Prove that there exists a point Q
Source: Hungary-Israel Binational Olympiad 2009, Problem 4
August 17, 2009
geometrytrapezoidcircumcircleparallelogrampower of a pointradical axiscomplex numbers
Problem Statement
Given is the convex quadrilateral . Assume that there exists a point inside the quadrilateral for which the triangles and are both isosceles right triangles with the right angle at the common vertex . Prove that there exists a point for which the triangles and are also isosceles right triangles with the right angle at the common vertex .