# parallelogram

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Related to parallelogram: rhombus, trapezoid, Parallelogram law

## parallelogram,

closed plane figure bounded by four line segments, or sides, with opposite pairs of sides parallel and equal in length. The rhombus, rectangle, and square are special types of parallelograms. Any side of a parallelogram is a base; an altitude is the perpendicular distance from a base to the opposite parallel side. The area of a parallelogram is equal to the product of the lengths of its base and altitude. The diagonals of a parallelogram, connecting opposite vertices, bisect one another; either diagonal divides the parallelogram into two congruent triangles.

## Parallelogram

A quadrilateral having both pairs of the opposite sides parallel to each other.

## Parallelogram

a quadrangle whose opposite sides are parallel (see Figure 1). A parallelogram can also be defined as a convex quadrangle that satisfies any of the following conditions: (1) both pairs of opposite sides consist of equal line segments; (2) one pair of opposite sides consists of equal and parallel segments; Figure 1

(3) each pair of opposite vertices has equal angles; or (4) the diagonals’ point of intersection bisects each diagonal. Figure 1 illustrates different types of parallelograms, including the rectangle (Figure 1,b), a parallelogram whose angles are right angles; the rhombus (Figure l,c), an equilateral parallelogram; and a square (Figure 1,d), an equilateral rectangle.

## parallelogram

[‚par·ə′lel·ə‚gram]
(mathematics)
A four-sided polygon with each pair of opposite sides parallel.

## parallelogram

a quadrilateral whose opposite sides are parallel and equal in length
References in periodicals archive ?
The city researched in-ground fixed post racks; in-ground, fixed rear post, moveable front post, axle-engaging racks; above-ground, four post, drive-on racks; pit systems; portable wheel jacks; bumper jacks; and parallelogram lifts.
Students are able to identify basic geometric shapes and forms including squares, triangles, circles, rectangles, parallelograms, cubes, prisms and spheres.
Component 2 is a virtual geoboard where students can draw, and then manipulate, their own parallelogram. They can fill the parallelogram and change its base and height to see how this changes the area.
A 3'-long line from the globular passes through a 13.8-magnitude star to PCC 65907 on the northeast corner of the parallelogram. The galaxy forms a roughly 30"-wide equilateral triangle with the 13.8-magnitude star and a 12.9-magnitude star.
The surfaces of these four large parallelograms, designed to reflect the light and shadows cast by the gallery's skylights and windows, changed according to the fluctuations of the natural daylight that streamed in.
If U, V are arbitrary free finite points then SFIP can transform a universal parallelogram into a trapezium (by swapping the points [V.sub.[infinity]] and V; see Figure 4.2) or into a quadrilateral (by swapping the points [U.sub.[infinity]] and U; see Figure 4.3).
We recall that a parallelogram polyomino is a polyomino whose boundary can be decomposed in two paths, the upper and the lower paths, which are made of north and east unit step and meet only at their starting and final points.
One of the first considerations that surfaced in our team discussions was that an alternative approach to teaching "area of parallelogram" should address connections between this idea with other concepts (especially those learnt previously) in mathematics.
In figure 4 is presented the unwanted case of parallelogram arrangement welding points.
John Tams and Barry Coope, from Derbyshire, played the marquee on Saturday night, followed by jazz and folk fusion group Parallelogram.
[H.sup.3] sliced the parallelogram floor plate on a north-south axis that doubles as an exhibition space.
The blaze at Parallelogram on Cowpen Lane Industrial Estate, Billingham, happened at around 6pm.

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