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 ?
In this paper we demonstrate a bijection--which we believe is more natural-- between binary trees and parallelogram polyominoes.
In this section, we present the smallest regularized trapezoid cover for the family [DELTA]; this new result implies the result in [6] about the smallest regularized parallelogram cover for the family [DELTA].
Position loop was connected to control position of parallelogram [y.
The geometric properties of the parallelogram to be determined are the vertex angles and the lengths of the sides.
Then we have Glorious Gatwick's million-pound handicap, for which the grey - to be ridden by New Zealand's Maori wonder-girl jockey Sabrina Parallelogram - is being aimed; the stable has plunged, failure could mean enforced sale to a disgraced politician from Sumatra.
Now consider another position of the parallelogram as shown by the solid lines in Figure 1b.
A parallelogram whose sides are all equal is called a rhomb (or rhombus).
When viewed from above, the head looks like a parallelogram shape instead of a normal symmetric oval shape.
In such problems, the teacher can offer the students a series of formulas that they have already learned or conversely a series of objects for which formulas must be derived (say, a square, a rectangle, a parallelogram, etc.
The weighing plate carrier system is held by a double flexure blade parallelogram to make sure that side loads do not reach the load cell.
In a task on the second day (not shown), they were asked to investigate the question: "When do the diagonals of a parallelogram right bisect one another?
The D5G also offers increased blade capacity, a parallelogram ripper, and a hydrostatic winch.