Question

if these two shapes are similar, what is the measure of the missing length q? q = inches

Explanation:

Step1: Set up proportion

For similar - shaped polygons, the ratios of corresponding sides are equal. Let the ratio of the sides of the two similar shapes be $\frac{q}{1}=\frac{8}{2}$.

Step2: Solve the proportion

Cross - multiply the proportion $\frac{q}{1}=\frac{8}{2}$. Since $2q = 8\times1$, then $q=\frac{8}{2}$.

Answer:

4