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 points

Take point $B(0,4)$ and its image $B'(0,5)$; or $D(0,-8)$ and $D'(0,-10)$

Step2: Calculate scale factor

Scale factor = $\frac{\text{Image coordinate}}{\text{Pre-image coordinate}}$. Using $B$ and $B'$:
$\frac{5}{4}$
Verify with $D$ and $D'$: $\frac{-10}{-8}=\frac{5}{4}$

Answer:

$\frac{5}{4}$