Problem 608: Square with Right Triangles, Metric Relations, Congruence,
Level: Mathematics Education, High School, College
The figure shows a square ABCD with the
right triangles AED and CFD. Lines AF and CD meet at G, lines CE and DA
meet at H, lines GH and AE meet at M, lines GH and CF meet at N. Prove
that GN and HM are congruent.