# how to find median of a trapezoid

The median of a trapezoid is equal to the average of the two bases. This is found by adding each base together and then dividing the sum by 2. ## What is the median in trapezoid math?

Recall that the median of a trapezoid is a segment that joins the midpoints of the nonparallel sides. Theorem 55: The median of any trapezoid has two properties: (1) It is parallel to both bases. (2) Its length equals half the sum of the base lengths.

## What is the median trapezoid of ABCD?

Figure 15.1 The trapezoid ABCD. When the midpoints of the two legs of a trapezoid are joined together, the resulting segment is called the median of the trapezoid. In Figure 15.2, R and S are the midpoints of ¯AB and ¯CD, and ¯RS is the median of trapezoid ABCD.

## What is the median of a trapezoid?

A median of a trapezoid is the segment that joins the midpoints of the nonparallel sides (legs). Theorem: The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.

## Is ABCD a trapezoid?

The slopes of exactly one pair of opposite sides are equal, so they are parallel. Therefore, quadrilateral ABCD is a trapezoid.

## What kind of trapezoid is trapezoid ABCD?

If M is the midpoint of BC and N is the midpoint of CD, then the line MN is parallel to AB and CD. A trapezoid ABCD with parallel sides AB and CD is called an isosceles trapezoid if it is a strict trapezoid with BC = DA. Notice that if ABCD is a parallelogram, it is a (non-strict) trapezoid with BC = DA.

## What are the names of the bases of trapezoid ABCD?

In trapezoid ABCD, ¯BC ¯AD. The parallel sides ¯BC and ¯AD are called the bases, and the nonparallel sides ¯AB and ¯CD are legs. Base angles are a pair of angles that share a common base.

## What is the median of trapezoid?

Recall that the median of a trapezoid is a segment that joins the midpoints of the nonparallel sides. Theorem 55: The median of any trapezoid has two properties: (1) It is parallel to both bases. (2) Its length equals half the sum of the base lengths.

## What is the median trapezoid of ABCD?

Figure 15.1 The trapezoid ABCD. When the midpoints of the two legs of a trapezoid are joined together, the resulting segment is called the median of the trapezoid. In Figure 15.2, R and S are the midpoints of ¯AB and ¯CD, and ¯RS is the median of trapezoid ABCD.