What are the required conditions for congruent Triangles?
-
Conditions for 2 triangles to be congruent :
1)SSS axiom (if all corresponding sides are equal)
2)SAS axiom (if two corresponding sides and the included angle are equal)
3)AAS or ASA axiom (if two corres. angles and a side are equal)
4)RHS ( if in a right angled triangle,the hypotenuse and a side are equal)
If the above cond. are satisfied, the other angles and sides are automatically equal and the 2 triangles are said to be congruent.
Hope this helps:)
1)SSS axiom (if all corresponding sides are equal)
2)SAS axiom (if two corresponding sides and the included angle are equal)
3)AAS or ASA axiom (if two corres. angles and a side are equal)
4)RHS ( if in a right angled triangle,the hypotenuse and a side are equal)
If the above cond. are satisfied, the other angles and sides are automatically equal and the 2 triangles are said to be congruent.
Hope this helps:)
-
All the sides and angles must be congruent.