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](p868-cyclic-quadrilateral-five-rectangles-centers.gif)
See also:
Typography of problem 868.
|