Using proportions, it is found that the scale of dilation is of [tex]\frac{3}{4}[/tex].
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:
[tex]\frac{9}{12} = \frac{3}{4}[/tex].
The length of MN changed from 8 to 6, hence:
[tex]\frac{6}{8} = \frac{3}{4}[/tex].
Thus, the scale of dilation is of [tex]\frac{3}{4}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
