Symmetric Relation

A relation R on a set ‘A’ is said to be symmetric if xRy then yRx ∀x,y∈A if (x,y)∈R⇒(y,x)∈R ∀x,y∈A

Example #

R: “Perpendicular to” Set A: set of all lines If L₁⟂L₂⇒L₂⟂L₁ ∴R is a symmetric relation on the set of all lines (A).