Question

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

Explanation:

Step1: Recall mid - segment formula

For a trapezoid, if \(EF\) is the mid - segment (the line segment connecting the mid - points of the non - parallel sides), the length of the mid - segment of a trapezoid is given by the formula \(EF=\frac{BC + AD}{2}\).

Step2: Substitute given values

We know that \(BC = 3.4\) and \(AD=7.6\). Substitute these values into the formula: \(EF=\frac{3.4 + 7.6}{2}\).

Step3: Calculate the sum in the numerator

First, calculate \(3.4+7.6 = 11\). Then, \(EF=\frac{11}{2}=5.5\).

Answer:

B. 5.5