Problem #PRU-57977

Problems Geometry Plane geometry Plane transformations Similarity Homothetic transformations, rotations of homothetic transformations
 14–14  2.0

Problem

Let \(ABCD\) be a square and let \(P\) be any point in the plane. For each side of the square, take its midpoint. Reflect \(P\) about each of these four midpoints. Show that the four reflected points form the vertices of a square.