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.
thanq
ReplyDelete