Question

What is the scale factor of the dilation shown?

There are two triangles LMN and L'M'N'. The length of LM is LM is 12 and other two sides LN and MN is 8. The length of L'M' is 9 and other sides L'N' and M'N; is 6

Answer 1

Using proportions, it is found that the scale of dilation is of $\frac{3}{4}$.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The length of LM changed from 12 to 9, hence:

$\frac{9}{12} = \frac{3}{4}$.

The length of MN changed from 8 to 6, hence:

$\frac{6}{8} = \frac{3}{4}$.

Thus, the scale of dilation is of $\frac{3}{4}$.

More can be learned about proportions at https://brainly.com/question/24372153