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Online Geometry Problem 701: Intersecting Circles, Diameter, Perpendicular, Angles, Congruence. Level: High School, Honors Geometry, College, Mathematics Education

The figure shows the intersecting circles O and O' at A and B. AB is the diameter of circle O', CD is perpendicular to AB and EDF is perpendicular to OD. Prove that angles ACF and BCE are congruent.
 

Intersecting circles, Diameter, Perpendicular, Angles, Congruence
 

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