### Reflexive Property

According to this property, if (p, p) ∈ R, for every p ∈ N

For example, consider a relation R = {(P, Q): OP = OQ}. Now (P, P) ∈ R since OP = OP for any point P. So, the relation is a reflexive relation.

### Symmetric Property

According to this property if (p, q) ∈ R, then (q, p) ∈ R should also hold true.

Let's consider the same relation R. Again this relation is symmetric as if (P, Q) ∈ R ⇒ (Q, P) ∈ R

### Transitive Property

According to this property, if (p, q), (q, r) ∈ R, then (p, r) ∈ R.

For example, this relation R is transitive as if (P, Q) ∈ R, (Q, S) ∈ R ⇒ (P, S) ∈ R

Since OP = OQ, OQ = OS ⇒ OP = OS for all P, Q, S.