Question

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

Explanation:

Step1: Identify corresponding points

Take point $C(-8, 0)$ and its image $C'(-2, 0)$.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Coordinate of image}}{\text{Coordinate of original}}$
$\text{Scale factor} = \frac{-2}{-8} = \frac{1}{4}$
(Verify with another pair: $E(8, -8)$ and $E'(2, -2)$: $\frac{2}{8} = \frac{1}{4}$, $\frac{-2}{-8} = \frac{1}{4}$)

Answer:

$\frac{1}{4}$