quadrilateral
/,kwɔdri'lætərəl/
Definition
Adjective:
- Having four sides: Describes any shape or object that possesses exactly four straight sides.
Noun:
- A four-sided polygon: A closed geometric figure with four straight sides and four angles. The sum of its interior angles is always 360 degrees.
Usage Examples
Adjective:
- The courtyard was a quadrilateral space, enclosed by buildings on all four sides.
- We need a quadrilateral piece of land for the new project.
Noun:
- A square, rectangle, rhombus, and trapezoid are all types of quadrilaterals.
- The children were asked to draw a quadrilateral on their paper.
Advanced Usage
In mathematics: The term is fundamental in geometry. Quadrilaterals are classified based on side lengths, angles, and parallel sides.
- The properties of a cyclic quadrilateral (one where all vertices lie on a single circle) are studied in advanced geometry.
In formal or technical descriptions: Used to describe structures or areas.
- The fortress was built in a roughly quadrilateral shape.
Variants and Related Words
- Quadrangle (n): Often used interchangeably with "quadrilateral" as a noun, especially for a four-sided courtyard or a geometric figure.
- Tetragon (n): A less common synonym for a four-sided polygon.
Synonyms
- Four-sided (adj): Having four sides.
- Quadrangle (n): A four-sided figure, especially a rectangular courtyard.
Antonyms
- Triangle (n): A three-sided polygon.
- Pentagon (n): A five-sided polygon.
Related Phrases
- Cyclic quadrilateral: A quadrilateral whose vertices all lie on a single circle.
- Convex quadrilateral: A quadrilateral where all interior angles are less than 180° and no sides are "pushed in".
- Irregular quadrilateral: A quadrilateral with sides of unequal lengths and/or angles of unequal measure.
Adjective
- having four sides
Noun
- a four-sided polygon
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