Question

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

Explanation:

Step1: Identify corresponding points

Choose a pair of corresponding vertices, e.g., $V(6,0)$ and $V'(10,0)$, or $S(-2,6)$ and $S'(-5,10)$.

Step2: Calculate scale factor

The scale factor $k$ is the ratio of the coordinates of the dilated point to the original point. Using $V$ and $V'$:
$k = \frac{x_{V'}}{x_{V}} = \frac{10}{6} = \frac{5}{3}$
Verify with $S$: $\frac{x_{S'}}{x_{S}} = \frac{-5}{-2} = \frac{5}{3}$, $\frac{y_{S'}}{y_{S}} = \frac{10}{6} = \frac{5}{3}$

Answer:

$\frac{5}{3}$