Quadrilateral

Pronunciation: /ˌkwɒ.drəˈlæt.ər.əl/ Explain

Click on the blue points in the figure and drag them to change the figure. 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. 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. McAdams, David E.. All Math Words Dictionary, quadrilateral. 2nd Classroom edition 20150108-4799968. pg 148. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. 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 12/4/2018. http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/9/mode/1up/search/quadrilateral. Buy the book
3. 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 12/4/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/22/mode/1up/search/quadrilateral. Buy the book
4. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pg 33. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 12/4/2018. http://www.archive.org/stream/mathengineer00kellrich#page/33/mode/1up/search/quadrilateral. Buy the book
5. Convex. ams.org. Geometry Glossary. American Mathematical Society. Last Accessed 12/4/2018. http://www.ams.org/featurecolumn/archive/geometry-glossary.html.

Cite this article as:

McAdams, David E. Quadrilateral. 3/28/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/q/quadrilateral.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/3/2018: Removed broken links, updated license, implemented new markup, updated geogebra app. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
8/3/2018: Initial version. (McAdams, David E.)