Reflexive: all pairs are connected to themselves

Irreflexive: none of the pairs are connected to themselves

A relation can be Reflexive, Irreflexive, or neither (it’s not a this or that situation).
Same goes for Symmetric and Antisymmetric relations

Transitive: If you can go from a to b, and from b to c, then you should be able to go directly from a to c.

Partial Ordering: Transitive, Reflexive, and Antisymmetric

Ex: less than or equal to