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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?

In the dilation shown above, the dark-colored figure represents the original image-example-1
User Izumi
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1 Answer

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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:


k=\frac{\text{length after the dilation}}{\text{length before the dilation}}

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:


k=(1)/(4)

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

User Ahmad Nawaz
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