Class 9 ASA and AAS Condition for Congruence

# Class 9 ASA and AAS Condition for Congruence

ASA and AAS Condition for Congruence

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• 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.

## Related content

 What is the Triangle Inequality Theorem? Triangle Inequality Theorem – Example Triangles Inequality Theorem Congruent Figures | Class 9 Maths Triangles Example, Figures Congruence of Two Triangles Correspondence between Vertices of Congruent Triangles Class 9 Condition for Congruence of Triangles – Example Class 9 Condition for Congruence of Triangles – Example SAS Condition for Congruence RHS Condition for Congruence | Class 9 Maths Triangles

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