Points on a triangle
Source: ToT Junior O Level Autumn 1998
October 5, 2008
geometry proposedgeometry
Problem Statement
In a triangle the points , and lie on the sides , and , respectively. It is known that \angle AC'B' \equal{} \angle B'A'C, \angle CB'A' \equal{} \angle A'C'B and \angle BA'C' \equal{} \angle C'B'A. Prove that , and are the midpoints of the corresponding sides.