Trapezoid

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Trapezoid (AmE)
Trapezium (BrE)
Trapezoid.svg
Trapezoid
Type quadrilateral
Edges an vertices 4
Aurie
Properties convex

In Euclidean geometry, a convex quadrilateral wi at least ane pair o parallel sides is referred tae as a trapezoid in American Inglis an as a trapezium in Inglis ootside North Americae. The parallel sides are cried the bases o the trapezoid an the ither twa sides are cried the legs or the lateral sides (if thay are nae parallel; itherwise thare are twa pairs o bases). A scalene trapezoid is a trapezoid wi na sides o equal measure, in contrast tae some special cases. A trapezoid wi vertices ABCD is denoted Trapezoid small icon.png ABCD.

Thare is some disagreement whether parallelograms, which hae twa pairs o parallel sides, should be coontit as trapezoids. Some define a trapezoid as a quadrilateral havin exactly ane pair o parallel sides (the exclusive defineetion), tharebi excludin parallelograms.[1] Ithers[2] define a trapezoid as a quadrilateral wi at least ane pair o parallel sides (the inclusive defineetion[3]), makin the parallelogram a special type o trapezoid. The latter defineetion is consistent wi its uises in heicher mathematics such as calculus. The umwhile defineetion would mak such concepts as the trapezoidal approximation tae a definite integral ill-defined. This airticle uises the inclusive defineetion an considers parallelograms as special cases o a trapezoid. This is an aa advocated in the taxonomy o quadrilaterals.

References[eedit | eedit soorce]

  1. "American School definition from "math.com"". Retrieved 2008-04-14. 
  2. Weisstein, Eric W., "Trapezoid", MathWorld.
  3. Trapezoids, [1], accessed 2012-02-24.