Question

the pair of figures is similar. find the missing side. x = 9; x = 1; x = 3; x = 5

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{x}{9} = \frac{1}{3}$.

Step2: Solve for x

Cross - multiply: $3x = 9\times1$. Then, $3x = 9$. Divide both sides by 3: $x=\frac{9}{3}=3$.

Answer:

$x = 3$ (corresponding to the option with $x = 3$)