MathDB

5

Part of 1995 Czech and Slovak Match

Problems(1)

reflections of intersection wrt sides ABCD are concyclic

Source: Czech and Slovak Match 1995 P5

10/1/2017
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.
convex quadrilateraldiagonalsreflectionConcyclicorthogonalgeometry