McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Circles and Circumference
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Exercise 60 Page 723

Begin by drawing rays from B through each vertex.

Practice makes perfect

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= 25. Let's locate M' on BM such that BM' = 25 BM. To do this, we measure BM first. Then, after multiplying BM by 25 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' and O' in the same way we located M' in Step 2.
Finally, we can connect the vertices and get the image of the new figure.