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=[tex]|-2-(-4)|=|-2|=2[/tex] units
Similarly , F'G'=[tex]|3-(-5)|=|8|=8[/tex] units
Let k be the scale factor of the dilation.
The scale factor of the dilation is given by :-
[tex]k=\frac{F'G'}{FG}\\\Rightarrow\ k=\frac{8}{2}=4[/tex]
