Question

Square A’B’C’D’ is a dilation of square ABCD. Note that the images are not necessarily drawn to scale.

What is the scale factor?

Answer 1

The scale factor is 1/3.
To figure this out we need to multiply 6 by x to get 2.
Once we figure out what x is, that is the scale factor. In this case, the scale factor is 1/3.

Answer 2

The scale factor is $\dfrac{1}{3}$.

Important information:

• Square A’B’C’D’ is a dilation of square ABCD.
• In the figures AB = 6 and A'B' = 2.

We need to find the scale factor.

Scale factor:

Formula for scale factor is:

$\text{Scale factor}=\dfrac{\text{Side length of scaled copy}}{\text{Side length of original figure}}$

$\text{Scale factor}=\dfrac{A'B'}{AB}$

$\text{Scale factor}=\dfrac{2}{6}$

$\text{Scale factor}=\dfrac{1}{3}$

Therefore, the scale factor is $\dfrac{1}{3}$.

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