Question

quadrilateral qrst is dilated and translated to form similar figure qrst. what is the scale factor for the dilation?

Explanation:

Step1: Identify corresponding sides

Choose side Q'R' (small figure) and QR (large figure). Count grid units: Q'R' = 2 units, QR = 6 units.

Step2: Calculate scale factor

Scale factor = $\frac{\text{image length}}{\text{pre-image length}} = \frac{Q'R'}{QR} = \frac{2}{6} = \frac{1}{3}$

Answer:

$\frac{1}{3}$