What property does an identity relation has?

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Reflective is obvious, but what about the other properties?

It's weird when we check the symmetric property of the identity relation. The symmetric property happens when (in a matrix representation) the upper triangle and the lower triangle that exists in a matrix that's divided by the matrix's diagonal get mirrored. Also, you can make a graph representation of the relation and see that it's just loops. So is it symmetric or not? (also, check out if it's antisymmetric or not because I think the matrix representation shows that it's antisymmetric)