Chapter 14, Problem 12CT

To determine

Tofind: the coordinates of the points after transformation $R_1\circ D_{Q,-2}$ .

Answer to Problem 12CT

The coordinates after transformation are $P\text{'}\left(-8,4\right)\text{ and }Q\text{'}\left(-2,4\right)$ .

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 $R_1\circ D_{Q,-2}$ , multiply by $-2$ of each coordinates and then change the sign of $y$ -coordinate ,

Thus, the coordinates of points after transformation are $P\text{'}\left(-8,4\right)\text{ and }Q\text{'}\left(-2,4\right)$ .