There is a circle k in a plane with center M and radius r. The following illustration, through which every point P=M., is called a “reflection on the circle k” from ε a point P′ from ε is assigned:(1) P′ lies on the ray emanating fromM and passing through P.
(2) It is MP⋅MP′=r2.a) Construct the mirror point P′ for any given point P=M inside k.b) Let another circle k1 be given arbitrarily, but such that M lies outside k1.Construct k1′ , i.e. the set of all mirror points P′ of the points P of k1. geometryInversiongeometric transformation