Question

the rectangle ( ghij ) is a dilation of the rectangle ( ghij ). what is the scale factor of the dilation?
simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Explanation:

Step1: Find length of GH

GH is from (-2,-2) to (4,-2), length = $4 - (-2) = 6$

Step2: Find length of G'H'

G'H' is from (-6,-4) to (8,-4), length = $8 - (-6) = 14$

Step3: Calculate scale factor

Scale factor = $\frac{\text{Length of image}}{\text{Length of preimage}} = \frac{14}{6} = \frac{7}{3}$

Answer:

$\frac{7}{3}$