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Geometry Problem 868: Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence. Level: High School, College, Mathematics Education

The figure below shows a cyclic quadrilateral ABCD. ABEF, BCGH, CDJK, and ADLM are rectangles of centers O1, O2, O3, and O4, respectively, so that AF = CD, BH = AD, CK = AB, and DL = BC. Prove that O1O2O3O4 is a rectangle.

 

Geometry Problem 868: Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence
 

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Typography of problem 868.


 

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