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MMO 073 Moscow MO 1941 congruent triangles wanted

Source:

July 18, 2019
congruent trianglesgeometry

Problem Statement

Given a quadrilateral, the midpoints A,B,C,DA, B, C, D of its consecutive sides, and the midpoints of its diagonals, PP and QQ. Prove that △BCP=△ADQ\vartriangle BCP = \vartriangle ADQ.
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