MEMO 2010, Problem T-5: Parallel lines
Source:
September 12, 2010
geometrytrigonometryincentermemo
Problem Statement
The incircle of the triangle touches the sides , , and in the points , and , respectively. Let be the point symmetric to with respect to the incenter. The lines and intersect at . Prove that is parallel to .(4th Middle European Mathematical Olympiad, Team Competition, Problem 5)