Question

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

What is the scale factor of the dilation?

1/8
1/4
4
8

Answer 1

Answer: 4

Explanation:

From the given picture, To find scale factor between figures, find two corresponding sides and write the ratio of the two sides.

The value of y is same through the distance of F to G.

So, FG= change in x coordinates

FG=
`|-2-(-4)|=|-2|=2` units

Similarly , F'G'=
`|3-(-5)|=|8|=8` units

Let k be the scale factor of the dilation.

The scale factor of the dilation is given by :-

`k=(F'G')/(FG)\\\Rightarrow\ k=(8)/(2)=4`

Answer 2

we know that

The scale factor is equal to

`Scale\ Factor=(F'G')/(FG)`

we have

`F'G'=8\ units\\FG=2\ units`

substitute

`Scale\ Factor=(8)/(2)`

`Scale\ Factor=4`

therefore

the answer is

`4`