congruent triangles wanted, # with 60^o
Source: Mathematics Regional Olympiad of Mexico Center Zone 2012 P3
November 8, 2021
geometryparallelogramcongruent triangles
Problem Statement
In the parallelogram , . Let be the intersection point of the diagonals. The circle circumscribed to the triangle intersects the line at the point (different from ), the line at the point (different from ), and to the line in (different from ). The line intersects the circumscribed circle of the triangle at the points and . Show that the triangles and are congruent.