Triangle and
Squares 7. Level: High School, SAT Prep, College
geometry

Squares ABDE, BCGH and ACPQ are drawn on the sides of a
triangle ABC and external to it, M is the midpoint of EG and O
is the center of the square ACPQ. Prove the following:

1. AMCO is another square.
2. MD and MH are congruent and perpendicular.