Question

quadrilateral cdef is similar to quadrilateral ghij. find the measure of side ij. round your answer to the nearest tenth if necessary.
answer attempt 1 out of 2

Explanation:

Step1: Set up the proportion

Since the quadrilaterals are similar, the ratios of corresponding sides are equal. Let \(IJ = x\). We have the proportion \(\frac{IJ}{EF}=\frac{GH}{CD}\), which is \(\frac{x}{2}=\frac{23}{5}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(5x = 2\times23\). So \(5x=46\). Then \(x=\frac{46}{5}=9.2\).

Answer:

\(9.2\)