MathsTrianglesCorrespondence between Vertices of Congruent Triangles

Correspondence between Vertices of Congruent Triangles

Table of Contents

  • Correspondence between Vertices of Congruent Triangles
  • Summary
  • What’s Next?

In the previous segment, we had a look at congruent triangles. In this segment, we will see correspondences between vertices of congruent triangles.

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    What is the Correspondence between Vertices of Congruent Triangles?

    Two figures are congruent if one when placed on the other, overlaps exactly.

    Fig 1

    Consider △ABC and △PQR such that they are congruent.

    Here, Vertex A ↔ Vertex P Vertex B ↔ Vertex Q Vertex C ↔ Vertex R

    The corresponding sides and angles of △PQR and △ABC are:

    Corresponding Sides

    Corresponding Angles

    Side AB ≅ Side PQ

    ∠BAC ≅ ∠QPR

    Side BC ≅ Side QR

    ∠ABC ≅ ∠PQR

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