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Bundeswettbewerb Mathematik 1978 Problem 1.4

Source: Bundeswettbewerb Mathematik 1978 Round 1

September 23, 2022
Trianglesymmetryconstructionconstructive geometrygeometry

Problem Statement

In a triangle ABCABC, the points A1,B1,C1A_1, B_1, C_1 are symmetric to A,B,CA, B,C with respect to B,C,AB,C, A, respectively. Given the points A1,B1,C1A_1, B_1,C_1 reconstruct the triangle ABCABC.