Question

the parallelogram fghi is a dilation of the parallelogram fghi. 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

Points G(0,4) and H(0,-4). The distance \( GH = |4 - (-4)| = 8 \).

Step2: Find length of G'H'

Points G'(0,1) and H'(0,-1). The distance \( G'H' = |1 - (-1)| = 2 \).

Step3: Calculate scale factor

Scale factor \( = \frac{\text{Length of image}}{\text{Length of original}} = \frac{G'H'}{GH} = \frac{2}{8} = \frac{1}{4} \).

Answer:

\(\frac{1}{4}\)