Question

A point is dilated with respect to the origin. Determine the value of K and state whether the dilation is an expansion or contraction. Include all necessary calculations for full credit.
DO,K = (2,4) → (8,16)

Answer 1

The value of K is 4 and the dilation is an expansion if the dilation of K is (2,4) → (8,16).

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

We have:

DO,K = (2,4) → (8,16)

It means:

2K = 8 and

4K = 16

K = 4

And K>1 which means the dilation is expansion.

Thus, the value of K is 4 and the dilation is an expansion if the dilation of K is (2,4) → (8,16).

Learn more about the dilation here:

brainly.com/question/13176891

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