# trapezoid

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Related to trapezoid: Trapezoid rule

## trapezoid,

closed plane figure bounded by four line segments, or sides, two of which are parallel and two of which are nonparallel. The parallel sides of a trapezoid are called bases and the nonparallel sides legs; in an isosceles trapezoid the legs are of equal length. The median of a trapezoid is the line segment connecting the midpoints of the legs; it is parallel to the bases and equal to half the sum of their lengths. The altitude of a trapezoid is the perpendicular distance between the bases. The area of a trapezoid is equal to half the product of the altitude and the sum of the bases, i.e., to the product of the altitude and the median.

## Trapezoid

A four-sided figure with unequal sides; a parallel trapezoid has two unequal parallel sides and two equal nonparallel sides; a symmetrical trapezoid has two pairs of adjacent equal sides.

## Trapezoid

a convex quadrilateral having two parallel and two nonparallel sides (see Figure 1). The parallel sides are called the bases of the trapezoid, and the nonparallel sides are sometimes referred to as the trapezoid’s legs. The line segment joining the midpoints of the nonparallel sides is called the median, or midline. The median is parallel to the bases, and its length is equal to half the sum of their lengths. The area of a trapezoid is equal to the product of the trapezoid’s altitude and the length of its median. The area is also equal to half the product of the lengths of the diagonals and the sine of the angle between them. In an isosceles trapezoid, the nonparallel sides are of equal length. Figure 1

## trapezoid

[′trap·ə‚zȯid]
(mathematics)
A quadrilateral having two parallel sides.

## trapezoid

1. a quadrilateral having neither pair of sides parallel
2. US and Canadian a quadrilateral having two parallel sides of unequal length
3. a small bone of the wrist near the base of the index finger
References in periodicals archive ?
Our final stop is Collinder 463, a large cluster boxed in by the trapezoid fashioned by 40, 42, 48, and 50 Cassiopeiae, stars visible to the unaided eye from my home.
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3 Cut remaining trapezoids in half widthwise (Diagram III-A).
Posteromedial triangular projection of T1 into T2 weak; S2 horseshoe-shaped, apically narrowed; S3 vertically trapezoid; S4 irregularly trapezoid; S5 trapezoid, apical margin arched, 2 times longer than wide; S3 to S5 gradually enlarged.
The algorithm of tetrachoric connection indicator calculation was changed: the number of alternative character possible combinations was replaced by the values of 2-minute cartographic trapezoid areas, as the trapezoid area is an extremely volatile value.
Adjustable triangular trapezoid or night sights would be a welcome option on future models.
The textbook instructs them to derive and prove the formulas for parallelogram, triangle and trapezoid using their transformations into one or more rectangles.
4 A (n, k) left Gog trapezoid (for k [less than or equal to] n) is an array of positive integers X = [(Xi,j).
The trapezoid is the least commonly fractured carpal bone, with Sadowski and Montilla (2008) reporting trapezoid fractures to account for 0.
Four different heights are offered, all with a 6” square solid top and 7” square open bottom to create a trapezoid shaped display pedestal.

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