Question

which of the following is true about the median of a trapezoid? a. the length of the median is half the difference of the lengths of the bases. b. the median connects the endpoints of the bases of a trapezoid. c. the median connects the midpoints of the bases of a trapezoid. d. the length of the median is half the sum of the lengths of the bases.

Explanation:

The median of a trapezoid is defined as the line - segment that connects the mid - points of the non - parallel sides (bases) of a trapezoid. Its length is given by the formula $m=\frac{a + b}{2}$, where $a$ and $b$ are the lengths of the bases. So, the length of the median is half the sum of the lengths of the bases.

Answer:

D. The length of the median is half the sum of the lengths of the bases.