Question

Question 1 of 10 Multiple Choice: Please select the best answer and click "submit." Which of the following is not true about the median of a trapezoid? A. The median connects the midpoints of the legs of a trapezoid. B. The length of the median is half the sum of the lengths of the bases. C. The median is parallel to the bases of a trapezoid. D. The median connects the midpoints of the bases of a trapezoid.

Answer 1

It's D. The median connects the midpoints of the bases of a trapezoid.

Explanation:

Answer 2

A is true as it is pretty much the definition of a median.
B is true and can be demonstrated with a trapezoid's area.
If you were to draw a median (see definition above) on a trapezoid, cut the pieces in half, and then match up one of the sides, you would get a parallelogram!
(see attached)
C is true. You can prove it in a similar fashion to the midline theorem.
D is not true, of course, because it directly contradicts A.