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- In a trapezoid, base angles can never be supplementary; otherwise, the legs would also be parallel, forming a parallelogram.
-diagonals of a trapezoid cannot bisect each other
-Like triangles, a trapezoid also has altitudes and medians. Unlike triangles, altitudes and medians of a trapezoid are not required to contain a vertex as an endpoint. An altitude of a trapezoid is any segment from one base of the trapezoid to the other base that is perpendicular to the bases.
-A median of a trapezoid is a segment between the midpoints of its legs.
-The median of a trapezoid is parallel to its bases
-Since a median of a trapezoid is parallel to its bases, one may say that the median runs right through the middle of the trapezoid. Not only does the median run through the middle of the trapezoid, the length of the median is the average of the two base lengths.
-The length of the median of a trapezoid is half the sum of the lengths of its bases
-A trapezoid is isosceles if and only if its base angles are congruent
-A trapezoid is isosceles if and only if its diagonals are congruent
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