Relation is transitive or not?

Question

Let, R be a relation on Natural numbers. R = {(1,2),(2,1),(3,4)}

This relation is

• not reflexive, as (1,1) is not present in R
• not symmetric, as (3,4) is present, but (4,3) is not present in R

Is R transitive or not?

Can we conclude that (1,2) and (2,1) are present in R, but (1,1) is not present in R, so, R is not transitive?

Is the relation R transitive or not?

Answer 1

It's trivially not, as you say, $(1,2)$ and $(2,1)$ in $R$ but $(1,1)$ not.