Question

ryan dilates figure h to form figure h, as shown. what scale factor did ryan use? o $\frac{1}{3}$ o $\frac{3}{2}$ o 3 o 4

Explanation:

Step1: Select a side to measure

Let's consider a horizontal side of the figure. Suppose a side - length of figure $H$ is 3 units and the corresponding side - length of figure $H'$ is 1 unit.

Step2: Calculate the scale factor

The scale factor $k$ is given by the ratio of the length of a side of the image ($H'$) to the length of the corresponding side of the pre - image ($H$). So, $k=\frac{\text{Length of side in }H'}{\text{Length of corresponding side in }H}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$