Every professional mathematician is familiar with the following experience.
You meet someone at a party and they ask you what you do for a living. The greatest challenge in my work as a teacher is trying to transmit my enthusiasm for solving problems to my students. In this session I would like to share with you some problems that might get people, young and old hooked on problem solving with reasoning. Let X be a figure in the plane. Assume that X is moved to itself by a rotation about a point O by 48 o .