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trapezoid

File:Trapezoid.svg · Wikimedia Commons · See Wikimedia Commons

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Also known as trapezium

In geometry, a trapezoid () in North American English, or trapezium () in British English, is a quadrilateral that has at least one pair of parallel sides.

AI overview

A trapezoid is a four-sided shape with at least one pair of sides that run parallel to each other. It's a fundamental shape in geometry that appears in various practical applications, from architecture to engineering design.

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

Key facts

Polygon.name
Trapezoid Trapezium
Polygon.image
Trapezoid.svg
Polygon.caption
Trapezoid or trapezium
Polygon.type
quadrilateral
Polygon.edges
4
Polygon.area
\tfrac12(a + b) h
Polygon.properties
convex

via Wikipedia infobox

Wikidata facts

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Trapezoid special cases.svg
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Commons category
Trapezoids
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via Wikidata · CC0

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Article

18 sections
Contents
  • Definitions
  • Etymology
  • Special cases
  • Condition of existence
  • Characterizations
  • Properties
  • Midsegment and height
  • Area
  • Diagonals
  • Other properties
  • Applications
  • Non-Euclidean geometry
  • Related topics
  • See also
  • Notes
  • Bibliography
  • Further reading
  • External links

In geometry, a trapezoid () in North American English, or trapezium () in British English, is a quadrilateral that has at least one pair of parallel sides.

The parallel sides are called the bases of the trapezoid. The other two sides are called the legs or lateral sides. If the trapezoid is a parallelogram, then the choice of bases and legs is arbitrary.

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