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Let T be the set of all triangles in the...

Let `T` be the set of all triangles in the Euclidean plane, and let a relation `R` on `T` be defined as `a\ R\ b` if `a` is congruent to `b` for all `a ,\ b in T` . Then, `R` is (a) reflexive but not symmetric (b) transitive but not symmetric (c) equivalence (d) none of these

A

Reflexive but not transitive

B

Transitive but not symmetric

C

Symmetric but not reflexive

D

Equivalence

Text Solution

Verified by Experts

The correct Answer is:
D
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