Problem #WSP-000300

Problems Geometry Symmetry

Problem

Let \(n\ge3\) be a positive integer. A regular \(n\)-gon is a polygon with \(n\) sides where every side has the same length, and every angle is the same. For example, a regular \(3\)-gon is an equilateral triangle, and a regular \(4\)-gon is a square.

What symmetries does a regular \(n\)-gon have, and how many?