What is ASA Congruence Rule?
According to the ASA Congruence Rule, if two angles and the included side of one triangle are equal in measure to two angles and the included side of another triangle, then the two triangles are congruent.
To apply the ASA Congruence Rule, you must have the following conditions met:
- Two angles in one triangle are congruent (equal in measure) to two angles in another triangle.
- The side that is between the two angles in one triangle is congruent to the side between the corresponding angles in the other triangle.
ASA Congruence Rule Definition
The Angle-Side-Angle (ASA) Congruence Rule is a criterion in geometry that determines the congruence of two triangles. According to this rule, if two angles and the included side of one triangle are exactly equal to two angles and the included side of another triangle, then the two triangles are congruent
ASA Congruence Rule | Definition, Proof & Examples
ASA Congruence Rule: ASA stands for Angle-Side-Angle. It is one of the congruence tests used to test the congruence of two triangles. Other than ASA there are 4 more congruence rules i.e., SSS, SAS, AAS, and RHS.
Condition of Congruency of Two Triangles: Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
In this article, we will learn about the ASA Congruence Rule including its proof, applications, and examples related to it.
Table of Content
- What is Congruence?
- What is ASA Congruence Rule?
- Criteria for ASA Congruence Rule
- Proof of ASA Congruence Rule
- ASA and AAS Congruence Rule
- ASA Congruence Rule Class 9
- ASA Congruence Rule Solved Examples
- ASA Congruence Rule: Practice Problems