Geometry Problems, Online Education

Problem 530: Cyclic Quadrilateral, Diagonal, Diameter, Perpendicular, Congruence, Math Education. Level: High School, SAT, College Geometry

The figure shows a quadrilateral ABCD inscribed in a circle of diameter AC. If AE and CG are perpendicular to BD, prove that BE and DG are congruent.
 

Cyclic quadrilateral, Diagonal, Diameter
 
 

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