Chapter 9, Problem 19SGR

To determine

To perform the specified rotation of given figure.

Explanation of Solution

Given:

The vertices of triangle are $M(-2,2),N(0,-2)$ and $O(1,0)$ rotation of ${180}^{\circ }$

Calculation:

To rotate a point ${180}^{\circ }$ counter clockwise about the origin, multiply the y-coordinate and x coordinate by $-1$

  $\begin{array}{l}(x,y)=(-x,-y)\\ M(-2,2)\to M\text{'}(2,-2)\\ N(0,-2)\to N\text{'}(0,2)\\ O(1,0)\to O\text{'}(-1,0)\end{array}$