Question

quadrilateral mnop below is a trapezoid. use the figure to select the best answer from the choices provided

if mn = 22 and po = 8, what is the length of hg?

select the best answer from the choices provided.

a. 30
b. 15
c. 14
d. 7

Explanation:

Step1: Recall the mid - segment formula of a trapezoid

The length of the mid - segment \(HG\) of a trapezoid \(MNOP\) is given by \(HG=\frac{PO + MN}{2}\).

Step2: Substitute the values of \(PO\) and \(MN\)

We know that \(MN = 22\) and \(PO=8\). Substitute these values into the formula: \(HG=\frac{8 + 22}{2}\).

Step3: Calculate the value of \(HG\)

First, add the numbers in the numerator: \(8+22 = 30\). Then divide by 2: \(\frac{30}{2}=15\).

Answer:

B. 15