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Online Geometry Problem 762: Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows a parallelogram ABCD with M midpoint of AB and DH perpendicular to CM. Prove that AH = AD.
 

Parallelogram, Midpoint, Perpendicular, Congruence, Isosceles triangle
 

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