**Definition :** A relation R is symmetric if, for a and b in G, aRb and bRa but a does not equal b.

An example is R defined as . but .

**See also :** Equivalence Relation, Transitive Property, Reflexive Property

**Definition :** A relation R is symmetric if, for a and b in G, aRb and bRa but a does not equal b.

An example is R defined as . but .

**See also :** Equivalence Relation, Transitive Property, Reflexive Property

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