Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
5. Dilations
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Exercise 30 Page 213

To find the scale factor k, the length of the image should be divided by the length of preimage.

k=20/17

Practice makes perfect
To find the scale factor k, we need to calculate the ratio between the image and the preimage. scale factor=image length/preimage length The image is what we have after the dilation. In this case, the image is the smaller side of the enlarged copy with a length of 10inches. The preimage, which in this case is the paper of the original notes, has a dimension of 8.5inches by 11inches. To calculate k, we can substitute either pair of the corresponding sides. Since we know the shorter sides of both images, let's use them.
k=10/8.5
k=10*2/8.5*2
k=20/17