ASA Congruence

Pronunciation: /eɪ es eɪ kən'gruəns/ Explain
Abbreviation: ASA

In Euclidean geometry two triangles are known to be congruent if two corresponding angles and the side they contain are congruent. 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.

Click on the blue points and drag them to change the figure.

When you change the figure, what stays the same and what changes. Some things to look at are the length of the lines, the size of the angles, and the orientation.
Manipulative 1 - Angle-Side-Angle Congruence of Triangles Created with GeoGebra.

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Cite this article as:

McAdams, David E. ASA Congruence. 6/15/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/a/asacongruence.html.

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Revision History

6/15/2018: Removed broken links, changed Geogebra links to work with Geogebra 5, updated license, implemented new markup. (McAdams, David E.)
12/21/2009: Added "References". (McAdams, David E.)
6/14/2008: Changed manipulative from Geometer's Sketchpad to GeoGebra. (McAdams, David E.)
6/7/2008: Corrected link errors. (McAdams, David E.)
9/24/2007: Corrected angle 'V' to become angle 'B'. (McAdams, David E.)
9/3/2007: Initial version. (McAdams, David E.)

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