Geometry Problems, Online Education

Problem 538: Triangle, Perpendicular Bisector, Circumcircle, Midpoint. Level: High School, SAT Prep, College

The figure shows a triangle ABC inscribed in a circle O. D is a point on AC, EF is the perpendicular bisector of AD and GH is the perpendicular bisector of CD. If DN is perpendicular to FH at M, prove that M is the midpoint of DN.
 

Triangle, Circumcircle, Perpendicular Bisector, Midpoint
 

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