if a relation is reflexive, symmetric, or transitive

Question

А = {1, 2, 3, 4} p= {(1, 1), (2, 2), (3, 3), (4, 4), (1, 3), (3, 4)}

I know what reflexive, symmetric, or transitive are, I just want answer with these examples. I think it should be transitive?

Answer 1

It is reflexive $(a,a)$ for all $a\in A$

It is not symmetric as $(1,3)$ is in $p$ but $(3,1)$ is not.

It is not transitive. If it were then $(1,3), (3,4) \implies(1,4).$ But that is not the case.