Question

How do you find the scale factor of a dilation?

Answer 1

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Answer:

  scale factor = (image distance)/(pre-image distance)

Step-by-step explanation:

The scale factor from a pre-image to an image is the ratio of some linear measurement of the image to the corresponding linear measurement of the pre-image:

  scale factor = (image distance)/(pre-image distance)

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The corresponding measurements can be measurements of side length, arc length, diameter, circumference, perimeter, chord length, or the length of any point on the image to the center of dilation (if known). The only requirement is that corresponding measurements be used, and that they be linear dimensions, not areas or volumes or angles (or anything else with units other than distance units).

Answer 2

Answer:

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor