# 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 ?
For this lesson, I set the challenge that students could only use quadrilateral shapes; squares, rectangles, rhombuses, parallelograms, trapezoids and kites to create a two-dimensional holiday nutcracker.
They can fill the parallelogram and change its base and height to see how this changes the area.
8-magnitude star to PCC 65907 on the northeast corner of the parallelogram.
It is possible--perhaps inevitable--that we might understand thick black rectangles as redacted words, a path of rectangles and parallelograms as the rough suggestion of a flow chart or diagram, or white spaces and thick diagonal stripes as holes or banners where text might reside.
This activity consisted of three stages: Stage 1--folding, cutting, and re-assembling a triangular piece of paper into a parallelogram (see Figures 9 and 10); Stage 2--performing similar moves in the dynamic mathematics software which exposed an error in one of the solutions (see Figures 11 and 12); Stage 3--didactic reasoning and proof to justify solutions presented in Stages 1 and 2 (see Figures 13 and 14).
Partial filling or non-filling of parallelogram was due to venous thrombosis, inflammatory conditions such as panophthalmitis or tumor causing extraneous pressure such as CA ethmoid, Frontoethmoidal tumor, Lacrimal gland tumor and ivory osteoma of Frontal bone in our series of cases, like that of studies performed by (1-4).
pij] (j = i) is the partial self-inductance of the ith parallelogram.
In this paper we demonstrate a bijection--which we believe is more natural-- between binary trees and parallelogram polyominoes.
Moreover, they will have additional mental tools to re-construct the method of computing area of parallelogram should they fail to recall the one-step 'formula' of "base x height".
Originally, the table is a rectangle which is then sequentially transformed into a square, a parallelogram, an octagon, an oval, and then finally a circle.
In 2009, Zhang and Yuan [6] determined the smallest regularized parallelogram (whose length of the smaller diagonal is not less than 1) cover for the family [DELTA]; this result implies the result in [5].
The optical frame range includes three styles with the new parallelogram parts of the new flex mechanism (ZT11766-68), and four models featuring the slit designed profile (ZT11769-72).

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