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calculista

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

\(4\)

JeanaShupp

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 :-

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

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