In each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.

In each of the following graphs the two given polygons are similar Write precisely a single dilation coordinates of center and coefficient by which the image la class=
In each of the following graphs the two given polygons are similar Write precisely a single dilation coordinates of center and coefficient by which the image la class=

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