Respuesta :
Answer:
See below.
Step-by-step explanation:
The center of the dilation is at the point (6, -6) and the coefficient is 2.
( Note that the corresponding sides of the image are 2 * the sides of the original polygon).
The dilation will be 2.
Dilation
It is the process of getting magnification of small or demagnification of large or big objects.
Given
ABCD is similar to A'B'C'D' and A'B'C'D' is the magnification of ABCD.
How to calculate the dilation?
Dilation is the ratio of corresponding sides that remains constant.
[tex]\dfrac{A'B'}{AB} = \dfrac{B'C'}{BC} = \dfrac{C'D'}{CD} = \dfrac{A'D'}{AD} = k[/tex]
From the graph, we can say that
AB = 3
A'B' = 6
Then dilation k will be
[tex]k = \dfrac{A'B'}{AB} \\\\k = \dfrac{6}{3} \\\\k = 2[/tex]
Thus, the dilation will be 2.
More about the Dilation link is given below.
https://brainly.com/question/2856466