Rationalised 2023-24
RELATIONS AND FUNCTIONS
3
Definition 4 A relation R in a set A is said to be an equivalence relation if R is
reflexive, symmetric and transitive Example 2 Let T be the set of all triangles in a plane with R a relation in T given by
R = {(T1, T2) : T1 is congruent to T2} Show that R is an equivalence relation Solution R is reflexive, since every triangle is congruent to itself