Class 7 SAS (Side – Angle – Side) Congruence Condition

# Class 7 SAS (Side – Angle – Side) Congruence Condition

Class 7 SAS (Side – Angle – Side) Congruence Condition

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• SAS (Side-Angle-Side) Congruence Condition
• Verification of SSA (Side-Side-Angle) Condition
• Summary
• What’s Next?

In the previous segment, we saw an example of SSS condition for congruence. In this segment of the chapter of ‘Congruence of Triangles’, we will learn some more conditions of congruence.

## SAS (Side – Angle – Side) Congruence Condition

This condition says that 2 triangles are congruent if 2 sides and the included angle of one triangle are respectively equal to the 2 sides and the included angle of the other triangle.

For example,

In △ABC and △PQR

Given: AB = PQ = 4 cm

BC = QR = 5 cm

m∠ABC = m∠PQR = 40° Fig 1

Here, ∠ABC and ∠PQR are the included angles which are equal.

Also, the corresponding sides of both the triangles are equal.

Hence, △ABC ≅ △PQR by SAS congruence condition.

## Related content

 Class 7 Maths Congruent Figures and Triangles Congruence of Two Triangles | Class 7 Maths Congurency Class 7 Condition for Congruence of Triangles – Example Class 7 SSS Congruence Condition – Example of Maths Congurency Class 7 ASA and AAS Condition for Congruence RHS Condition for Congruence | Class 7 Maths Congurency  +91

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