Question

quadrilateral cdef is similar to quadrilateral ghij. find the measure of side gh. round your answer to the nearest tenth if necessary.
f
e
47
c
16
d
j
i
10
g
h

Explanation:

Step1: Identify Corresponding Sides

Since quadrilaterals \( CDEF \) and \( GHIJ \) are similar, their corresponding sides are proportional. Let's assume \( CF \) corresponds to \( GJ \), and \( CD \) corresponds to \( GH \). So \( CF = 47 \), \( GJ = 10 \), \( CD = 16 \), and we need to find \( GH \).

Step2: Set Up Proportion

The ratio of corresponding sides should be equal. So \(\frac{CF}{GJ}=\frac{CD}{GH}\). Substituting the known values: \(\frac{47}{10}=\frac{16}{GH}\).

Step3: Solve for \( GH \)

Cross - multiply: \( 47\times GH = 10\times16 \). Then \( GH=\frac{10\times16}{47}=\frac{160}{47}\approx3.4 \).

Answer:

\( 3.4 \)