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Triangles

Correspondence of Vertices, Angles and Sides of Triangles

Let us consider ΔABC and ΔXYZ as shown below.

It can be seen that points A, B and C are the vertices of ΔABC, and points X, Y and Z are the vertices of ΔXYZ.

If vertex X is the pair of vertex A, then we can say that vertex X corresponds to vertex A and it is symbolised as ‘A → X’. Similarly, if vertex A corresponds to vertex X, then it is symbolised as ‘X →A’. Hence, vertices A and X correspond to each other and it is symbolised as ‘A ↔ X’, which is read as‘there is one to one correspondence between A and X’.

Similarly, the correspondences B ↔ Y and C ↔ Z can also be formed.

All of these correspondences can be represented together as ‘ABC ↔XYZ’.

In the same way,there may be other correspondences between the vertices of ΔABCand ΔXYZ. All the possible correspondences between ΔABCand ΔXYZ are listed below.

...

Correspondence between vertices

Correspondence written together

(1)A ↔ X, B ↔ Y, C ↔ Z

ABC↔ XYZ

(2)A ↔ X, B ↔ Z, C ↔ Y

ABC↔ XZY

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