Question

quadrilateral defg is similar to quadrilateral hijk. find jk. round your answer to the nearest tenth if necessary. figures are not drawn to scale. answer attempt 1 out of 2

Explanation:

Step1: Use the property of similar quadrilaterals

For similar quadrilaterals, the ratios of corresponding sides are equal.
So, \(\frac{JK}{DE}=\frac{KH}{EF}\) (Here \(DE = 13\), \(EF=20\), \(KH = 46\), and \(JK=x\))
The proportion is \(\frac{x}{13}=\frac{46}{20}\)

Step2: Solve the proportion for \(x\)

Cross - multiply: \(20x=13\times46\)
\(20x = 598\)
Then \(x=\frac{598}{20}=29.9\)

Answer:

\(29.9\)