Quadrilateral

Pronunciation: /ˌkwɒdrəˈlætərəl/ ?

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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.

References

  1. quadrilateral. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=quadrilateral&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. Casey, John, LL.D., F.R.S.. The First Six Books of the Elements of Euclid, pg 9. Casey, John, LL.D. F.R.S.. Hodges, Figgis & Co., 1890. (Accessed: 2010-01-02). http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/9/mode/1up/search/quadrilateral.
  3. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pg 22. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-30). http://www.archive.org/stream/elementsofconstr00noetrich#page/22/mode/1up/search/quadrilateral.
  4. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry, pg 33. D. Van Nostrand Company, 1908. (Accessed: 2010-01-02). http://www.archive.org/stream/mathengineer00kellrich#page/33/mode/1up/search/quadrilateral.
  5. Convex. ams.org. Geometry Glossary. American Mathematical Society. (Accessed: 2010-02-05). http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

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Quadrilateral. 2010-01-02. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/q/quadrilateral.html.

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