Polygon abcd is dilated, rotated, and translated to form polygon a′b′c′d′. the endpoints of ab are at (0, -7) and (8, 8), and the endpoints of a'b' are at (6, -6) and (2, 1.5). what is the scale factor of the dilation?

Given that there is a line segment ABwith end points at A(0.-7) and B(8,8)

this is transformed into A'B' with end points (6,-6) and (2,1.5)

To find the scla efactor of dilation.

It is enough to find the ratio of A'B' to AB.

AB = distance between A and B =

Let us find new length A'B'

A'B' = distance between A' and B' =

i.e. 17 distance is shrunk into 8.5 distance.

Hence scale factor= 8.5/17 = 1/2

there is a dilation of 1/2 .

Scale factor = 1/2