Question

Figure J, the small quadrilateral, was dilated with the origin as the center of dilation to create Figure K, the large quadrilateral.

Which rule best represents the dilation that was applied to Figure J to create Figure K?

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Answer 1

(x, y) -> (2.5x, 2.5y)

Explanation:

To find which equation is correct, first, let's find a similar point of Figure J and Figure K.

• Figure J: (-3, -2).
• Figure K: (-7.5, -5)

As you can see, Figure J was enlarged by a SF of 2.5 because -3 x 2.5 = -7.5, and -2 x 2.5 = -5.

Therefore, the answer is (x, y) -> (2.5x, 2.5y).