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.

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

Step-by-step 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.

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

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.