The scale factor of the dilation is s = 4 units .
Given :
parallelogram fghj was dilated and translated to form similar parallelogram f'g'h'j'.
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 + 4
= 2
F'G' = 3 - ( - 5 )
= 3 + 5
= 8
Let s be the scale factor
s = F'G' / FG
= 8 / 2
= 4
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