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Geometry about incircle

Source: Turkey Junior Math Olympiad 2019 #3

December 23, 2019
geometrygeometry proposedincentercircumcircle

Problem Statement

In ABCABC triangle II is incenter and incircle of ABCABC tangents to BC,AC,ABBC,AC,AB at D,E,FD,E,F, respectively. If AIAI intersects DEDE and DFDF at PP and QQ, prove that the circumcenter of DPQDPQ triangle is the midpoint of BCBC.
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