Prove that the relation congruence modulo m on the set `Z` of all integers is an equivalence relation.

The relation 'congruence modulo m is :

Let 'm' be a given positive integer. Prove that the relation, Congruence modulo m' on the set Z of all integers defined by : a equiv b(mod m) hArr (a-b) is divisible by m is an equivalence relation.

Show that the relation ‘is congruent to’ on the set of all triangles in a plane is an equivalence relation

Show that the relation is congruent to on the set of all triangles in a plane is an equivalence relation

Show that the relation is congruent to on the set T of all triangles in a plane is an equivalence relation.

Define an equivalence relation. Show that the relation similarity on the set of all triangles in a plene is an equivalence relation.

What is an equivalence relation? Show that the relation of'similarity' on the set S of all triangle in a plane is an equivalence relation.

What is an equivalence relation? Show that the relation of'similarity' on the set S of all triangle in a plane is an equivalence relation.

The relation ‘is parallel to’, on the set A of all coplanar straight lines is an equivalence relation.