Chapter 14, Problem 10CT

To determine

Tofind: the coordinates of the points after transformation $R_{O,90}\circ R_{O,90}$ .

Answer to Problem 10CT

The coordinates after transformation are $P\text{'}\left(-4,-2\right)\text{ and }Q\text{'}\left(-1,-2\right)$ .

Explanation of Solution

Given information:

From the figure provided in the question, it can be observed that

The coordinates of points are $P\left(4,2\right),Q\left(1,2\right)$ .

Calculation: to find the coordinates after transformation $R_{O,90}\circ R_{O,90}$ , change $x\text{ and }y$ coordinates sign because first rotate ${90}^{\circ }$ and then ${90}^{\circ }$ ,

Thus, the coordinates of points after transformation are $P\text{'}\left(-4,-2\right)\text{ and }Q\text{'}\left(-1,-2\right)$ .