Question

the parallelogram stuv is a dilation of the parallelogram stuv. 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 $S(0,1)$ and its image $S'(0,5)$; or $T(2,1)$ and $T'(10,5)$

Step2: Calculate scale factor

Scale factor = $\frac{\text{Coordinate of image}}{\text{Coordinate of pre-image}}$. Using the y-coordinates of $S$ and $S'$:
$\text{Scale factor} = \frac{5}{1} = 5$
Verify with x-coordinate of $T$ and $T'$: $\frac{10}{2} = 5$

Answer:

$5$