MathDB
2017 Kosovo TST Problem 5

Source:

March 19, 2017
geometry

Problem Statement

Given triangle ABCABC. Let PP, QQ, RR, be the tangency points of inscribed circle of △ABC\triangle ABC on sides ABAB, BCBC, ACAC respectively. We take the reflection of these points with respect to midpoints of the sides they lie on, and denote them as P′,Q′P',Q' and R′R'. Prove that AP′AP', BQ′BQ', and CR′CR' are concurrent.
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