Online Geometry Education

Problem 408: Cyclic quadrilateral, Perpendicular, Parallelogram, Congruence

The figure shows a cyclic quadrilateral ABCD. Lines AE, BF, CG, and DH are perpendicular to CD, AD, AD, and AB, respectively. AE and CG intersect at M, BF and DH intersect at N. Prove that quadrilateral BCMN is a parallelogram. Post a comment or solution.

Cyclic quadrilateral, perpendicular, parallelogram, congruence

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