Congruence relation

ASA congruence criterion is same as SAS congruence criterion. (True/False)

SSA is a congruence criterion

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

Prove that the relation 'Congruence modulo, m' on the set Z of all integers is an equivalence relation.

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

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.

Introduction|Congruence Of Plane Figures|Congruence Among Line Segment|Congruence Of Angle|Congruence Of Triangles|Question Practice|OMR

Congruence Of Triangles|Criteria For Congruence Triangles|OMR

Criteria For Congruence Of Triangle|Criteria For Congruence Of Triangles (Theorem)

Let Z Z be the set of all integers and let m be an arbitrary but fixed positive integer. Show that the relation "congruence modulo m" on Z Z defined by : a -= b '(mod m)' implies (a-b) is divisible by m, for all a,b in Z Z is an equivalence relation on Z Z .