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Parallelogram

In Euclidean geometry, a parallelogram is a chiral simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean…

Characters, Characterizations & Parallelograms arising from other figures

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Key facts & relationships

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Area
bh (base × height); ab sin θ (product of adjacent sides and sine of the vertex angle determined by them)
Edges and vertices
4
Properties
Convex polygon
Symmetry group
C2, +,
Type
Quadrilateral, Trapezium

Topics to explore

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Overview

Special cases

Characterizations

Other properties

Area formula

Lattice of parallelograms

Parallelograms arising from other figures

Advanced semantic analysis

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Map overview Semantic statistics

Parallelogram

Nodes58
Edges57
Triples65
Avg. degree1.97
Density0.034483
Components1

How this topic connects Entity context

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Parallelogram

Top relations

related to External links · 10
Parallelogram → Animated, Area, Circumference, Construction, Eric, Interactive Parallelogram, MathWorld, Rhombus, Triangles On Sides, Weisstein
related to Characterizations · 9
Parallelogram → Adjacent, Each, It, One, The, There, This, Two, Viviani's
related to Automedian triangle · 5
Parallelogram → ABC, AL, An, BGCL, If ABC
related to Other properties · 5
Parallelogram → Any, If, Opposite, The, Unlike
related to Special cases · 5
Parallelogram → Rectangle, Rhomboid, Rhombus, Square, This
is a · 4
Parallelogram → chiral simple, parallelepiped.The word, rhombus, same as that of a rectangle with the same base and height
related to Lattice of parallelograms · 4
Parallelogram → Bravais, If, Parallelograms, These
related to Tangent parallelogram of an ellipse · 4
Parallelogram → All, Each, For, It
related to Varignon parallelogram · 4
Parallelogram → If, Proof, Varignon, Varignon's
related to Area formula · 3
Parallelogram → All, Further, This

Important terminology Word statistics

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Important terminology

sides area parallel quadrilateral two equal angles diagonals opposite triangles one rectangle four length parallelograms adjacent triangle right diagonal displaystyle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
ParallelogramAreabh (base × height); ab sin θ (product of adjacent sides and sine of the vertex angle determined by them)1.00infobox
ParallelogramEdges and vertices41.00infobox
ParallelogramPropertiesConvex polygon1.00infobox
ParallelogramSymmetry groupC2, +,1.00infobox
ParallelogramTypeQuadrilateral, Trapezium1.00infobox
Parallelogramis achiral simple0.90text
Parallelogramis aparallelepiped.The word0.90text
Parallelogramis asame as that of a rectangle with the same base and height0.90text
Parallelogramis arhombus0.90text
Parallelogramrelated to Area formulaAll0.60section
Parallelogramrelated to Area formulaFurther0.60section
Parallelogramrelated to Area formulaThis0.60section

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    Min side: 3
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