In the dilation shown above, the dark-colored figure represents the original image and the light-colored figure represents theresulting image.What is the scale factor for this dilation?

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27-10-2022
Mathematics

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In the dilation shown above, the dark-colored figure represents the original image and the light-colored figure represents theresulting image.What is the scale factor for this dilation?

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KarleenO651782 KarleenO651782 · Answer 1 · 2022-10-27T14:59:02+02:00

The scale factor k of a dilation can be found by comparing the lengths of one side of the figure before and after the dilation as follows:

[tex]k=\frac{\text{length after the dilation}}{\text{length before the dilation}}[/tex]

Notice that the horizontal base of the original image has a length of 4 units, while the horizontal base of the image after the dilation has a length of 1 unit. Then:

[tex]k=\frac{1}{4}[/tex]

Therefore, the scale factor for this dilation is 1/4.