Question

the quadrilaterals jklm and pqrs are similar.
find the length x of \\(\overline{rs}\\).

answer

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{\text{Corresponding side of } PQRS}{\text{Corresponding side of } JKLM} = \frac{2}{4} = \frac{1}{2}$

Step2: Set up proportion for $x$

$\frac{x}{3} = \frac{1}{2}$

Step3: Solve for $x$

$x = 3 \times \frac{1}{2} = \frac{3}{2}$

Answer:

$\frac{3}{2}$ or $1.5$