One recommendation I always do my students is to try to solve the same problem in different ways, instead of many times the same problems with almost similar statements.
We see a problem with metric or projective approaches in each case.
In one of my last classes we propose are obtaining the inverse of a point, an investment in the center and power is known. The proposed statement was as follows:
Since the square in Figure, in which one vertex is the center of inversion and the opposite vertex is a double point, determining the inverse of the point A (adjacent vertex).