Trapezoid

Trapezoid (American English)
Trapezium (British English)
Trapezoid or trapezium
Typequadrilateral
Edges and vertices4
Area
Propertiesconvex

In geometry, a trapezoid (/ˈtræpəzɔɪd/) in North American English, or trapezium (/trəˈpziəm/) in British English,[1][2] is a quadrilateral that has at least one pair of parallel sides.

The parallel sides are called the bases of the trapezoid.[3] The other two sides are called the legs[3] or lateral sides. (If the trapezoid is a parallelogram, then the choice of bases and legs is arbitrary.)

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.

  1. ^ "Trapezoid – math word definition – Math Open Reference". www.mathopenref.com. Retrieved 2024-05-15.
  2. ^ Gardiner, Anthony D.; Bradley, Christopher J. (2005). Plane Euclidean Geometry: Theory and Problems. United Kingdom Mathematics Trust. p. 34. ISBN 9780953682362.
  3. ^ a b Hopkins 1891, p. 33.

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