Question

what is the scale factor of the dilation? scale factor =

Explanation:

Step1: Find the length of a corresponding side

Take the horizontal side \(ML\) and \(M'L'\).
The length of \(ML\) (from \(x = 0\) to \(x = 9\)) is \(9\) units.
The length of \(M'L'\) (from \(x = 0\) to \(x = 3\)) is \(3\) units.

Step2: Calculate the scale factor

The formula for scale factor \(k=\frac{\text{length of image segment}}{\text{length of pre - image segment}}\).
So, \(k=\frac{M'L'}{ML}=\frac{3}{9}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)