# Exploring rotational symmetry of regular polygons - Lesson+Exploration+Practice

A shape has

*when it looks the same after some rotation by a partial turn about its center. The***rotational symmetry***of the rotational symmetry is the number of times a shape can “fit into itself” when it is rotated. Let's explore the order of rotational symmetry of some regular polygons! Use the***order****slider to select the number of sides of the polygon, then rotate the polygon using the***sides**slider, until the rotated shape overlaps the original one exactly. Complete the full rotation of your polygon, and***rotate****the number of times that it overlapped the original one.***count*How many times has your polygon overlapped the original one, after a full rotation of 360°? Can you relate the number of sides of the polygon and its order of rotational symmetry?

## Food for thought...

Now imagine rotating a circle about its center, and consider the definition of rotational symmetry. What is the order of rotational symmetry for a circle?