLine(I, Line(A, C)); PointLiesOnCircle(D, Circle(J, radius_)); PointLiesOnCircle(B, Circle(J, radius_)); PointLiesOnCircle(C, Circle(J, radius_)); PointLiesOnCircle(A, Circle(J, radius_)); "
}
] |
geometry3k/train/1417/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(B, C)), 96); Equals(MeasureOf(Angle(B, A, C)), MeasureOf(Angle(1))); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/1418/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(I, F)), 16); Equals(LengthOf(Line(F, B)), 14); Equals(LengthOf(Line(H, I)), 12); Equals(LengthOf(Line(B, C)), 24); Perpendicular(Line(H, I), Line(C, B)); Parallel(Line(B, C), Line(F, I)); "
}
] |
geometry3k/train/1422/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)), x); Equals(MeasureOf(Angle(L, K, J)), 152); PointLiesOnCircle(L, Circle(K, radius_)); PointLiesOnCircle(J, Circle(K, radius_)); "
}
] |
geometry3k/train/1426/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(D, E, A)), 95); Equals(MeasureOf(Angle(A, F, D)), 120); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(E, Line(B, D)); PointLiesOnCircle(C, Circle(F, radius_)); PointLiesOnCircle(A, Circle(F, radius_)); PointLiesOnCircle(D, Circle(F, radius_)); PointLiesOnCircle(B, Circle(F, radius_)); "
}
] |
geometry3k/train/1427/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)), 55); Equals(LengthOf(Line(E, C)), x+4); Equals(MeasureOf(Angle(E, A, D)), 60); Equals(MeasureOf(Angle(A, B, C)), 5y); Equals(LengthOf(Line(D, E)), 3x-6); PointLiesOnLine(E, Line(B, A)); PointLiesOnLine(E, Line(C, D)); "
}
] |
geometry3k/train/1430/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(L, M, N)), y+10); Equals(LengthOf(Line(Q, R)), 3x-9); Equals(LengthOf(Line(M, L)), 2x+11); Equals(MeasureOf(Angle(S, R, Q)), 2y-40); "
}
] |
geometry3k/train/1435/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(S, Q)), x); Equals(LengthOf(Line(T, Q)), 20); Equals(LengthOf(Line(R, S)), 12); Equals(LengthOf(Line(T, P)), 16); Parallel(Line(P, T), Line(R, S)); PointLiesOnLine(R, Line(P, Q)); PointLiesOnLine(S, Line(Q, T)); "
}
] |
geometry3k/train/1436/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, C, F)), 3x - 14); Equals(MeasureOf(Angle(A, X, N)), 2x+25); PointLiesOnLine(X, Line(A, C)); PointLiesOnLine(C, Line(A, E)); PointLiesOnLine(X, Line(A, E)); PointLiesOnLine(C, Line(E, X)); PointLiesOnLine(C, Line(T, F)); PointLiesOnLine(X, Line(N, D)); "
}
] |
geometry3k/train/1437/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(P, Q), Line(N, M)); PointLiesOnLine(Q, Line(M, N)); "
}
] |
geometry3k/train/1440/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, B)), 6x); Equals(MeasureOf(Angle(Y, D, E)), 3x); Perpendicular(Line(D, A), Line(D, Y)); PointLiesOnLine(D, Line(B, Y)); "
}
] |
geometry3k/train/1441/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(G, E, L)), 5x+2); Equals(MeasureOf(Angle(A, E, I)), 62); PointLiesOnLine(E, Line(A, G)); PointLiesOnLine(E, Line(I, L)); "
}
] |
geometry3k/train/1442/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(S, T)), 2y-8); Equals(LengthOf(Line(C, B)), y+13); Equals(MeasureOf(Angle(R, S, T)), 5x+20); Equals(MeasureOf(Angle(C, B, A)), 3x+40); "
}
] |
geometry3k/train/1443/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)), 17); Equals(LengthOf(Line(B, C)), 14); Equals(LengthOf(Line(A, C)), x); PointLiesOnLine(F, Line(B, A)); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(F, Circle(A, radius_)); "
}
] |
geometry3k/train/1445/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(Y, Z)), 4x+5); Equals(MeasureOf(Angle(Y, W, Z)), 33); Equals(MeasureOf(Angle(Y, W, X)), 33); Equals(LengthOf(Line(X, Y)), 6x-3); Perpendicular(Line(W, Z), Line(Z, Y)); Perpendicular(Line(X, Y), Line(X, W)); "
}
] |
geometry3k/train/1449/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(W, A, X)), MeasureOf(Angle(11))); Equals(MeasureOf(Angle(7)), MeasureOf(Angle(Y, W, A))); Equals(MeasureOf(Angle(A, Y, W)), MeasureOf(Angle(6))); Equals(MeasureOf(Angle(X, W, Z)), MeasureOf(Angle(8))); Equals(MeasureOf(Angle(X, A, Z)), MeasureOf(Angle(10))); Equals(MeasureOf(Angle(W, A, Y)), MeasureOf(Angle(9))); Equals(MeasureOf(Angle(X, Z, W)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(W, X, A)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(X, Y, Z)), MeasureOf(Angle(5))); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(Y, Z, A))); Equals(MeasureOf(Angle(12)), MeasureOf(Angle(Z, A, Y))); Equals(MeasureOf(Angle(Z, X, Y)), MeasureOf(Angle(2))); Perpendicular(Line(Y, Z), Line(W, Y)); PointLiesOnLine(A, Line(Z, W)); PointLiesOnLine(A, Line(X, Y)); "
}
] |
geometry3k/train/1450/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, S)), 21); Equals(LengthOf(Line(R, T)), 44); Perpendicular(Line(R, S), Line(T, S)); "
}
] |
geometry3k/train/1451/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(X, Y)); "
}
] |
geometry3k/train/1454/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)), 8); Equals(LengthOf(Line(A, B)), 4); Equals(LengthOf(Line(A, D)), 3); Equals(LengthOf(Line(E, D)), x); PointLiesOnLine(B, Line(A, C)); PointLiesOnLine(D, Line(A, E)); PointLiesOnCircle(C, Circle(O, radius_)); PointLiesOnCircle(E, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); PointLiesOnCircle(F, Circle(O, radius_)); "
}
] |
geometry3k/train/1457/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(P, K)), x+1); Equals(LengthOf(Line(K, J)), x+10); Equals(LengthOf(Line(M, K)), x+8); Equals(LengthOf(Line(L, K)), x); PointLiesOnLine(K, Line(P, M)); PointLiesOnLine(K, Line(J, L)); PointLiesOnCircle(P, Circle(O, radius_)); PointLiesOnCircle(M, Circle(O, radius_)); PointLiesOnCircle(J, Circle(O, radius_)); PointLiesOnCircle(L, Circle(O, radius_)); "
}
] |
geometry3k/train/1458/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)), y); Equals(LengthOf(Line(A, C)), 14); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(B, A), Line(A, C)); "
}
] |
geometry3k/train/1459/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)), 19.6); Equals(LengthOf(Line(A, C)), 16.2); Equals(MeasureOf(Angle(C, B, A)), x); Equals(LengthOf(Line(A, B)), 20); "
}
] |
geometry3k/train/1464/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)), 24); Equals(LengthOf(Line(A, X)), x); Equals(LengthOf(Line(B, C)), 7); PointLiesOnLine(X, Line(A, C)); PointLiesOnCircle(B, Circle(C, radius_)); PointLiesOnCircle(X, Circle(C, radius_)); "
}
] |
geometry3k/train/1465/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(N, L)), 8); PointLiesOnLine(E, Line(N, M)); PointLiesOnLine(F, Line(L, N)); PointLiesOnLine(D, Line(M, L)); PointLiesOnCircle(D, Circle(P, radius_)); PointLiesOnCircle(E, Circle(P, radius_)); PointLiesOnCircle(F, Circle(P, radius_)); "
}
] |
geometry3k/train/1468/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(P, C, E)), 57); Equals(MeasureOf(Angle(D, F, A)), 3x - 9); PointLiesOnLine(F, Line(B, A)); PointLiesOnLine(C, Line(E, F)); PointLiesOnLine(F, Line(D, C)); PointLiesOnLine(C, Line(E, D)); PointLiesOnLine(F, Line(E, D)); PointLiesOnLine(C, Line(P, G)); "
}
] |
geometry3k/train/1469/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, R)), 3); Equals(LengthOf(Line(R, M)), 6); Equals(LengthOf(Line(Q, R)), 10); Equals(LengthOf(Line(P, R)), x); PointLiesOnLine(R, Line(Q, N)); PointLiesOnLine(R, Line(P, M)); PointLiesOnCircle(Q, Circle(A, radius_)); PointLiesOnCircle(N, Circle(A, radius_)); PointLiesOnCircle(M, Circle(A, radius_)); PointLiesOnCircle(P, Circle(A, radius_)); "
}
] |
geometry3k/train/1473/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(F, Line(B, E)); PointLiesOnLine(F, Line(A, D)); "
}
] |
geometry3k/train/1474/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(H, F, G)), 60); Equals(MeasureOf(Angle(H, G, H)), 60); Equals(LengthOf(Line(H, G)), 12); "
}
] |
geometry3k/train/1477/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)), 34); Equals(MeasureOf(Angle(C, B, A)), 31); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/1478/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)), x); Equals(MeasureOf(Angle(A, B, C)), 30); Equals(MeasureOf(Angle(B, C, A)), x); "
}
] |
geometry3k/train/1479/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)), 20); Equals(LengthOf(Line(F, D)), 10); Equals(LengthOf(Line(D, E)), 15); Equals(LengthOf(Line(B, E)), 12); Perpendicular(Line(D, F), Line(A, F)); PointLiesOnLine(F, Line(C, A)); "
}
] |
geometry3k/train/1483/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, B)), 15); Equals(LengthOf(Line(T, B)), 15); Perpendicular(Line(T, B), Line(U, B)); PointLiesOnLine(B, Line(A, U)); PointLiesOnLine(B, Line(R, T)); "
}
] |
geometry3k/train/1484/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(A, B), Line(A, C)); Equals(LengthOf(Line(A, C)), LengthOf(Line(A, B))); Equals(LengthOf(Line(A, B)), 6\\sqrt{2}); PointLiesOnLine(I, Line(C, B)); PointLiesOnCircle(A, Circle(I, radius_)); PointLiesOnCircle(B, Circle(I, radius_)); PointLiesOnCircle(C, Circle(I, radius_)); "
}
] |
geometry3k/train/1487/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(C, B, A)), 60); Equals(LengthOf(Line(C, B)), 14); Perpendicular(Line(A, B), Line(A, C)); "
}
] |
geometry3k/train/1488/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, E, D)), 120); Parallel(Line(Z, A), Line(G, F)); PointLiesOnLine(X, Line(C, E)); PointLiesOnLine(X, Line(F, G)); PointLiesOnLine(X, Line(D, C)); PointLiesOnLine(E, Line(A, Z)); "
}
] |
geometry3k/train/1491/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(N, L)), 36); Equals(LengthOf(Line(A, L)), 27); Equals(LengthOf(Line(B, A)), 40); Perpendicular(Line(N, L), Line(L, A)); PointLiesOnLine(A, Line(L, B)); "
}
] |
geometry3k/train/1492/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, G, D)), 4x+4); Equals(MeasureOf(Angle(B, D, O)), x+1); Equals(MeasureOf(Angle(C, F, G)), 3x+3); Equals(MeasureOf(Angle(F, B, K)), 2x+2); PointLiesOnLine(G, Line(J, F)); PointLiesOnLine(D, Line(O, G)); PointLiesOnLine(B, Line(K, D)); PointLiesOnLine(F, Line(B, C)); "
}
] |
geometry3k/train/1495/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(H, A, E)), 3x); Equals(MeasureOf(Angle(F, A, D)), 2x); Perpendicular(Line(A, H), Line(A, D)); PointLiesOnLine(A, Line(D, E)); "
}
] |
geometry3k/train/1496/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(7)), MeasureOf(Angle(G, C, D))); Equals(MeasureOf(Angle(D, G, C)), MeasureOf(Angle(8))); Equals(MeasureOf(Angle(3)), MeasureOf(Angle(A, D, C))); Equals(MeasureOf(Angle(5)), MeasureOf(Angle(B, G, D))); Equals(MeasureOf(Angle(C, A, D)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(B, D, G))); Equals(MeasureOf(Angle(G, B, D)), MeasureOf(Angle(6))); Equals(MeasureOf(Angle(G, A, B)), MeasureOf(Angle(2))); Perpendicular(Line(A, B), Line(D, B)); PointLiesOnLine(G, Line(D, A)); PointLiesOnLine(G, Line(C, B)); "
}
] |
geometry3k/train/1497/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, K)), 12); Equals(LengthOf(Line(G, D)), 9); PointLiesOnLine(K, Line(H, D)); PointLiesOnLine(J, Line(D, F)); PointLiesOnLine(G, Line(C, D)); PointLiesOnLine(H, Line(C, F)); PointLiesOnLine(K, Line(G, F)); PointLiesOnLine(K, Line(C, J)); "
}
] |
geometry3k/train/1499/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)), x-2); Equals(LengthOf(Line(A, D)), 10); Equals(LengthOf(Line(D, E)), 4); Equals(LengthOf(Line(B, C)), 5); Parallel(Line(D, C), Line(B, E)); PointLiesOnLine(E, Line(D, A)); PointLiesOnLine(B, Line(C, A)); "
}
] |
geometry3k/train/1502/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)), 6); Equals(LengthOf(Line(B, E)), 5); Equals(LengthOf(Line(A, E)), x); PointLiesOnLine(E, Line(A, B)); PointLiesOnCircle(B, Circle(C, radius_)); PointLiesOnCircle(D, Circle(C, radius_)); PointLiesOnCircle(E, Circle(C, radius_)); "
}
] |
geometry3k/train/1503/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(U, V)), 7); Equals(LengthOf(Line(U, X)), 12); PointLiesOnLine(A, Line(X, V)); PointLiesOnCircle(U, Circle(V, radius_)); PointLiesOnCircle(A, Circle(V, radius_)); "
}
] |
geometry3k/train/1506/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)), 4); Equals(LengthOf(Line(E, F)), 3); PointLiesOnLine(C, Line(F, D)); PointLiesOnCircle(E, Circle(F, radius_)); PointLiesOnCircle(C, Circle(F, radius_)); "
}
] |
geometry3k/train/1507/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)), 19); Equals(MeasureOf(Angle(A, B, C)), 27); Equals(LengthOf(Line(B, C)), x); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/1510/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(B, D)), 154); PointLiesOnCircle(B, Circle(G, radius_)); PointLiesOnCircle(C, Circle(G, radius_)); PointLiesOnCircle(D, Circle(G, radius_)); "
}
] |
geometry3k/train/1512/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(F, Line(B, E)); PointLiesOnLine(D, Line(B, A)); PointLiesOnLine(F, Line(C, D)); PointLiesOnLine(E, Line(C, A)); "
}
] |
geometry3k/train/1516/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)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(C, A, B))); Equals(MeasureOf(Angle(1)), MeasureOf(Angle(B, C, A))); Equals(MeasureOf(Angle(E, D, C)), MeasureOf(Angle(2))); Equals(MeasureOf(Angle(6)), MeasureOf(Angle(D, C, F))); Equals(MeasureOf(Angle(5)), MeasureOf(Angle(D, A, F))); Equals(MeasureOf(Angle(A, F, C)), MeasureOf(Angle(7))); Perpendicular(Line(G, D), Line(G, B)); PointLiesOnLine(D, Line(C, A)); PointLiesOnLine(G, Line(B, C)); PointLiesOnLine(G, Line(E, D)); PointLiesOnCircle(C, Circle(D, radius_)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(F, Circle(D, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); "
}
] |
geometry3k/train/1517/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)), 6); PointLiesOnCircle(A, Circle(B, radius_)); "
}
] |
geometry3k/train/1518/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)), 2b+3); Equals(LengthOf(Line(J, M)), 3); Equals(LengthOf(Line(L, K)), 21); Equals(MeasureOf(Angle(K, L, R)), 70); Equals(MeasureOf(Angle(M, L, J)), 30); Equals(LengthOf(Line(L, M)), 45); PointLiesOnLine(R, Line(J, L)); PointLiesOnLine(R, Line(K, M)); "
}
] |
geometry3k/train/1522/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)), 222); PointLiesOnLine(C, Line(A, B)); PointLiesOnCircle(A, Circle(C, radius_)); PointLiesOnCircle(B, Circle(C, radius_)); "
}
] |
geometry3k/train/1523/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(N, K)), 2z+7); Equals(LengthOf(Line(J, N)), 3y-5); Equals(LengthOf(Line(L, N)), y+5); Equals(LengthOf(Line(N, M)), z+9); PointLiesOnLine(N, Line(L, J)); PointLiesOnLine(N, Line(M, K)); "
}
] |
geometry3k/train/1528/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)), 2); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/1529/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)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(A, B, C)), 42); Equals(MeasureOf(Angle(B, C, A)), 38); Equals(MeasureOf(Angle(B, D, A)), 72); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(C, A, D))); Equals(MeasureOf(Angle(B, A, D)), MeasureOf(Angle(3))); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/1530/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(R, P)); PointLiesOnLine(C, Line(S, Q)); PointLiesOnCircle(R, Circle(C, radius_)); PointLiesOnCircle(S, Circle(C, radius_)); PointLiesOnCircle(Q, Circle(C, radius_)); PointLiesOnCircle(P, Circle(C, radius_)); "
}
] |
geometry3k/train/1531/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(Z, Y)), x); Equals(MeasureOf(Angle(Y, Z, X)), 34); Equals(LengthOf(Line(Z, X)), 28); Perpendicular(Line(Z, Y), Line(Y, X)); "
}
] |
geometry3k/train/1533/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)), 2x+1); Equals(LengthOf(Line(C, B)), 7); Equals(LengthOf(Line(X, D)), 15); Equals(LengthOf(Line(B, D)), x); Equals(MeasureOf(Angle(C, X, B)), MeasureOf(Angle(D, X, B))); PointLiesOnLine(B, Line(C, D)); "
}
] |
geometry3k/train/1537/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(F, D, E)), 42); Equals(MeasureOf(Angle(D, F, E)), 4x+11); Equals(LengthOf(Line(F, E)), 2x-3); Equals(LengthOf(Line(D, E)), LengthOf(Line(D, F))); "
}
] |
geometry3k/train/1538/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)), LengthOf(Line(M, L))); Parallel(Line(K, L), Line(M, J)); PointLiesOnLine(P, Line(M, K)); PointLiesOnLine(P, Line(J, L)); "
}
] |
geometry3k/train/1540/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)), 6); "
}
] |
geometry3k/train/1541/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": "PointLiesOnLine(K, Line(J, M)); PointLiesOnLine(L, Line(J, M)); PointLiesOnLine(K, Line(J, L)); PointLiesOnLine(L, Line(M, K)); PointLiesOnLine(A, Line(K, F)); PointLiesOnLine(B, Line(L, D)); "
}
] |
geometry3k/train/1547/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": ""
}
] |
geometry3k/train/1550/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(P, E, A)), 3x-50); Equals(MeasureOf(Angle(C, D, G)), 2x-5); PointLiesOnLine(D, Line(A, C)); PointLiesOnLine(E, Line(A, C)); PointLiesOnLine(E, Line(A, D)); PointLiesOnLine(D, Line(E, C)); PointLiesOnLine(D, Line(H, C)); PointLiesOnLine(E, Line(H, D)); PointLiesOnLine(E, Line(B, P)); PointLiesOnLine(D, Line(F, G)); "
}
] |
geometry3k/train/1551/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(LengthOf(Line(A, C)), 8); Equals(MeasureOf(Angle(C, B, A)), 73); Equals(MeasureOf(Angle(A, C, B)), 67); "
}
] |
geometry3k/train/1552/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, A)), 14x-34); Equals(LengthOf(Line(R, A)), 12x-8); PointLiesOnLine(A, Line(Q, S)); PointLiesOnLine(A, Line(R, T)); "
}
] |
geometry3k/train/1555/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(X, Y)), LengthOf(Line(W, Z))); PointLiesOnLine(T, Line(X, Z)); PointLiesOnLine(T, Line(Y, W)); "
}
] |
geometry3k/train/1556/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)), 7); Equals(LengthOf(Line(E, D)), 7); Equals(LengthOf(MeasureOf(Arc(A, O, B))), 105); Equals(LengthOf(MeasureOf(Arc(E, O, D))), 5x); PointLiesOnCircle(E, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); PointLiesOnCircle(D, Circle(O, radius_)); PointLiesOnCircle(A, Circle(O, radius_)); "
}
] |
geometry3k/train/1561/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, C)), 2.4); Equals(MeasureOf(Angle(C, D, A)), 161); PointLiesOnCircle(A, Circle(B, radius_)); PointLiesOnCircle(C, Circle(B, radius_)); "
}
] |
geometry3k/train/1563/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(F, H, G)), 29); Equals(LengthOf(Line(H, F)), 32); Equals(LengthOf(Line(G, F)), x); Perpendicular(Line(H, F), Line(G, F)); "
}
] |
geometry3k/train/1565/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(LengthOf(Line(A, C)), 23); Equals(MeasureOf(Angle(A, B, C)), 21); Equals(MeasureOf(Angle(C, A, B)), 128); "
}
] |
geometry3k/train/1566/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(T, S)), 48); PointLiesOnLine(A, Line(R, S)); PointLiesOnCircle(S, Circle(A, radius_)); PointLiesOnCircle(T, Circle(A, radius_)); PointLiesOnCircle(R, Circle(A, radius_)); "
}
] |
geometry3k/train/1567/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(K, H, G)), 65); Equals(MeasureOf(Angle(F, D, L)), 4x-9); Parallel(Line(L, B), Line(K, E)); PointLiesOnLine(D, Line(B, L)); PointLiesOnLine(H, Line(G, D)); PointLiesOnLine(H, Line(K, E)); PointLiesOnLine(D, Line(F, H)); PointLiesOnLine(D, Line(G, F)); PointLiesOnLine(H, Line(F, G)); "
}
] |
geometry3k/train/1569/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(J, Line(L, N)); PointLiesOnCircle(L, Circle(J, radius_)); PointLiesOnCircle(N, Circle(J, radius_)); PointLiesOnCircle(M, Circle(J, radius_)); PointLiesOnCircle(P, Circle(J, radius_)); PointLiesOnCircle(K, Circle(J, radius_)); "
}
] |
geometry3k/train/1570/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, E, D)), 2x); Equals(MeasureOf(Angle(M, F, E)), 52); Equals(MeasureOf(Angle(J, D, I)), 88); Equals(MeasureOf(Angle(G, H, M)), x+2); Equals(MeasureOf(Angle(G, B, I)), x+10); PointLiesOnLine(H, Line(G, B)); PointLiesOnLine(B, Line(I, D)); PointLiesOnLine(F, Line(H, M)); PointLiesOnLine(D, Line(J, E)); PointLiesOnLine(E, Line(A, F)); "
}
] |
geometry3k/train/1573/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)), 45); Equals(LengthOf(Line(B, C)), 5); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/1575/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(C, A)), x); Equals(MeasureOf(Angle(A, B, C)), 55); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/1577/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, B)), x); Equals(LengthOf(Line(A, C)), 4); Perpendicular(Line(B, C), Line(A, C)); "
}
] |
geometry3k/train/1578/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(S, R)), 20.7); Equals(LengthOf(Line(G, F)), x); Equals(LengthOf(Line(S, T)), 10); Equals(LengthOf(Line(R, T)), 15); Equals(LengthOf(Line(F, E)), 11.25); Equals(MeasureOf(Angle(S, R, T)), 27); Equals(MeasureOf(Angle(S, T, R)), 110); Equals(MeasureOf(Angle(E, F, G)), 110); Equals(MeasureOf(Angle(G, E, F)), 27); Equals(MeasureOf(Angle(T, S, R)), 43); "
}
] |
geometry3k/train/1579/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, B)), 3x); Equals(LengthOf(Line(B, C)), 5x-8); PointLiesOnCircle(C, Circle(R, radius_)); PointLiesOnCircle(E, Circle(R, radius_)); "
}
] |
geometry3k/train/1580/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)), 35); Equals(MeasureOf(Arc(A, C)), x); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/1595/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(S, T)), 3); Equals(MeasureOf(Angle(J, K, L)), 87); Equals(MeasureOf(Angle(L, J, K)), 46); Equals(MeasureOf(Angle(S, R, T)), 46); Equals(LengthOf(Line(J, K)), 16); Equals(MeasureOf(Angle(R, S, T)), 87); Equals(LengthOf(Line(L, K)), 12); "
}
] |
geometry3k/train/1597/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)), 103); Equals(MeasureOf(Angle(A, B, C)), 43); Equals(MeasureOf(Angle(C, A, B)), 51); "
}
] |
geometry3k/train/1598/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, G, C)), 85); Equals(MeasureOf(Angle(A, G, D)), 40); Equals(MeasureOf(Angle(E, G, C)), x); Perpendicular(Line(G, D), Line(G, E)); PointLiesOnCircle(A, G); PointLiesOnCircle(C, G); PointLiesOnCircle(D, G); PointLiesOnCircle(E, G); "
}
] |
geometry3k/train/1599/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(V, B, A)), 52); Equals(MeasureOf(Angle(A, V, B)), v); Equals(LengthOf(Line(A, V)), 12); Equals(LengthOf(Line(B, V)), 12); "
}
] |
geometry3k/train/1600/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)), 4); Equals(MeasureOf(Angle(C, B, O)), 45); Perpendicular(Line(C, O), Line(B, O)); "
}
] |
geometry3k/train/1601/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)), 17); Equals(LengthOf(Line(C, D)), 15); Equals(MeasureOf(Angle(C, B, A)), 48); Perpendicular(Line(C, D), Line(D, B)); PointLiesOnLine(D, Line(A, B)); "
}
] |
geometry3k/train/1603/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)), 7); Equals(LengthOf(Line(C, A)), 3); Equals(LengthOf(Line(B, C)), 6); Equals(LengthOf(Line(E, F)), 9); "
}
] |
geometry3k/train/1605/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, R)), 28); Equals(LengthOf(Line(D, K)), 6x+23); PointLiesOnLine(Q, Line(L, K)); PointLiesOnLine(R, Line(J, L)); PointLiesOnLine(D, Line(L, P)); PointLiesOnLine(D, Line(K, R)); PointLiesOnLine(D, Line(J, Q)); "
}
] |
geometry3k/train/1606/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(M, L)), 10); Equals(LengthOf(Line(N, M)), 10); Equals(LengthOf(Line(L, P)), 2x-4); Equals(LengthOf(Line(N, P)), x+5); Perpendicular(Line(N, M), Line(P, M)); PointLiesOnLine(M, Line(N, L)); PointLiesOnLine(P, Line(M, A)); "
}
] |
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