quadrilateral
Sign in to saveIn 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
Article
29 sectionsContents
- 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.