Exercise 61 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= 2. Let's locate M' on BM such that BM' = 2 BM. To do this we measure BM first. Then, after multiplying BM by 2 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', and P' in the same way we located M' in Step 2.

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