Question

which of the following is true about the median of a. the median is half the length of the largest base. b. the median connects the midpoints of the bases of a trapezoid. c. the median connects the midpoints of the legs of a trapezoid. d. the median is twice the length of the smallest base.

Explanation:

Step1: Recall trapezoid median definition

The median of a trapezoid is a line - segment that connects the mid - points of the non - parallel sides (legs) of the trapezoid.

Step2: Analyze each option

Option A: The median of a trapezoid is not half the length of the largest base. The formula for the length of the median of a trapezoid with bases \(a\) and \(b\) is \(m=\frac{a + b}{2}\), where \(m\) is the median length. Option B: This is the correct definition of the median of a trapezoid. Option C: The median is not twice the length of the smallest base. Option D: Also incorrect based on the formula \(m=\frac{a + b}{2}\).

Answer:

B. The median connects the midpoints of the legs of a trapezoid.