Question

the rectangle pqrs is a dilation of the rectangle pqrs. 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 side lengths

Length of $PQ$: $|1 - (-2)| = 3$
Length of $P'Q'$: $|5 - (-10)| = 15$

Step2: Calculate scale factor

Scale factor = $\frac{\text{Image length}}{\text{Pre-image length}}$
$\text{Scale factor} = \frac{15}{3} = 5$

Answer:

$5$