concurrent lines related to reflections of a line wrt to sides of given triangle
Source: 2011 Sharygin Geometry Olympiad Correspondence Round P16
April 6, 2019
geometryreflectionconcurrencyconcurrentReflections
Problem Statement
Given are triangle and line . The reflections of in and meet at point . Points are defined similarly. Prove that
a) lines concur,
b) their common point lies on the circumcircle of
c) two points constructed in this way for two perpendicular lines are opposite.