Chapter 9, Problem 29SGR

To determine

To find: Whether the given figure has rotational symmetry or not. If yes, locate the centre of symmetry, the order and the magnitude of symmetry.

Explanation of Solution

Given information:

The given figure is,

  

Yes, the given figure has rotational symmetry.

Consider the following figure shows the centre of symmetry,

  

The figure rotates four time onto itself from $0°$ to $360°$ , so it has order four symmetry.

The magnitude of symmetry is calculated as,

  $\begin{array}{c}m=\frac{360°}{\text{order}}\\ =\frac{360°}{4}\\ =90°\end{array}$

Thus, the magnitude of symmetry is $90°$ .