Define relations $R_1,$dots,$R_6$ on $\{1,2,3,4\}$ by

$R_1=\{(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)\}$

$R_2=\{(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)\}$

$R_3=\{(2,4),(4,2)\}$

$R_4=\{(1,2),(2,3),(3,4)\}$

$R_5=\{(1,1),(2,2),(3,3),(4,4)\}$

$R_6=\{(1,3),(1,4),(2,3),(2,4),(3,1),(3,4)\}$

Which of the following statements are correct?

Check ALL correct answers below.

A$.R_5$ is not reflexive

B$.R_5$ is transitive

C$.R_4$ is symmetric

D$.R_2$ is not transitive

E$.R_1$ is reflexive

F$.R_3$ is transitive

G$.R_3$ is reflexive

H$.R_4$ is transitive

I. $R_3$ is symmetric

J$.R_2$ is reflexive

K$.R_4$ is antisymmetric

L$.R_6$ is symmetric

M$.R_1$ is not symmetric