Question

the parallelogram bcde is a dilation of the parallelogram bcde. 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: Identify corresponding side lengths

Length of $BC$: distance between $B(-4,4)$ and $C(4,4)$ is $|4 - (-4)| = 8$.
Length of $B'C'$: distance between $B'(-1,1)$ and $C'(1,1)$ is $|1 - (-1)| = 2$.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Length of image segment}}{\text{Length of pre-image segment}}$
$\text{Scale factor} = \frac{2}{8} = \frac{1}{3}$

Answer:

$\frac{1}{3}$