Is Identity Relation Symmetric?

Is Identity Relation Symmetric? The identity relation consists of ordered pairs of the form (a,a), where a∈A. In other words, aRb if and only if a=b. It is reflexive (hence not irreflexive), symmetric, antisymmetric, and transitive. Are identity relations equivalence? Thus Identity relation is always an Equivalence Relation. Is identity relation a transitive? Transitivity is