Question

determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. then find the scale factor of the dilation.

Explanation:

Step1: Determine enlargement/reduction

Compare the side lengths. Left figure (ABCD) has height 6 in, right (LM) has 18 in. Since 18 > 6, it's an enlargement.

Step2: Calculate scale factor

Scale factor = \(\frac{\text{Length of image}}{\text{Length of pre - image}}\) = \(\frac{18}{6}\) = 3.

Answer:

The dilation is an enlargement, and the scale factor is 3.