Chapter 12, Problem 14CT

To determine

To give: Each angle and direction of rotation that produce rotational symmetry.

Answer to Problem 14CT

The angle of rotation is ${180}^{\circ }$ and the direction of rotation is clockwise or anti clockwise.

Explanation of Solution

Given information: Draw the polygon and any lines of symmetry . If the polygon has rotational symmetry to give each angle and direction of rotation that produce rotational symmetry.

  

Description: From the given polygon. Every opposite lines of the polygon is symmetry and there are parallel lines to each other .

Now if I rotate ${180}^{\circ }$ any line of the polygon there is no change to each.

So the angle of the rotation is ${180}^{\circ }$ .

There is no particular direction for rotation of the given polygon.

So the direction of rotation is clockwise or anti clockwise.

Hence, The angle of rotation is ${180}^{\circ }$ and the direction of rotation is clockwise or anti clockwise.