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Quadrilateral

In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side". It is also called a tetragon, derived from Greek "tetra" meaning "four" and "gon" meaning "corner" or "angle", in analogy to other polygons (e.g.…

Simple quadrilaterals, Remarkable points and lines in a convex quadrilateral & Diagonals

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Simple quadrilaterals

26 related topics

Remarkable points and lines in a convex quadrilateral

10 related topics

Diagonals

9 related topics

Complex quadrilaterals

7 related topics

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Area
various methods; see below
Edges and vertices
4
Internal angle (degrees)
90° (for square and rectangle)
Schläfli symbol
{4} (for square)

Topics to explore

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Overview

Simple quadrilaterals

Complex quadrilaterals

Special line segments

Area of a convex quadrilateral

Diagonals

Angle bisectors

Bimedians

Trigonometric identities

Inequalities

Maximum and minimum properties

Remarkable points and lines in a convex quadrilateral

Other properties of convex quadrilaterals

Taxonomy

Skew quadrilaterals

Advanced semantic analysis

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Map overview Semantic statistics

Quadrilateral

Nodes114
Edges113
Triples145
Avg. degree1.98
Density0.017544
Components1

How this topic connects Entity context

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Quadrilateral

Top relations

related to Convex quadrilateral · 24
Quadrilateral → Alternative, An, Equivalent, In, Informally, Irregular, Isosceles, It, Kite, Kites, Not, Oblong, Parallelogram, Parallelograms, Rectangle, Rectangles, Rhomboid, Rhombus, Square, This
related to External links · 19
Quadrilateral → Archived, Definition, Dynamic Geometry SketchesAn, Dynamic Math Learning Homepage, EMS Press, Encyclopedia, Hierarchical Quadrilateral Tree, Interactive Classification, Mathematics, MathopenrefA, Michael, Perpendicular Bisectors, Projective Collinearity, Quadrangle, Quadrilaterals, Quadrilaterals Formed, Villiers, Wayback Machine, Wayback MachineThe
related to Other properties of convex quadrilaterals · 9
Quadrilateral → AC, BD, For, If, Let, The, This, Thus, Van Aubel's
related to Other metric relations · 8
Quadrilateral → AB, ABCD, AC, BC, CD, DA, If, In
related to Vector formulas · 8
Quadrilateral → ABCD, AC, BD, Cartesian, Euclidean, In, Let, The
is a · 7
Quadrilateral → four-sided polygon, Newton line, parallelogram.Euler also generalized Ptolemy's theorem, quadrilateral with a pair of opposite sides of equal length.A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on the perimeter of a square.A diametri…, square, square if and only if it is both a rhombus and a rectangle, tangential quadrilateral.In quadrilateral ABCD
related to Area of a convex quadrilateral · 6
Quadrilateral → AB, ABCD, BC, CD, DA, There
related to Angle bisectors · 5
Quadrilateral → ABCD, AC, BD, In, The
related to Complex quadrilaterals · 5
Quadrilateral → Antiparallelogram, Commonwealth, Crossed, In, US
related to Generalizations of the parallelogram law and Ptolemy's theorem · 5
Quadrilateral → ABCD, Euler's, In, This, Thus

Important terminology Word statistics

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Important terminology

diagonals sides area convex two angles equal opposite parallelogram angle four square cyclic vertices bimedians lengths also centroid quadrilaterals abcd

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
QuadrilateralAreavarious methods; see below1.00infobox
QuadrilateralEdges and vertices41.00infobox
QuadrilateralInternal angle (degrees)90° (for square and rectangle)1.00infobox
QuadrilateralSchläfli symbol{4} (for square)1.00infobox
Quadrilateralis afour-sided polygon0.90text
Quadrilateralis asquare if and only if it is both a rhombus and a rectangle0.90text
Quadrilateralis aquadrilateral with a pair of opposite sides of equal length.A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on the perimeter of a square.A diametri…0.90text
Quadrilateralis atangential quadrilateral.In quadrilateral ABCD0.90text
Quadrilateralis aparallelogram.Euler also generalized Ptolemy's theorem0.90text
Quadrilateralis asquare0.90text
Quadrilateralis aNewton line0.90text
cyclobutane that contain ainstance ofFormulas to compute its dihedral angles from the edge lengths and the angle between two adjacent edges were derived for work on the properties of molecules0.80text

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    Min side: 3
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