Question

the trapezoid fghi is a dilation of the trapezoid fghi. what is the scale factor of the dilation?

Explanation:

Step1: Identify corresponding points

Take point $F(2,3)$ and its image $F'(3,4.5)$ (or use vertical side length: $HI$ length is 4, $H'I'$ length is 6)

Step2: Calculate scale factor

Scale factor = $\frac{\text{Image length}}{\text{Pre-image length}}$
$\text{Scale factor} = \frac{6}{4} = \frac{3}{2}$

Answer:

$\frac{3}{2}$