Question

Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation. B E What is the scale factor of the dilation? 2 of 4

Answer 1

scale factor = 1/2

Explanation:

pentagon ABCDE:

Distance of BA = 6 squares = 6

Distance of BC = 3 squares = 3

Distance of AE = 3 squares = 3

Distance of ED = 9 squares = 9

Pentagon A'B'C'D'

Distance of B'A' = 2 squares = 2

Distance of B'C' = 1 squares = 1

Distance of A'E' = 1 square = 1

Distance of E'D' = 3 squares = 3

Scale factor is the ratio of new image/ old image

picking any of the distances with the corresponding distance in the other image

for B'A' to BA = 3/6 = 1/2

This is because, the shape has reduced.

scale factor = 1/2