Let ABCD be a rectangle of length m and width n, with m,n positive integers. Consider a ray of light that starts from A, reflects with an angle of 45o on an opposite side and continues reflecting away at the same angle.∙ For any pair (m,n), show that the ray meets a vertex at some point.∙ Suppose m and n are coprime. Determine the number of reflections made by the ray of light before encountering a vertex for the first time. geometryreflectionrectangle