MathsCongurencyTrianglesSAS Condition for Congruence

SAS Condition for Congruence

Table of Contents

  • 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.

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    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.

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