right trapezoid

A right trapezoidMathworldPlanetmath is a trapezoidMathworldPlanetmath that has at least two right anglesMathworldPlanetmathPlanetmath. Below is a picture of a right trapezoid.

In some dialects of English (e.g. (http://planetmath.org/Eg) British English), this figure is referred to as a right trapezium. Because of the modifier “right”, no confusion should arise with this usage.

All rectanglesMathworldPlanetmath are right trapezoids (unless the definition of trapezoid is used, see the entry on trapezoid (http://planetmath.org/Trapezoid) for more details). Note also that, in Euclidean geometryMathworldPlanetmath, a trapezoid cannot have an odd numberMathworldPlanetmathPlanetmath of right angles.

A is a trapezoid that is simultaneously a right trapezoid and an isosceles trapezoidMathworldPlanetmath. In Euclidean geometry, such trapezoids are automatically rectangles. In hyperbolic geometry, such trapezoids are automatically Saccheri quadrilaterals. Thus, the phrase “right isosceles trapezoid” occurs rarely.

Right trapezoids are used in the trapezoidal ruleMathworldPlanetmath and composite trapezoidal rule for estimating Riemann integrals.

Title right trapezoid
Canonical name RightTrapezoid
Date of creation 2013-03-22 17:11:55
Last modified on 2013-03-22 17:11:55
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 10
Author Wkbj79 (1863)
Entry type Definition
Classification msc 51-00
Synonym right trapezium
Related topic LambertQuadrilateral
Related topic SaccheriQuadrilateral