A simple polygon in the plane is a figure bounded by a closed nonself-intersecting broken line.(a) Do there exist two congruent simple 7-gons in the plane such that all the seven vertices of one of the 7-gons are the vertices of the other one and yet these two 7-gons have no common sides?(b) Do there exist three such 7-gons? (V Proizvolov) combinatoricscombinatorial geometrygeometry