Answer to Question #195872 in Analytic Geometry for RIDA

Question

isometries of regular polygon and regular polyedra

Answer 1

isometries of regular polygon and regular polyhedral-

1. There are total 2n symmetries.
2. Out of that n are rotations about the center for multiples of $\dfrac{360}{n}.$
3. There are total n reflections in the lines that pass from its center.
4. The group of these symmetries is called dihedral group.