Question

cd is the midsegment of trapezoid abgf. ab = 7, fg = 11, cd =?

Explanation:

Step1: Recall the midsegment formula

The formula for the midsegment \( CD \) of a trapezoid is \( CD=\frac{AB + FG}{2} \).

Step2: Substitute the given values

Given \( AB = 7 \) and \( FG=11 \), substitute into the formula: \( CD=\frac{7 + 11}{2} \).

Step3: Calculate the value

First, add the numbers in the numerator: \( 7+11 = 18 \). Then divide by 2: \( \frac{18}{2}=9 \).

Answer:

\( 9 \)