MathsTrianglesCongruence of Two Triangles

Congruence of Two Triangles

Class 9 Congruence of Two Triangles

Table of Contents

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    • Congruence of Triangles
    • Summary
    • What’s Next?

    In the previous segment, we had a look at congruent figures. In this segment, we will see when two triangles are congruent.

    When can we say two triangles are congruent?

    Consider these two triangles △ABC and △PQR

    Class 9 Congruence of Two Triangles

    Fig 1

    We can say these triangles are congruent, when

    • length of side AB = length of side PQ
    • length of side BC = length of side QR
    • length of side AC = length of side PR
    • m∠A = m∠P
    • m∠B = m∠Q
    • m∠C = m∠R

    When all the three sides and angles of the two triangles are equal, then the triangles are

    congruent. That is, △ABC and △PQR are congruent triangles.

    △ABC ≅ △PQR

    The sign is used to denote congruence.

    Summary

    Also Read: Congruency of Triangles – How will you know that a Triangle is Congruent?

    Congruence of Triangles – Different Rules

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