quadrilateral

Also known as tetragon, 4-gon, cuadrilátero, quadrangle, quadrangular

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. pentagon). Since "gon" means "angle", it is analogously called a quadrangle, or 4-angle. A quadrilateral with vertices A, B, C and D is sometimes denoted as \square ABCD.

AI overview

A quadrilateral is a four-sided polygon with four edges and four corners (vertices). It matters because it is a fundamental shape in geometry, with the term derived from Latin and Greek words meaning "four sides" and "four angles," making it a basic building block for understanding more complex geometric forms.

AI-generated from the Wikipedia summary — may contain errors.

Key facts

Polygon.name: Quadrilateral
Polygon.image: Six Quadrilaterals.svg
Polygon.caption: Some types of quadrilaterals
Polygon.edges: 4
Polygon.schläfli: {4} (for square)
Polygon.area: various methods;see below
Polygon.angle: 90° (for square and rectangle)

via Wikipedia infobox

Wikidata facts

Image: Tetragon measures.svg

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Commons category: Tetragons

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~29 min read

Article

29 sections

Contents

Simple quadrilaterals
Convex quadrilateral
Concave quadrilaterals
Complex quadrilaterals
Special line segments
Area of a convex quadrilateral
Trigonometric formulas
Non-trigonometric formulas
Vector formulas
Diagonals
Properties of the diagonals in quadrilaterals
Lengths of the diagonals
Generalizations of the parallelogram law and Ptolemy's theorem
Other metric relations
Angle bisectors
Bimedians
Trigonometric identities
Inequalities
Area
Diagonals and bimedians
Sides
Maximum and minimum properties
Remarkable points and lines in a convex quadrilateral
Other properties of convex quadrilaterals
Taxonomy
Skew quadrilaterals
See also
References
External links

{{Infobox Polygon | name = Quadrilateral | image = Six Quadrilaterals.svg | caption = Some types of quadrilaterals | edges = 4 | schläfli = {4} (for square) | area = various methods;see below | angle = 90° (for square and rectangle)}} 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. pentagon). Since "gon" means "angle", it is analogously called a quadrangle, or 4-angle. A quadrilateral with vertices A, B, C and D is sometimes denoted as \square ABCD.

Quadrilaterals are either simple (not self-intersecting), or complex (self-intersecting, or crossed). Simple quadrilaterals are either convex or concave.