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. 

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."

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 201501084799968. 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 1314. 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.)