Question

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

Explanation:

Step1: Select corresponding side lengths

Choose a side of figure $H$ and its corresponding side in figure $H'$. Suppose a side of figure $H$ has length $3$ units and the corresponding side of figure $H'$ has length $4$ units.

Step2: Calculate scale - factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the dilated figure ($H'$) to the length of the corresponding side of the original figure ($H$). So $k=\frac{\text{length of side in }H'}{\text{length of corresponding side in }H}=\frac{4}{3}$.

Answer:

$\frac{4}{3}$