[haimanti roy]

Congruence of glued points:

Proof: A must be glued to A since it is itself.(reflexive)

If A is glued to B, then B is glued to A(symmetric)

If A is glued to B, and B is glued to C, then A must be glued to C.(transitive)

Thus the statement is proved faciliment. 🙂

 

 

 

 

 

[haimanti roy]

Congruence of number lines:

Proof: Since we know that A is congruent to B, then B is congruent to A. (symmetric)

Since A is congruent to B, and B is congruent to C, then A is congruent to                                  C(transitive)

And A must be congruent to itself, being on the number line.(reflexive)

Thus the statement is proved 🙂

[haimanti roy]

Sir, this one is for the (ii)

To Prove:Congruence in an equivalence

Proof: Suppose we have an point A,A' and A'' in three triangles.

Since the triangles are congruent, the three points must be in the same place, making       congruence reflexive, transitive and symmetric.

 

 

 

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