Question

The dashed triangle is the image of the pre-image solid triangle.

What is the scale factor used to create the dilation?

Answer 1

The scale factor is 4.

Answer 2

see the attached figure with letters to better understand the problem

we know that

the scale factor is equal to

`scale\ factor=(A'B')/(AB)` or
`scale\ factor=(B'C')/(BC)`

we have

`A'B'=8\ units \\AB=2\ units`

substitute in the formula

`scale\ factor=(8)/(2)`

`scale\ factor=4`

therefore

the answer is

the scale factor is equal to
`4`