 # Triangle Congruence by ASA and AAS

Related Topics:
More Lessons for Grade 9 Math
Math Worksheets

Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn triangle congruence by angle-side-angle (ASA) and angle-angle-side (AAS).

ASA and AAS
If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent. ASA and AAS are important when solving proofs.
How to use the ASA and AAS shortcuts to determine the congruence of two triangles.
Triangle Congruence - SSS, SAS, ASA and AAS
Triangle Congruence by Angle-Angle-Side and Angle-Side-Angle
Angle Side Angle Postulate
It two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Angle Angle Side Theorem
It two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.
This video shows you how to create a proof to show that two triangles which have two matching angles and one matching include side, are congruent.

Prove Triangle Congruence with ASA and AAS Postulate
Angle Side Angle Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Triangle congruency AAS ASA

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  