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Online Geometry Problem 866: Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees. Level: High School, College, Mathematics Education

The figure below shows a cyclic quadrilateral ABCD. ABEF, BCGH, and CDJK are rectangles of centers O1, O2, and O3, respectively, so that AF = CD, BH = AD, and CK = AB. Prove that the measure of angle O1O2O3 is 90 degrees.

 

Geometry Problem 866: Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees
 

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