Exercise 42 Page 963

To draw the image of a figure under a dilation with center $P$ and the scale factor $r,$ we need to follow a few steps.

1. Draw rays from $P$ through each vertex.
2. Choose one vertex, which we will arbitrarily call $A.$ Locate $A^{\prime }$ on $\overrightarrow{PA}$ such that $P{A}^{\prime }=rPA.$
3. Repeat Step $2$ for the remaining vertices. Then connect the new vertices to create the image.

Let's draw the dilation of the given figure!