Table of Contents

**ASA and AAS Condition for Congruence**

**Table of Contents**

- ASA (Angle-Side-Angle) Congruence Condition
- AAS (Angle-Angle-Side) Congruence Condition
- Summary
- What’s Next?

In the previous segment, we learnt about **SAS Condition **for Congruence. In this segment, we will learn what is ASA and AAS condition for congruence.

## What is the ASA (Angle-Side-Angle) congruence condition?

The ASA congruence condition states that if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent.

In △ABC and △PQR

**Fig 1**

BC = QR = 6 cm m∠ABC = m∠PQR = 40° m∠BCA = m∠QRP = 60°

Here two angles and one included side of both the triangles are equal.

Hence, △ABC and △PQR are congruent according to the ASA congruence condition.

## What is the AAS (Angle-Angle-Side) congruence condition?

When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.