MathDB
Orthocenter is incenter of triangle

Source: Costa Rica National Olympiad, Final Round, Problem 1

November 26, 2011
geometryincentergeometric transformationreflectioncircumcircledilationsymmetry

Problem Statement

Let ABCABC be a triangle with orthocenter HH. Let P,Q,RP,Q,R be the reflections of HH with respect to sides BC,AC,ABBC,AC,AB, respectively. Show that HH is incenter of PQRPQR.
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