Exercise 59 Page 723

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

• Step 1: Draw rays from B through each vertex.
• Step 2: Choose one vertex which we will arbitrarily call M. Locate M' on BM such that BM' = r BM.
• Step 3: Repeat Step 2 for the remaining vertices. Then connect the new vertices to have the image.

Let's draw the dilation of the given figure!

Step 1

We will begin by drawing the rays from B through each vertex. Let's also name the remaining vertices with consecutive letters.

Step 2

The given scale factor is r= 15. Let's locate M' on BM such that BM' = 15 BM. To do this, we measure BM first. Then, after multiplying BM by 15, we get the length of BM'. We locate the point M' by measuring this length from B along BM.

Step 3

We can locate N', O', P', R', and S' in the same way we located M' in Step 2.

Finally, we can connect the new vertices and get the new figure.