Chapter 11.3, Problem 12PPS

To determine

To find:whether thegiven swimming formation has the rotational symmetry or not. If

yes, to find the angle of rotation.

Explanation of Solution

Given information:

Following swimming formation is given:

  

The figure has eight sides.

Each side makes an angle with the centre $=\frac{{360}^0}{8}={45}^0$

Consider the figure is rotated about ${45}^0$ around its centre. Then, the figure is

exactly same as before rotation.

So,we can say that the figure has rotational symmetry.

The angle of rotation is ${45}^0$

Hence, the given figure has the rotational symmetry and it has angle of rotation ${45}^0$