**Definition of Order of Rotational Symmetry**

- The number of positions a figure can be rotated to, without bringing in any changes to the way it looks originally, is called its Order of Rotational Symmetry.

**More about Order of Rotational Symmetry**

- Order of rotational symmetry depends upon the number of equal sides that a regular polygon has.

**Examples of Order of Rotational Symmetry**

- A square has rotational symmetry of order 4.
- A rectangle has rotational symmetry of order 2.
- An equilateral triangle has rotational symmetry of order 3.

**Solved Example on Order of Rotational Symmetry**

Find the order of rotational symmetry of the figure shown.

Choices:

A. 6

B. 7

C. 8

D. 12

Correct Answer: A

Solution:

Step 1:Order of rotational symmetry depends upon the number of equal sides that a regular polygon has.

Step 2:The given figure has 6 equal sides.

Step 2:So, it has the rotational symmetry of order 6.

**Related Terms for Order of Rotational Symmetry**

- Order
- Rotational Symmetry