Question

Compare the original figure to the enlarged figure.

Which ratios can be used to find the scale factor?

Check all that apply.

Can you help me, please!
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Answer 1

A C

Explanation:

Answer 2

Given:

Original figure and enlarged figure

To find:

Which ratios can be used to find the scale factor.

Solution:

Scale factor is the ratio of comparing the corresponding sides of two figures.

Option A:

`$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=(6.5)/(3.25)$`

Length of enlarged side = 6.5

Length of original side = 3.25

It is correct.

Option B:

`$\text {Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=(3.25)/(6.5)$`

3.25 is the length of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option C:

`$\text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=(3)/(1.5)$`

Width of enlarged side = 3

Width of original side = 1.5

It is correct.

Option D:

`$\text{Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=(1.5)/(3)$`

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Option E:

`$\text{Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=(1.5)/(3.25)$`

1.5 is the width of original figure. But here it is mentioned in enlarged.

So, it is not correct.

Therefore the ratios can be used to find the scale factor are:

`$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=(6.5)/(3.25)\ \text{and }\ \text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=(3)/(1.5)$`