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Trapezoid
Convex quadrilateral with at least one pair of parallel sides / From Wikipedia, the free encyclopedia
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In geometry, a trapezoid (/ˈtræpəzɔɪd/) in North American English, or trapezium (/trəˈpiːziəm/) in British English,[1][2] is a quadrilateral that has one pair of parallel sides.
Trapezoid (AmE) Trapezium (BrE) | |
---|---|
![]() Trapezoid or trapezium | |
Type | quadrilateral |
Edges and vertices | 4 |
Area | |
Properties | convex |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/9/99/Wiktionary-logo-en-v2.svg/40px-Wiktionary-logo-en-v2.svg.png)
The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a parallelogram, and there are two pairs of bases. A scalene trapezoid is a trapezoid with no sides of equal measure,[3] in contrast with the special cases below.
A trapezoid is usually considered to be a convex quadrilateral in Euclidean geometry, but there are also crossed cases. If ABCD is a convex trapezoid, then ABDC is a crossed trapezoid. The metric formulas in this article apply in convex trapezoids.