Question

Rectangle A’B’C’D’ is the image of rectangle ABCD after dilation. What is the scale factor of the dilation?

Answer 1

Answer:

The scale factor of the dilation is 3

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

so

Rectangle ABCD and rectangle A'B'C'D' are similar

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$z=\frac{D'C'}{DC}$

we have

$D'C'=12-3=9\ units$ ----> difference of x-coordinates

$DC=4-1=3\ units$  ---> difference of x-coordinates

substitute

$z=\frac{9}{3}=3$

The scale factor is greater than 1

so

The dilation is a enlargement