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.
(there are two pentagons, the left one has side dc labeled 9 ft, the right one has side yx labeled 6 ft.)

Explanation:

Step1: Determine enlargement/reduction

Compare the side lengths. Left side (DC) is 9 ft, right side (YX) is 6 ft. Since 6 < 9, it's a reduction.

Step2: Calculate scale factor

Scale factor = \(\frac{\text{Length of image}}{\text{Length of pre - image}}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)

Answer:

The dilation is a reduction with a scale factor of \(\frac{2}{3}\).