ASA Congruence

Pronunciation: /eɪ es eɪ kən'gruəns/ ?

In Euclidean geometry two triangles are known to be congruent if two corresponding angles and the side they contain are congruent.[1] Two angles and the side are congruent if they have the same measure. This is called ASA congruence. ASA stands for angle, side, angle.

In figure 1, angles A and A' are congruent, angles B and B' are congruent and line segment AB is congruent with line segment A'B'. Click and drag the blue points in the manipulative 1 to change it.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
Manipulative 1: Congruent triangles by ASA congruence. Created with GeoGebra

Cite this article as:

ASA Congruence. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC.


Image Credits

Revision History

2009-12-21: Added "References" (McAdams, David.)
2008-06-14: Changed manipulative from Geometer's Sketchpad to GeoGebra (McAdams, David.)
2008-06-07: Corrected link errors (McAdams, David.)
2007-09-24: Corrected angle 'V' to become angle 'B' (McAdams, David.)
2007-09-03: Initial version (McAdams, David.)

All Math Words Encyclopedia is a service of Life is a Story Problem LLC.
Copyright © 2005-2011 Life is a Story Problem LLC. All rights reserved.
Creative Commons License This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License