image stringlengths 34 43 | conversations listlengths 2 2 |
|---|---|
geometry3k/train/839/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(L, K)), 11x-8); Equals(LengthOf(Line(J, L)), x+12); Equals(LengthOf(Line(J, K)), 7x); Equals(LengthOf(Line(K, J)), LengthOf(Line(L, K))); Equals(LengthOf(Line(K, J)), LengthOf(Line(L, J))); "
}
] |
geometry3k/train/840/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, M)), 26); Equals(LengthOf(Line(P, Q)), 3x+5); PointLiesOnCircle(P, Circle(O, radius_)); PointLiesOnCircle(N, Circle(O, radius_)); PointLiesOnCircle(Q, Circle(O, radius_)); PointLiesOnCircle(M, Circle(O, radius_)); "
}
] |
geometry3k/train/843/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, N)), 7); Equals(LengthOf(Line(J, K)), LengthOf(m)); Equals(MeasureOf(Angle(N, A, O)), r); Equals(LengthOf(Line(A, N)), x+3); Equals(LengthOf(Line(J, O)), 12); Equals(LengthOf(Line(A, O)), 4x-9); PointLiesOnLine(O, Line(A, J)); PointLiesOnLine(N, Line(A, K)); PointLiesOnCircle(O, Circle(B, radius_)); PointLiesOnCircle(N, Circle(B, radius_)); "
}
] |
geometry3k/train/844/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)), y); Equals(LengthOf(Line(B, D)), 12); Equals(MeasureOf(Angle(B, C, A)), 60); Perpendicular(Line(B, D), Line(A, D)); Equals(LengthOf(Line(C, B)), LengthOf(Line(A, B))); PointLiesOnLine(D, Line(C, A)); "
}
] |
geometry3k/train/846/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(P, Q)), 10.8); Equals(MeasureOf(Angle(Q, P, M)), 81); PointLiesOnCircle(Q, Circle(P, radius_)); PointLiesOnCircle(M, Circle(P, radius_)); "
}
] |
geometry3k/train/849/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(O, M)); PointLiesOnLine(R, Line(P, N)); "
}
] |
geometry3k/train/850/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(T, S), Line(R, T)); Perpendicular(Line(S, R), Line(S, Q)); Equals(LengthOf(Line(Q, T)), 18); Equals(LengthOf(Line(T, R)), 34); PointLiesOnLine(T, Line(Q, R)); "
}
] |
geometry3k/train/851/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(W, Y, Z)), 53); PointLiesOnLine(V, Line(X, Z)); PointLiesOnLine(V, Line(W, Y)); "
}
] |
geometry3k/train/853/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(G, J), Line(K, L)); PointLiesOnLine(K, Line(L, H)); PointLiesOnLine(K, Line(G, J)); PointLiesOnCircle(J, Circle(L, radius_)); PointLiesOnCircle(G, Circle(L, radius_)); PointLiesOnCircle(H, Circle(L, radius_)); "
}
] |
geometry3k/train/856/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, C)), 3x-7); Equals(LengthOf(Line(B, D)), 2x); Equals(LengthOf(Line(E, D)), 14); Perpendicular(Line(D, B), Line(E, D)); Perpendicular(Line(E, C), Line(E, B)); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/857/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)), z); Equals(LengthOf(Line(B, A)), 15); Equals(LengthOf(Line(C, A)), 5); Perpendicular(Line(C, Y), Line(Y, B)); Perpendicular(Line(B, C), Line(A, C)); PointLiesOnLine(Y, Line(A, B)); "
}
] |
geometry3k/train/861/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(E, D)), 45); Equals(MeasureOf(Angle(4)), MeasureOf(Angle(D, A, E))); Equals(MeasureOf(Arc(B, C)), 75); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(A, Line(B, E)); PointLiesOnLine(F, Line(E, B)); PointLiesOnLine(A, Line(C, D)); PointLiesOnLine(A, Line(F, E)); PointLiesOnCircle(B, Circle(F, radius_)); PointLiesOnCircle(C, Circle(F, radius_)); PointLiesOnCircle(D, Circle(F, radius_)); PointLiesOnCircle(E, Circle(F, radius_)); "
}
] |
geometry3k/train/862/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, J)), 9); Equals(LengthOf(Line(Q, J)), 2y-1); Equals(LengthOf(Line(P, Q)), 8.1); Equals(MeasureOf(Angle(M, H, J)), 13y); Equals(MeasureOf(Angle(M, J, P)), 14y-8); Equals(MeasureOf(Angle(Q, J, P)), 53); PointLiesOnLine(J, Line(P, H)); PointLiesOnLine(J, Line(M, Q)); "
}
] |
geometry3k/train/863/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, B)), 5); Equals(MeasureOf(Angle(A, T, B)), 135); PointLiesOnLine(T, Line(A, R)); "
}
] |
geometry3k/train/864/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)), 21); Equals(LengthOf(Line(S, C)), 17); "
}
] |
geometry3k/train/866/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(MeasureOf(Angle(B, C, A)), 96); Equals(MeasureOf(Angle(A, B, C)), 39); Equals(LengthOf(Line(B, C)), 17); "
}
] |
geometry3k/train/867/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)), LengthOf(Line(M, R))); Equals(LengthOf(Line(M, R)), LengthOf(Line(R, P))); "
}
] |
geometry3k/train/869/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(V, U, S)), MeasureOf(angle 2)); Equals(MeasureOf(Angle(V, S, W)), MeasureOf(angle 1)); Equals(MeasureOf(Angle(S, W, V)), 72); Equals(MeasureOf(Angle(S, V, U)), 27); PointLiesOnLine(S, Line(V, T)); PointLiesOnLine(S, Line(W, U)); "
}
] |
geometry3k/train/872/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(C, A)); PointLiesOnLine(P, Line(B, D)); "
}
] |
geometry3k/train/874/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)), 5); Equals(LengthOf(Line(A, B)), 12); PointLiesOnLine(P, Line(B, D)); PointLiesOnCircle(A, Circle(P, radius_)); PointLiesOnCircle(B, Circle(P, radius_)); PointLiesOnCircle(C, Circle(P, radius_)); PointLiesOnCircle(D, Circle(P, radius_)); "
}
] |
geometry3k/train/877/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)), 7); "
}
] |
geometry3k/train/882/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(E, Line(B, D)); PointLiesOnLine(E, Line(A, C)); "
}
] |
geometry3k/train/883/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)), 6); Equals(LengthOf(Line(S, Q)), 4); PointLiesOnLine(C, Line(R, S)); PointLiesOnCircle(P, Circle(R, radius_)); PointLiesOnCircle(C, Circle(R, radius_)); PointLiesOnCircle(Q, Circle(S, radius_)); PointLiesOnCircle(C, Circle(S, radius_)); "
}
] |
geometry3k/train/885/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(h), LengthOf(Line(B, A))); Equals(LengthOf(Line(C, A)), 15); Equals(MeasureOf(Angle(B, C, A)), 60); Perpendicular(Line(A, B), Line(C, A)); "
}
] |
geometry3k/train/886/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)), 8); Equals(MeasureOf(Angle(Y, X, Z)), 60); Equals(LengthOf(Line(X, Z)), 8); "
}
] |
geometry3k/train/888/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)), 6); Perpendicular(Line(T, Q), Line(T, P)); PointLiesOnLine(T, Line(R, P)); PointLiesOnLine(T, Line(Q, S)); PointLiesOnCircle(R, Circle(S, radius_)); PointLiesOnCircle(Q, Circle(S, radius_)); PointLiesOnCircle(P, Circle(S, radius_)); "
}
] |
geometry3k/train/889/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(A, Line(D, B)); PointLiesOnLine(C, Line(D, G)); PointLiesOnLine(C, Line(D, E)); PointLiesOnLine(G, Line(B, F)); PointLiesOnLine(G, Line(D, E)); PointLiesOnLine(G, Line(C, E)); PointLiesOnCircle(A, Circle(O, radius_)); PointLiesOnCircle(C, Circle(O, radius_)); PointLiesOnCircle(F, Circle(O, radius_)); PointLiesOnCircle(B, Circle(O, radius_)); PointLiesOnCircle(E, Circle(O, radius_)); "
}
] |
geometry3k/train/894/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)), 2x); Equals(MeasureOf(Angle(C, A, D)), 3x); Perpendicular(Line(A, B), Line(A, D)); "
}
] |
geometry3k/train/895/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)), z); Equals(LengthOf(Line(B, C)), 32); Equals(LengthOf(Line(B, D)), 15); Equals(LengthOf(Line(C, D)), 9); PointLiesOnLine(E, Line(B, C)); "
}
] |
geometry3k/train/896/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)), LengthOf(Line(A, D))); Equals(LengthOf(Line(C, D)), LengthOf(Line(B, C))); PointLiesOnLine(T, Line(C, A)); PointLiesOnLine(T, Line(D, B)); "
}
] |
geometry3k/train/899/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, C, A)), 40); Equals(MeasureOf(Angle(E, C, B)), 35); Equals(MeasureOf(Angle(6)), MeasureOf(Angle(D, C, B))); PointLiesOnCircle(A, Circle(C, radius_)); PointLiesOnCircle(B, Circle(C, radius_)); PointLiesOnCircle(D, Circle(C, radius_)); PointLiesOnCircle(E, Circle(C, radius_)); "
}
] |
geometry3k/train/901/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, E)), 5.4); Perpendicular(Line(B, C), Line(B, D)); Equals(LengthOf(Line(E, C)), LengthOf(Line(B, C))); Equals(LengthOf(Line(B, D)), LengthOf(Line(B, C))); Equals(LengthOf(Line(E, D)), LengthOf(Line(B, C))); "
}
] |
geometry3k/train/903/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(E, F)), 2x-5); Equals(LengthOf(Line(A, F)), 4.6); Equals(LengthOf(Line(U, A)), 2.9); Equals(LengthOf(Line(S, A)), 4z); Equals(LengthOf(Line(A, E)), y); Equals(LengthOf(Line(D, T)), 6); PointLiesOnLine(A, Line(T, D)); PointLiesOnLine(A, Line(S, F)); PointLiesOnLine(A, Line(U, E)); PointLiesOnLine(S, Line(E, D)); PointLiesOnLine(U, Line(D, F)); PointLiesOnLine(T, Line(E, F)); "
}
] |
geometry3k/train/906/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(A, Line(E, G)); PointLiesOnLine(A, Line(D, F)); "
}
] |
geometry3k/train/908/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)), 9\\sqrt{2}); Equals(MeasureOf(Angle(C, B, A)), 45); Equals(LengthOf(Line(B, A)), x); Equals(LengthOf(Line(C, A)), 9\\sqrt{2}); Perpendicular(Line(C, B), Line(A, C)); "
}
] |
geometry3k/train/909/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)), 3.6); Equals(LengthOf(Line(D, C)), 9.2); Equals(LengthOf(Line(B, A)), LengthOf(Line(I, B))); Perpendicular(Line(E, B), Line(C, E)); Equals(LengthOf(Line(E, B)), 8); PointLiesOnLine(E, Line(D, C)); "
}
] |
geometry3k/train/911/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(W, Z)), 8); Equals(LengthOf(Line(X, Y)), 20); Equals(MeasureOf(Angle(X, Y, Z)), 70); "
}
] |
geometry3k/train/913/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, G, H)), 2x); Equals(MeasureOf(Angle(A, C, B)), 80); Perpendicular(Line(F, H), Line(F, G)); Perpendicular(Line(A, C), Line(B, A)); Equals(MeasureOf(Angle(F, H, G)), MeasureOf(Angle(C, B, A))); "
}
] |
geometry3k/train/914/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(G, F)), 1.3); Equals(MeasureOf(Angle(F, G, H)), 99); PointLiesOnCircle(H, Circle(G, radius_)); PointLiesOnCircle(F, Circle(G, radius_)); "
}
] |
geometry3k/train/916/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(B, E)), x); Equals(LengthOf(Line(B, A)), 5\\sqrt{2}); Perpendicular(Line(D, C), Line(C, B)); Perpendicular(Line(C, B), Line(E, B)); Perpendicular(Line(A, C), Line(A, B)); Perpendicular(Line(A, D), Line(D, C)); Perpendicular(Line(E, B), Line(A, E)); Equals(LengthOf(Line(A, C)), LengthOf(Line(B, A))); PointLiesOnLine(A, Line(D, E)); "
}
] |
geometry3k/train/918/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, D, H)), 3x); Equals(MeasureOf(Angle(H, D, E)), x); PointLiesOnLine(D, Line(A, E)); "
}
] |
geometry3k/train/919/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(X, A, N)), 78); Equals(LengthOf(Line(X, A)), 3); Equals(LengthOf(Arc(X, N)), x); PointLiesOnCircle(X, Circle(A, radius_)); PointLiesOnCircle(N, Circle(A, radius_)); "
}
] |
geometry3k/train/921/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(G, A)), 3); Equals(LengthOf(Line(A, F)), 4); PointLiesOnLine(A, Line(D, G)); PointLiesOnLine(A, Line(C, F)); "
}
] |
geometry3k/train/924/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)), 3); Equals(LengthOf(Line(C, A)), x); Equals(MeasureOf(Angle(B, C, A)), 45); Equals(LengthOf(Line(C, B)), y); Perpendicular(Line(C, A), Line(A, B)); "
}
] |
geometry3k/train/927/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, Q)), y); Equals(LengthOf(Line(J, Q)), 2z); Equals(LengthOf(Line(P, Q)), 2x-6); Equals(LengthOf(Line(Q, K)), 7); Equals(LengthOf(Line(Q, L)), 3); Equals(LengthOf(Line(Q, M)), 4); PointLiesOnLine(J, Line(H, K)); PointLiesOnLine(L, Line(K, M)); PointLiesOnLine(Q, Line(P, K)); PointLiesOnLine(P, Line(M, H)); PointLiesOnLine(Q, Line(L, H)); PointLiesOnLine(Q, Line(J, M)); "
}
] |
geometry3k/train/928/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, J)), 2y-5); Equals(LengthOf(Line(J, F)), y+12); Equals(LengthOf(Line(F, K)), 3x+7); Equals(LengthOf(Line(G, K)), 4x-1); Perpendicular(Line(F, K), Line(K, J)); Perpendicular(Line(H, G), Line(K, G)); Equals(LengthOf(Line(F, J)), LengthOf(Line(H, J))); PointLiesOnLine(J, Line(H, F)); PointLiesOnLine(K, Line(G, F)); "
}
] |
geometry3k/train/929/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)), 15); Equals(LengthOf(Line(B, C)), x); Equals(MeasureOf(Angle(C, B, A)), 60); Equals(LengthOf(Line(B, A)), y); Perpendicular(Line(C, A), Line(B, C)); "
}
] |
geometry3k/train/930/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(L, J)), 92); PointLiesOnCircle(K, Circle(A, radius_)); PointLiesOnCircle(J, Circle(A, radius_)); PointLiesOnCircle(L, Circle(A, radius_)); "
}
] |
geometry3k/train/933/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, J)), 6); Perpendicular(Line(K, M), Line(M, L)); Equals(LengthOf(Line(K, L)), LengthOf(Line(K, J))); PointLiesOnLine(M, Line(J, L)); "
}
] |
geometry3k/train/936/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)), 11); Equals(LengthOf(Line(A, C)), x); Equals(LengthOf(Line(B, C)), 9); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/937/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(Q, Line(T, U)); PointLiesOnCircle(V, Circle(Q, radius_)); PointLiesOnCircle(T, Circle(Q, radius_)); PointLiesOnCircle(U, Circle(Q, radius_)); "
}
] |
geometry3k/train/939/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(Y, A, F)), x); Equals(MeasureOf(Angle(C, A, Y)), 2x); PointLiesOnLine(A, Line(Y, D)); PointLiesOnLine(A, Line(C, F)); "
}
] |
geometry3k/train/940/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(N, B, D)), 2x+45); Equals(LengthOf(Line(E, F)), x); Equals(MeasureOf(Angle(D, E, A)), 3x); PointLiesOnLine(E, Line(T, A)); PointLiesOnLine(B, Line(F, E)); PointLiesOnLine(E, Line(B, D)); PointLiesOnLine(B, Line(C, N)); PointLiesOnLine(B, Line(D, F)); PointLiesOnLine(E, Line(D, F)); "
}
] |
geometry3k/train/941/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(MeasureOf(Angle(D, B, C)), 45); PointLiesOnLine(D, Line(A, B)); PointLiesOnCircle(A, Circle(D, radius_)); PointLiesOnCircle(B, Circle(D, radius_)); PointLiesOnCircle(C, Circle(D, radius_)); "
}
] |
geometry3k/train/944/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(F, B)), 15); Equals(LengthOf(Line(D, F)), 5); Equals(LengthOf(Line(D, B)), x); PointLiesOnCircle(F, Circle(D, radius_)); "
}
] |
geometry3k/train/946/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, W)), 14); Equals(LengthOf(Line(R, Z)), 18); Equals(LengthOf(Line(U, Z)), 5); PointLiesOnLine(Z, Line(U, S)); PointLiesOnLine(W, Line(R, S)); PointLiesOnLine(V, Line(S, T)); PointLiesOnLine(U, Line(T, R)); PointLiesOnLine(Z, Line(R, V)); PointLiesOnLine(Z, Line(W, T)); "
}
] |
geometry3k/train/949/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)), 3); Equals(LengthOf(Line(A, C)), 4); Perpendicular(Line(C, D), Line(A, C)); PointLiesOnLine(E, Line(A, D)); PointLiesOnCircle(A, Circle(E, radius_)); PointLiesOnCircle(C, Circle(E, radius_)); PointLiesOnCircle(D, Circle(E, radius_)); "
}
] |
geometry3k/train/951/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, A)), 25); Equals(LengthOf(Line(B, A)), 15); Equals(LengthOf(Line(B, C)), 20); Perpendicular(Line(B, A), Line(B, C)); "
}
] |
geometry3k/train/953/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, J)), 2x-5); Equals(LengthOf(Line(N, M)), 3x-9); Equals(LengthOf(Line(N, J)), x-2); "
}
] |
geometry3k/train/958/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(S, A)), 5); Equals(LengthOf(Line(Q, R)), 4); Equals(LengthOf(Line(S, T)), x); PointLiesOnLine(A, Line(S, Q)); PointLiesOnCircle(A, Circle(Q, radius_)); PointLiesOnCircle(R, Circle(Q, radius_)); PointLiesOnCircle(T, Circle(Q, radius_)); "
}
] |
geometry3k/train/962/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)), x+5); Equals(LengthOf(Line(B, D)), 2y+5); Equals(LengthOf(Line(A, C)), y+10); Equals(LengthOf(Line(A, B)), 2x+2); "
}
] |
geometry3k/train/964/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, C)), 3x-2); Equals(LengthOf(Line(A, D)), 4y+6); Equals(LengthOf(Line(B, C)), 6y-8); Equals(LengthOf(Line(A, B)), 2x+6); "
}
] |
geometry3k/train/965/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); "
}
] |
geometry3k/train/966/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); Equals(LengthOf(Line(D, A)), x); Equals(LengthOf(Line(D, C)), 4); Equals(LengthOf(Line(B, D)), y); Perpendicular(Line(B, A), Line(C, A)); Perpendicular(Line(D, A), Line(B, D)); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/967/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, W)), LengthOf(Line(Y, Z))); Parallel(Line(Y, X), Line(Z, W)); PointLiesOnLine(P, Line(X, Z)); PointLiesOnLine(P, Line(W, Y)); "
}
] |
geometry3k/train/969/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(K, Line(J, G)); "
}
] |
geometry3k/train/971/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); Perpendicular(Line(B, H), Line(B, F)); Perpendicular(Line(E, C), Line(C, F)); Perpendicular(Line(D, G), Line(H, D)); Perpendicular(Line(E, A), Line(G, A)); PointLiesOnLine(E, Line(C, A)); PointLiesOnLine(G, Line(D, A)); PointLiesOnLine(F, Line(C, B)); PointLiesOnLine(H, Line(B, D)); PointLiesOnCircle(E, Circle(O, radius_)); PointLiesOnCircle(F, Circle(O, radius_)); PointLiesOnCircle(G, Circle(O, radius_)); PointLiesOnCircle(H, Circle(O, radius_)); "
}
] |
geometry3k/train/973/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(D, E)), 98); Equals(MeasureOf(Angle(A, D, C)), 40); PointLiesOnLine(A, Line(C, E)); PointLiesOnLine(A, Line(D, F)); PointLiesOnLine(B, Line(D, F)); PointLiesOnLine(B, Line(D, A)); PointLiesOnLine(A, Line(F, B)); PointLiesOnCircle(C, Circle(B, radius_)); PointLiesOnCircle(F, Circle(B, radius_)); PointLiesOnCircle(D, Circle(B, radius_)); PointLiesOnCircle(E, Circle(B, radius_)); "
}
] |
geometry3k/train/974/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(E, Line(A, C)); PointLiesOnLine(E, Line(B, D)); "
}
] |
geometry3k/train/975/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)), 12); Equals(LengthOf(Line(B, C)), y); Equals(LengthOf(Line(D, B)), x); Equals(LengthOf(Line(A, C)), 10); Equals(LengthOf(Line(D, C)), z); Perpendicular(Line(A, B), Line(B, C)); Perpendicular(Line(D, A), Line(D, B)); PointLiesOnLine(D, Line(C, A)); "
}
] |
geometry3k/train/977/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(Z, Line(G, C)); PointLiesOnLine(Z, Line(F, C)); PointLiesOnLine(G, Line(F, C)); PointLiesOnLine(G, Line(Z, F)); PointLiesOnLine(D, Line(C, A)); PointLiesOnLine(E, Line(C, B)); PointLiesOnLine(G, Line(Y, D)); PointLiesOnLine(G, Line(B, D)); PointLiesOnLine(Y, Line(D, B)); PointLiesOnLine(Y, Line(G, B)); PointLiesOnLine(F, Line(A, B)); PointLiesOnLine(X, Line(A, G)); PointLiesOnLine(X, Line(E, A)); PointLiesOnLine(G, Line(A, E)); PointLiesOnLine(G, Line(X, E)); PointLiesOnCircle(Z, Circle(G, radius_)); PointLiesOnCircle(E, Circle(G, radius_)); PointLiesOnCircle(Y, Circle(G, radius_)); PointLiesOnCircle(F, Circle(G, radius_)); PointLiesOnCircle(D, Circle(G, radius_)); PointLiesOnCircle(X, Circle(G, radius_)); "
}
] |
geometry3k/train/979/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, X)), 10); Equals(MeasureOf(Angle(Z, X, Y)), 130); PointLiesOnLine(X, Line(Z, B)); PointLiesOnCircle(Z, Circle(X, radius_)); PointLiesOnCircle(Y, Circle(X, radius_)); PointLiesOnCircle(B, Circle(X, radius_)); "
}
] |
geometry3k/train/980/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(G, F)), x); Equals(LengthOf(Line(H, L)), 15); Equals(LengthOf(Line(J, K)), 18.2); PointLiesOnLine(H, Line(G, J)); PointLiesOnLine(L, Line(F, K)); "
}
] |
geometry3k/train/981/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)), 7\\sqrt{2}); Equals(MeasureOf(Angle(C, B, A)), 45); Perpendicular(Line(A, C), Line(A, B)); "
}
] |
geometry3k/train/982/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(D, Line(C, B)); PointLiesOnLine(F, Line(C, E)); PointLiesOnLine(E, Line(A, B)); PointLiesOnLine(F, Line(A, D)); "
}
] |
geometry3k/train/983/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)), 40); Equals(MeasureOf(Angle(C, B, D)), 115); Equals(MeasureOf(Angle(C, A, B)), x); PointLiesOnLine(B, Line(A, D)); "
}
] |
geometry3k/train/984/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)), 12); Equals(MeasureOf(Angle(F, G, H)), 133); PointLiesOnCircle(H, Circle(G, radius_)); PointLiesOnCircle(F, Circle(G, radius_)); "
}
] |
geometry3k/train/987/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)), 40); Equals(LengthOf(Line(A, D)), 32); Equals(LengthOf(Line(A, B)), x); Perpendicular(Line(A, D), Line(B, D)); Perpendicular(Line(B, C), Line(A, C)); "
}
] |
geometry3k/train/989/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)), 7); Equals(LengthOf(Line(B, A)), 16); Equals(LengthOf(Line(E, A)), 6); Perpendicular(Line(B, F), Line(D, B)); PointLiesOnLine(B, Line(F, A)); PointLiesOnLine(A, Line(C, B)); PointLiesOnLine(A, Line(C, F)); PointLiesOnLine(B, Line(F, C)); "
}
] |
geometry3k/train/991/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)), z); Equals(LengthOf(Line(Y, A)), 17); Equals(LengthOf(Line(Y, C)), 6); Equals(LengthOf(Line(C, A)), x); Equals(LengthOf(Line(B, C)), y); Perpendicular(Line(A, Y), Line(B, Y)); Perpendicular(Line(B, A), Line(C, A)); PointLiesOnLine(Y, Line(B, C)); "
}
] |
geometry3k/train/992/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)), 17); Equals(LengthOf(Line(A, C)), 12); Equals(MeasureOf(Angle(A, B, C)), x); Perpendicular(Line(A, C), Line(B, C)); "
}
] |
geometry3k/train/993/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)), 25); Equals(LengthOf(Line(B, C)), 15); Equals(LengthOf(Line(A, C)), x); Perpendicular(Line(B, C), Line(A, C)); "
}
] |
geometry3k/train/994/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, I, B)), 84); Equals(MeasureOf(Angle(B, I, G)), 24); Equals(MeasureOf(Angle(E, I, G)), x); Perpendicular(Line(D, I), Line(E, I)); PointLiesOnCircle(B, Circle(I, radius_)); PointLiesOnCircle(D, Circle(I, radius_)); PointLiesOnCircle(E, Circle(I, radius_)); PointLiesOnCircle(G, Circle(I, radius_)); "
}
] |
geometry3k/train/996/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, C, A)), x); Equals(MeasureOf(Angle(A, C, B)), 2x); PointLiesOnLine(C, Line(B, D)); "
}
] |
geometry3k/train/997/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(Q, P)), 25); Equals(LengthOf(Line(T, R)), x); Equals(LengthOf(Line(S, R)), 10); Equals(LengthOf(Line(S, Q)), 5); Perpendicular(Line(T, R), Line(S, R)); Parallel(Line(S, T), Line(Q, P)); PointLiesOnLine(T, Line(P, R)); PointLiesOnLine(S, Line(Q, R)); "
}
] |
geometry3k/train/1000/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(Q, R)), 3y-1); Equals(LengthOf(Line(R, S)), y+11); Equals(LengthOf(Line(Q, S)), 4y-9); Equals(LengthOf(Line(Q, R)), LengthOf(Line(R, S))); "
}
] |
geometry3k/train/1001/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(G, Z), Line(Y, G)); Perpendicular(Line(W, H), Line(H, X)); PointLiesOnLine(H, Line(X, G)); PointLiesOnLine(H, Line(Z, X)); PointLiesOnLine(G, Line(Z, X)); PointLiesOnLine(G, Line(Z, H)); "
}
] |
geometry3k/train/1003/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(A, X, W)), 57); PointLiesOnLine(A, Line(Y, X)); PointLiesOnCircle(Y, Circle(A, radius_)); PointLiesOnCircle(X, Circle(A, radius_)); PointLiesOnCircle(W, Circle(A, radius_)); "
}
] |
geometry3k/train/1004/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)), 8); Equals(LengthOf(Line(B, A)), x); Equals(LengthOf(Line(C, B)), y); Equals(LengthOf(Line(D, B)), z); Equals(LengthOf(Line(C, D)), 3); Perpendicular(Line(B, D), Line(D, A)); Perpendicular(Line(A, B), Line(B, C)); "
}
] |
geometry3k/train/1006/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)), 18); Equals(LengthOf(Line(A, B)), 24); Equals(LengthOf(Line(C, D)), 2x+1); Equals(LengthOf(Line(C, A)), 3x-1); Equals(MeasureOf(Angle(C, A, D)), MeasureOf(Angle(D, A, B))); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/1008/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)), 12); Equals(LengthOf(Line(D, B)), 3); PointLiesOnLine(D, Line(A, B)); "
}
] |
geometry3k/train/1010/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)), 20); Equals(LengthOf(Line(B, D)), 2x+1); Equals(MeasureOf(Angle(A, C, B)), 22); Equals(MeasureOf(Angle(D, B, C)), 22); Equals(LengthOf(Line(C, F)), 12); Equals(LengthOf(Line(F, B)), 2x-1); Perpendicular(Line(F, D), Line(F, C)); PointLiesOnLine(D, Line(A, F)); PointLiesOnLine(F, Line(C, B)); "
}
] |
geometry3k/train/1011/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, A, C)), MeasureOf(Angle(1))); Equals(MeasureOf(Angle(D, A, B)), MeasureOf(Angle(3))); Equals(MeasureOf(Angle(2)), MeasureOf(Angle(B, D, A))); Equals(MeasureOf(Angle(A, C, D)), 50); Equals(MeasureOf(Angle(D, B, A)), 21); Equals(MeasureOf(Angle(C, D, A)), 70); PointLiesOnLine(D, Line(C, B)); "
}
] |
geometry3k/train/1014/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(J, H, K)), 45); Equals(LengthOf(Line(J, H)), 10); Equals(MeasureOf(Angle(K, J, H)), 73); Equals(LengthOf(Line(J, K)), x); "
}
] |
geometry3k/train/1016/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)), 10); Equals(LengthOf(Line(C, B)), 2x+4); Equals(LengthOf(Line(D, B)), x+2); Equals(LengthOf(Line(B, C)), LengthOf(Line(C, D))); "
}
] |
geometry3k/train/1019/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)), 5); Equals(LengthOf(Line(C, D)), 4); Equals(LengthOf(Line(D, B)), 3); Perpendicular(Line(B, C), Line(C, A)); Perpendicular(Line(C, D), Line(A, D)); PointLiesOnLine(D, Line(B, A)); "
}
] |
geometry3k/train/1020/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)), x); Equals(LengthOf(Line(A, E)), 2); Equals(LengthOf(Line(A, D)), 4); PointLiesOnLine(E, Line(A, B)); PointLiesOnCircle(B, Circle(C, radius_)); PointLiesOnCircle(D, Circle(C, radius_)); PointLiesOnCircle(E, Circle(C, radius_)); "
}
] |
geometry3k/train/1021/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)), 18); Equals(LengthOf(Line(U, T)), y+2); Equals(LengthOf(Line(R, V)), x); Equals(LengthOf(Line(C, B)), 4); Equals(LengthOf(Line(C, D)), 5); Equals(LengthOf(Line(E, A)), 3); Equals(MeasureOf(Angle(S, R, V)), MeasureOf(Angle(E, A, B))); Equals(MeasureOf(Angle(C, B, A)), MeasureOf(Angle(R, S, T))); Equals(MeasureOf(Angle(B, C, D)), MeasureOf(Angle(S, T, U))); Equals(MeasureOf(Angle(C, D, E)), MeasureOf(Angle(T, U, V))); Equals(MeasureOf(Angle(A, E, D)), MeasureOf(Angle(U, V, R))); "
}
] |
geometry3k/train/1023/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(A, C)); PointLiesOnLine(F, Line(D, B)); "
}
] |
geometry3k/train/1024/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)), 7); Equals(LengthOf(Line(B, C)), x); Equals(LengthOf(Line(D, E)), 13); PointLiesOnLine(B, Line(C, D)); PointLiesOnCircle(B, Circle(A, radius_)); PointLiesOnCircle(C, Circle(A, radius_)); PointLiesOnCircle(E, Circle(A, radius_)); "
}
] |
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