Question

question 7 of 25 given the diagram below, what is the length of segment ef? b 3.4 c e f a 7.6 d a. 4.2 b. 4.4 c. 5.5 d. 5.2

Explanation:

Step1: Recall mid - segment formula

For a trapezoid with bases \(b_1\) and \(b_2\), the length of the mid - segment (the line segment connecting the mid - points of the non - parallel sides) is given by \(M=\frac{b_1 + b_2}{2}\). Here, assume \(EF\) is the mid - segment of trapezoid \(ABCD\) with \(b_1=3.4\) and \(b_2 = 7.6\).

Step2: Calculate length of \(EF\)

\(EF=\frac{3.4 + 7.6}{2}=\frac{11}{2}=5.5\)

Answer:

C. 5.5