Chapter 11, Problem 22CR

To determine

To find: To check whether the given figure has rotational symmetry.

Answer to Problem 22CR

The given figure has no rotational symmetry.

Explanation of Solution

Rotational symmetry is the property of a shape when it looks same as original after some rotation of partial turn. (i.e. if the figure is rotated by any angle $\theta <{360}^0$ , the original figure is not obtained.)

If the given figure is rotated by an angle ${360}^0$ , then the original figure is obtained.(since every shape on rotation of an angle of ${360}^0$ the original shape is obtained which is not considered under symmetry.)

Therefore, this indicates that the given figure has no rotational symmetry.