Rectangle

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Explore the main themes, entities and connections around Rectangle. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Properties

Cyclic Corners Circle Equiangular Degrees

17 related topics

Classification

Sides Perpendicular Trapezoid Parallel Equal

13 related topics

Characterizations

If and only if Diagonals Triangles Congruent Bisect

5 related topics

Crossed rectangles

Bow tie Butterfly Three-dimensional Wire Frame

7 related topics

Key facts & relationships

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

Dual polygon: rhombus
Edges and vertices: 4
Properties: convex, isogonal, cyclic Opposite angles and sides are congruent
Schläfli symbol: { } × { }
Symmetry group: Dihedral (D2), , (*22), order 4
Type: quadrilateral, trapezium, parallelogram, orthotope

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Euclidean plane geometry Euclidean geometry
Rectilinear Rectilinear polygon
Convex polygon
Quadrilateral
Right angles Right angle
Parallelogram
Square
Vertices Vertex (geometry)
Latin
Angle
Tiling Rectangle
Antiparallelogram
Spherical Spherical geometry
Elliptic Elliptic geometry
Hyperbolic Hyperbolic geometry
Polygons Polygon

Characterizations

If and only if
Diagonals Diagonal
Triangles Triangle
Congruent Congruence (geometry)
Bisect Bisection

Classification

Sides Edge (geometry)
Perpendicular
Trapezoid
Parallel Parallel (geometry)
Equal Equality (mathematics)
Length
Simple Simple polygon
Star-shaped Star-shaped polygon
Axes of symmetry Reflection symmetry
Axis Axis of symmetry
Symmetry
Isosceles trapezia
Vertex arrangement

Properties

Cyclic Cyclic polygon
Corners Corner angle
Circle
Equiangular Equiangular polygon
Degrees Degree (angle)
Vertex-transitive
Symmetry orbit
Lines Line (geometry)
Reflectional symmetry
Rotational symmetry
Dual polygon
Rhombus
Degrees of freedom Degrees of freedom (mechanics)
Translation Translation (geometry)
Rotation
Aspect ratio
Incomparable Comparability

Formulae

Area
Perimeter
Square Square (geometry)

Theorems

Isoperimetric theorem
Diagonals
Japanese theorem for cyclic quadrilaterals
British flag theorem
Inscribe Inscribed figure
Homothetic Homothetic transformation

Crossed rectangles

Other rectangles

Great circle

Tessellations

Squared, perfect, and other tiled rectangles

Similar Similarity (geometry)
Right triangles Right triangle
Perfect tilling a square Squaring the square
Commensurable Commensurability (mathematics)
Polyominoes Polyomino
Polyaboloes Polyabolo

Unicode

Unicode

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Nodes89

Edges88

Triples48

Avg. degree1.98

Density0.022472

Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Rectangle

Top relations

is a · 10

Rectangle → crossed, crossed quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals, figure in the elliptic plane whose four edges are elliptic arcs which meet at equal angles greater than 90, figure in the hyperbolic plane whose four edges are hyperbolic arcs which meet at equal angles less than 90, figure whose four edges are great circle arcs which meet at equal angles greater than 90, rectilinear convex polygon or a quadrilateral with four right angles, rectilinear polygon, rhombus, special case of a parallelogram in which each pair of adjacent sides is perpendicular.A parallelogram is a special case of a trapezium, square

related to Alternative hierarchy · 5

Rectangle → De Villiers, Each, Quadrilaterals, These, This

related to External links · 5

Rectangle → Area, Definition, Eric, MathWorld, Weisstein

related to Other rectangles · 5

Rectangle → Euclidean, In, Opposite, Spherical, The

related to Characterizations · 3

Rectangle → ABCD, ABD, DCA

related to Squared, perfect, and other tiled rectangles · 3

Rectangle → If, In, The

related to Crossed rectangles · 2

Rectangle → It, Similarly

related to Unicode · 2

Rectangle → The, Unicode

Dual polygon · 1

Rectangle → rhombus

Edges and vertices · 1

Rectangle → 4

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

sides equal quadrilateral angles opposite crossed two right length rectangles symmetry convex area diagonals parallelogram four plane triangles geometry polygon

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Rectangle	Dual polygon	rhombus	1.00	infobox
Rectangle	Edges and vertices	4	1.00	infobox
Rectangle	Properties	convex, isogonal, cyclic Opposite angles and sides are congruent	1.00	infobox
Rectangle	Schläfli symbol	{ } × { }	1.00	infobox
Rectangle	Symmetry group	Dihedral (D2), , (*22), order 4	1.00	infobox
Rectangle	Type	quadrilateral, trapezium, parallelogram, orthotope	1.00	infobox
Rectangle	is a	rectilinear convex polygon or a quadrilateral with four right angles	0.90	text
Rectangle	is a	crossed	0.90	text
Rectangle	is a	special case of a parallelogram in which each pair of adjacent sides is perpendicular.A parallelogram is a special case of a trapezium	0.90	text
Rectangle	is a	rhombus	0.90	text
Rectangle	is a	rectilinear polygon	0.90	text
Rectangle	is a	square	0.90	text
Rectangle	is a	crossed quadrilateral which consists of two opposite sides of a rectangle along with the two diagonals	0.90	text
Rectangle	is a	figure whose four edges are great circle arcs which meet at equal angles greater than 90	0.90	text
Rectangle	is a	figure in the elliptic plane whose four edges are elliptic arcs which meet at equal angles greater than 90	0.90	text
Rectangle	is a	figure in the hyperbolic plane whose four edges are hyperbolic arcs which meet at equal angles less than 90	0.90	text

Related concept clusters Concept neighborhoods

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Connections between topic areas Semantic bridges

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Min side: 3