A triangle T is contained inside a point-symmetrical polygon
Source: Russian Olympiad 2004, problem 10.7
May 3, 2004
geometrygeometric transformationreflectionsymmetryhomothetyparallelogramgeometry solved
Problem Statement
A triangle is contained inside a point-symmetrical polygon The triangle is the mirror image of the triangle with the reflection at one point , which inside the triangle lies. Prove that at least one of the vertices of the triangle lies in inside or on the boundary of the polygon