Pronunciation: /ˌkwɒdrəˈlætərəl/ Explain

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Manipulative 1: Types of Quadrilaterals. Created with GeoGebra.

A quadrilateral is any four-sided polygon. Many of the figures studied in elementary plane geometry are quadrilaterals. Manipulative 1 shows different types of quadrilaterals and their names. An arrow shows that a figure inherits the properties of one type of quadrilateral and adds another property.

  • A quadrilateral is a polygon with four sides.
  • A kite is a quadrilateral where two pair of adjacent sides are equal.
  • A trapezoid is a quadrilateral with two sides that are parallel. The parallel sides are opposite each other.
  • A parallelogram is a quadrilateral where both sets of opposite sides are parallel.
  • A rectangle is a parallelogram where the sides meet at right angles.
  • A rhombus is a quadrilateral with four equal sides.
  • A square is a rectangle with equal sides.


  1. Casey, John, LL.D., F.R.S.. The First Six Books of the Elements of Euclid. pg 9. Translated by Casey, John, LL.D. F.R.S.. www.archive.org. Hodges, Figgis & Co.. 1890. Last Accessed 1/2/2010. http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/9/mode/1up/search/quadrilateral. Buy the book
  2. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pg 22. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/31/2009. http://www.archive.org/stream/elementsofconstr00noetrich#page/22/mode/1up/search/quadrilateral. Buy the book
  3. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pg 33. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 1/2/2010. http://www.archive.org/stream/mathengineer00kellrich#page/33/mode/1up/search/quadrilateral. Buy the book
  4. Convex. ams.org. Geometry Glossary. American Mathematical Society. Last Accessed 2/5/2010. http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

Cite this article as:

McAdams, David E. Quadrilateral. 8/7/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/q/quadrilateral.html.

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8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)

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