MathDB
Orthocenter and reflections

Source: Latvian TST for Baltic Way 2020 P10

October 18, 2020
geometrygeometric transformationreflection

Problem Statement

Given △ABC\triangle ABC and it's orthocenter HH. Point PP is arbitrary chosen on the side BC BC. Let QQ and RR be reflections of point PP over sides AB,ACAB, AC. It is given that points Q,H,RQ,H,R are collinear. Prove that △ABC\triangle ABC is right angled.
Back to ProblemsView on AoPS