Congruent
Pronunciation: /kənˈgru.ənt/ Explain
Click on the blue points and drag them to change the figure.
Are two triangles still congruent if one is rotated relative to the other?
| Manipulative 1 - Congruent Triangles Created with GeoGebra. |
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Two geometric figures are congruent if they are the same
shape and size, but may be flipped,
moved, and/or rotated.[2] If object
a is congruent with object b, we write
a ≅ b and
say, "a is congruent with b."
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Properties of Congruent Figures
Manipulative | Description |
| Two line segments
are congruent if they have the same measure. |
| Two angles
are congruent if the measures of the angles are equal. |
| Two shapes are congruent if each point on the shape corresponds with a point
on the corresponding shape. |
| The distance between two points on a figure and two corresponding points on a
congruent figure is the same. |
References
- McAdams, David E.. All Math Words Dictionary, congruent. 2nd Classroom edition 20150108-4799968. pg 42. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Stöcker, K.H.. The Elements of Constructive Geometry, Inductively Presented. pg 21. Translated by Noetling, William A.M, C.E.. www.archive.org. Silver, Burdett & Company. 1897. Last Accessed 6/25/2018. http://www.archive.org/stream/elementsofconstr00noetrich#page/21/mode/1up/search/congruent. Buy the book
- Williams, Cora Lenore. Syllabus of Plane Geometry. pp 13-14. www.archive.org. Standard Press. 1905. Last Accessed 6/25/2018. http://www.archive.org/stream/syllabusofplaneg00willrich#page/13/mode/1up/search/congruent. Buy the book
Cite this article as:
McAdams, David E. Congruent. 4/16/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/congruent.html.
Image Credits
Revision History
4/16/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
1/19/2010: Rewrote article. (
McAdams, David E.)
12/2/2008: Updated definition. (
McAdams, David E.)
3/25/2008: Changed More Information to match current standard. (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)