Question

Rectangle JKLM is similar to rectangle WXYZ .

What is the scale factor of a dilation from JKLM to WXYZ ?

Answer 1

the scale factor is 1.5

Answer 2

The scale factor is equal to
`1.5`

Explanation:

we know that

If rectangle JKLM is similar to rectangle WXYZ

then

the ratio of their corresponding sides is equal and is called the scale factor

so

In this problem

`(ZW)/(JM) =(WX)/(JK)`

In this problem we have

`ZW=13.5\ cm`

`JM=9\ cm`

`WX=18\ cm`

`JK=12\ cm`

Substitute

`(13.5)/(9) =(18)/(12)`

`1.5=1.5` -----> is true

The rectangles are similar

The scale factor is equal to
`1.5`