Parallelogram

Pronunciation: /ˌpær əˈlɛl əˌgræm/ Explain
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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 tessellation 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. Translated by Townsend, E. J., Ph. D.. The Open Court Publishing Company. 1950. Last Accessed 12/21/2009. 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.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 12/31/2009. http://www.archive.org/stream/elementsofconstr00noetrich#page/23/mode/1up/search/parallelogram. Buy the book
  3. Keller, Samuel Smith. Mathematics for Engineering Students, Plane and Solid Geometry. pp 44, 34-36, 72-73. www.archive.org. D. Van Nostrand Company. 1908. Last Accessed 1/2/2010. http://www.archive.org/stream/firstsixbooksofe00caseuoft#page/44/mode/1up/search/parallelogram. Buy the book

Cite this article as:

McAdams, David E. Parallelogram. 8/28/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/parallelogram.html.

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Revision History

8/28/2018: Corrected spelling. (McAdams, David E.)
8/7/2018: Changed vocabulary links to WORDLINK format. (McAdams, David E.)
12/21/2009: Added "References". (McAdams, David E.)
10/24/2008: Initial version. (McAdams, David E.)

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