Question

the parallelogram ghij is a dilation of the parallelogram 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: Identify corresponding points

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

Step2: Calculate scale factor

Scale factor = $\frac{\text{Coordinate of image}}{\text{Coordinate of original}}$. Using $x$-coordinates of $J$ and $J'$:
$\frac{-10}{-8} = \frac{5}{4}$
Verify with $I$: $\frac{5}{4}$ (matches, since $4 \times \frac{5}{4}=5$)

Answer:

$\frac{5}{4}$