Geometry Proof
Source: ToT - 2001 Spring Junior A-Level #3
August 17, 2011
geometrygeometric transformationreflectionangle bisectorgeometry unsolved
Problem Statement
Point lies inside an angle with vertex . A ray issuing from point is reflected in one side of the angle at point , then in the other side at point and then returns back to point (the ordinary rule of reflection holds). Prove that the center of the circle circumscribed about triangle lies on line .