MathDB
reflections of intersection wrt sides ABCD are concyclic

Source: Czech and Slovak Match 1995 P5

October 1, 2017
convex quadrilateraldiagonalsreflectionConcyclicorthogonalgeometry

Problem Statement

The diagonals of a convex quadrilateral ABCDABCD are orthogonal and intersect at point EE. Prove that the reflections of EE in the sides of quadrilateral ABCDABCD lie on a circle.