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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
Error message | View complete answer on https://www.cliffsnotes.com
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.
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