8. Dilations
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To draw the image of a figure under a dilation with center S and the scale factor k, we need to follow a few steps.
We will begin by drawing the rays from S through each vertex. Let's also name the remaining vertices A, B, C, and D.
The given scale factor is k= 3. Let's locate A' on SA such that SA' = 3 SA. To do this, we measure SA first. Then, after multiplying SA by 3, we get the length of SA'. We locate point A' by measuring this length from S along SA.
We can locate B' on SB, C' on SC, and D' on SD 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.