Question

your turn: similarity practice (select answers are shown on last page)

1. the polygons are similar. solve for x.

a)
b)

Explanation:

Part a)

Step1: Find similarity ratio

$\text{Ratio} = \frac{JL}{PQ} = \frac{21}{14} = \frac{3}{2}$

Step2: Set up proportion for sides

$\frac{x}{20} = \frac{3}{2}$

Step3: Solve for x

$x = 20 \times \frac{3}{2} = 30$

Part b)

Step1: Find similarity ratio

$\text{Ratio} = \frac{MJ}{RN} = \frac{12}{24} = \frac{1}{2}$

Step2: Set up proportion for sides

$\frac{x}{22} = \frac{1}{2}$

Step3: Solve for x

$x = 22 \times \frac{1}{2} = 11$

Answer:

a) $x=30$
b) $x=11$