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Online Geometry Problem 611: Altitude of a Triangle, Perpendicular, Collinear Points, Parallel. Level: Mathematics Education, High School, College

The figure shows a triangle ABC with the altitude BD. DE is perpendicular to AB and DF is perpendicular to BC. BD and EF meet at G. Lines AG and DF meet at H, lines CG and DE meet at M. Prove that (1) the points M, B, and H are collinear; (2) MH is parallel to AC.
 

Triangle, Altitude, Perpendicular, Collinear
 

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