Questions: Which of the following is true about the median of a trapezoid? A. The median connects the midpoints of the bases of a trapezoid. B. The median is twice the length of the smallest base. C. The median connects the midpoints of the legs of a trapezoid. D. The median is half the length of the largest base.

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

Transcript text: Which of the following is true about the median of a trapezoid? A. The median connects the midpoints of the bases of a trapezoid. B. The median is twice the length of the smallest base. C. The median connects the midpoints of the legs of a trapezoid. D. The median is half the length of the largest base.

Solution

Solution Steps

To determine which statement is true about the median of a trapezoid, we need to understand the properties of a trapezoid's median. The median of a trapezoid is a line segment that connects the midpoints of the non-parallel sides (legs) and is parallel to the bases. It is also equal in length to the average of the lengths of the two bases.

Step 1: Understanding the Median of a Trapezoid

The median of a trapezoid is defined as the line segment that connects the midpoints of the non-parallel sides (legs) of the trapezoid. It is also parallel to the bases and its length is the average of the lengths of the two bases.

Step 2: Evaluating the Statements

We need to evaluate the given statements about the median of a trapezoid: