Parallelogram

Pronunciation: /ˌpær əˈlɛl əˌgræm/ ?
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Manipulative 1: Parallelogram. Created with GeoGebra.

A parallelogram is a four sided polygon whose opposite sides are parallel.[1][2] Click on the blue points in manipulative 1 and drag them to change the figure. No matter where you drag them, the figure is a parallelogram.

Properties of Parallelograms

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Manipulative 2: Parallelogram. Created with GeoGebra.

Click on the blue points in manipulative 2 and drag them to change the figure. Click on the checkboxes to see the respective properties demonstrated.

  • The opposite angles of a parallelogram are congruent.
  • The opposite sides of a parallelogram are congruent and parallel.
  • The diagonals bisect each other.
  • Each diagonal bisects the parallelogram into two congruent triangles.
  • The sums of the angles of a parallelogram is 360° or radians.
  • A tesselation of a plane can be created using any parallelogram.
  • The area of a parallelogram is A = bh where A is the area, b is the base and h is the height.

References

  1. Hilbert, David. The Foundations of Geometry, pp 28,33-35. Townsend, E. J., Ph. D.. The Open Court Publishing Company, 1950. (Accessed: 2009-12-21). http://www.gutenberg.org/files/17384/17384-pdf.pdf.
  2. Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented, pp 23, 32-33. Translated by Noetling, William A.M, C.E.. Silver, Burdett & Company, 1897. (Accessed: 2009-12-30). http://www.archive.org/stream/elementsofconstr00noetrich#page/23/mode/1up/search/parallelogram.
  3. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry, pp 44, 34-36, 72-73. D. Van Nostrand Company, 1908. (Accessed: 2010-01-02). http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/44/mode/1up/search/parallelogram.
  4. parallelogram. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=parallelogram&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

Cite this article as:


Parallelogram. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/parallelogram.html.

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Revision History


2009-12-21: Added "References" (McAdams, David.)
2008-10-24: Initial version (McAdams, David.)

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