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:
[tex]$ \text {Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{6.5}{3.25}$[/tex]
Length of enlarged side = 6.5
Length of original side = 3.25
It is correct.
Option B:
[tex]$\text {Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{3.25}{6.5}$[/tex]
3.25 is the length of original figure. But here it is mentioned in enlarged.
So, it is not correct.
Option C:
[tex]$\text {Scale factor }=\frac{\text { Enlarged }}{\text { Original }}=\frac{3}{1.5}$[/tex]
Width of enlarged side = 3
Width of original side = 1.5
It is correct.
Option D:
[tex]$\text{Scale factor} =\frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3}$[/tex]
1.5 is the width of original figure. But here it is mentioned in enlarged.
So, it is not correct.
Option E:
[tex]$\text{Scale factor}= \frac{\text { Enlarged }}{\text { Original }}=\frac{1.5}{3.25}$[/tex]
1.5 is the width of original figure. But here it is mentioned in enlarged.
So, it is not correct.
Therefore the ratios can be used to find the scale factor are:
[tex]$ \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}$[/tex]
