Regular 2009-gon - TT 2009 Senior-O4
Source:
September 3, 2010
geometrygeometric transformationreflectiontrigonometrygeometry unsolved
Problem Statement
A point is chosen on each side of a regular -gon. Let be the area of the -gon with vertices at these points. For each of the chosen points, reflect it across the midpoint of its side. Prove that the -gon with vertices at the images of these reflections also has area (4 points)