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Infographic Geometry Problem 917: Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular. Level: High School, College, Mathematics Education

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In a triangle ABC (figure below), BD is the bisector of angle B, AF = CE. M and N are the midpoints of AE and CF, respectively. Prove that MN is perpendicular to BD.


 

Geometry Problem 917: Triangle, Congruence, Midpoints, Angle Bisector, Perpendicular

 

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