Question

Which of the following is true about the median of a trapezoid?

A. The median is half the length of the largest base.
B. The median connects the midpoints of the legs of a trapezoid.
C. The median connects the midpoints of the bases of a trapezoid.
D. The median is twice the length of the smallest base.

Answer 1

The correct option is B. The median connects the midpoints of the legs of a trapezoid.

Explanation:

In a trapezoid two opposite sides are parallel to each other and they are known as base sides. Other two sides are known as legs of trapezoid.

Median is of a trapezoid is a line segment joining the midpoints of legs. The median is parallel to the base sides and the length of median is average of length of base sides.

`\text{Length of median}=\frac{\text{Length of base 1}+\text{Length of base 2}}{2}`

Therefore correct option is B. The median connects the midpoints of the legs of a trapezoid.

Answer 2

The only choice that describes truthfully the median is choice letter B. This states that the median connects the midpoints of the legs of a trapezoid. The legs are most commonly referred as the nonparallel sides as the other two sides are parallel.