I'm currently trying to read a geometry and symmetry book and came across a little problem that I am having difficulty understanding.
I need to show that if xm=mx then the point X is on the line M, and also that if xa=ax, then the point X is on the plane A.
Note that x is the inversion through the point X and m is the reflection across the mirror M.
Super stuck. Any insight or suggestions would be great. Thanks.