Question

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

Answer 1

we know that

The scale factor is equal to

$Scale\ Factor=\frac{F'G'}{FG}$

we have

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

substitute

$Scale\ Factor=\frac{8}{2}$

$Scale\ Factor=4$

therefore

the answer is

$4$

Answer 2

Answer: 4

Step-by-step 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 :-

$k=\frac{F'G'}{FG}\\\Rightarrow\ k=\frac{8}{2}=4$