Question

Pentagons ABCDE and A'B'C'D'E' are shown, where A'B'C'D'E' was created using a dilation centered at point E. Some of the measurements are listed: AB = 124.8 cm A'B' = 74.88 cm Determine the scale factor of the dilation.

Answer 1

To find the scale factor of the dilation, divide the length of the corresponding side in the image by the length of the corresponding side in the original shape. In this case, the scale factor is 0.6.

Step-by-step explanation:

To find the scale factor of the dilation, we can compare the corresponding sides of the two pentagons. In this case, we need to compare AB and A'B'. The scale factor is determined by dividing the length of the corresponding side in the image by the length of the corresponding side in the original shape.

Scale factor = A'B'/AB = 74.88 cm / 124.8 cm = 0.6

Therefore, the scale factor of the dilation is 0.6.