Question

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

What is the scale factor of the dilation?



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Answer 1

1/2 because all points are half of the original

Answer 2

The dilation's scale factor is 1/2.

Explanation:

What we know:

Square ABCD's side lengths are all 3.

-2 - (-5)

-2 + 5 = 3

-5 - (-8)

-5 + 8 = 3

Square A'B'C'D''s side lengths are all 1.5.

-2.5 - (-4)

-2.5 + 4 = 1.5

-1 - (-2.5)

-1 + 2.5 = 1.5

Divide the scale (A'B'C'D') by the original (ABCD) to get the scale factor

1.5/3 = 1/2 as the scale factor of the dilation