McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
8. Dilations
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Exercise 1 Page 697

Begin by drawing rays from M through each vertex.

Practice makes perfect

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

  • Step 1: Draw rays from M through each vertex.
  • Step 2: Choose one vertex, which we will arbitrarily call A. Locate A' on MA such that MA' = k MA.
  • Step 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!

Step 1

We will begin by drawing the rays from M through each vertex. Let's also name the remaining vertices A, B, and C.

Step 2

The given scale factor is k= 14. Let's locate A' on MA such that MA' = 14 MA. To do this, we measure MA first. Then, after multiplying MA by 14, we get the length of MA'. We locate point A' by measuring this length from M along MA.

Step 3

We can locate B' on MB and C' on MC in the same way we located A' in Step 2.

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