Let A and B are two points on a plane, and let M be the midpoint of AB. Let r be a line and let R and S be the projections of A and B onto r. Assuming that A, M, and R are not collinear, prove that the circumcircle of triangle AMR has the same radius as the circumcircle of BSM. geometrycircumcircletrigonometryperpendicular bisectorgeometry proposed