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### Congruence postulates/axioms

Two triangles are said to be congruent when all their corresponding sides and corresponding angles are equal in measure. The congruence of two triangles, having only some angles' and sides' measures of both, can be proved by the following congruence postulates:

SSS : Side - Side - Side
 SSS axiom of Congruence
When all three sides of two triangles are equal, they are said to be congruent
SAS : Side - Angle - Side
 SAS axiom of Congruence
When two sides, and one included angle of two triangles are equal in measure, they are said to be congruent

ASA : Angle - Side - Angle
 ASA axiom of Congruence
When two angles, and one included side of two triangles are equal in measure, they are said to be congruent.

AAS : Angle - Angle - Side
 AAS axiom of Congruence
When two angles and one side (not included) of two triangles are equal in measure, they are said to be congruent.

HL or Hyp-S : Hypotenuse leg
 HL or Hyp-S axiom of Congruence
When the hypotenuse (longest side of a right angled triangle) and one other side of two right triangles are equal, they are said to be congruent.