Chapter 14, Problem 8CT

To determine

Tofind: the coordinates of the points after transformation $D_{O,\frac{1}{2}}$ .

Answer to Problem 8CT

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

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 $D_{O,\frac{1}{2}}$ , multiply the each coordinate by $\frac{1}{2}$ .

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