Online Geometry
Problem 614: Parallelogram, Diagonals, Intersecting Lines, Parallel
Lines.
Level: Mathematics Education, High School, College

The figure shows a parallelogram ABCD with a
point E on BC. AE and BD meet at F, AC and DE meet at G, AE and BG meet
at H, and DE and CF meet at at M. Prove that HM is parallel to AD.