Question

Compare the original figure to the enlarged figure.

Answer 1

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:

$\text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}$

Length of enlarged side = 6.5

Length of original side = 3.25

It is correct.

Option B:

$\text {Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{3.25}{6.5}$

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

So, it is not correct.

Option C:

$\text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$

Width of enlarged side = 3

Width of original side = 1.5

It is correct.

Option D:

$\text{Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3}$

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

So, it is not correct.

Option E:

$\text{Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3.25}$

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:

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

Answer 2

Answer:

A C

Step-by-step explanation: