Question

Which of the following reasons are incorrect for a triangle to be congruent to another triangle.

i) ASA (Angle - side - agle)

ii) SSA (Side - side - angle)

iii) AAA (Angle - angle - angle)

iv) AA (Angle - Angle)

v) SAS (Side - angle - side)

vi) SSS (Side - side - side)

1. only i, ii and iii 
2. only ii and iii 
3. only iv and vi 
4. only ii, iii and iv 

Answer 1

Correct Answer - Option 4 : only ii, iii and iv 

Concept: Congruency criteria:

ASA (Angle - side - agle)

SSA (Side - side - angle)

AAA (Angle - angle - angle)

AA (Angle - Angle)

SAS (Side - angle - side)

SSS (Side - side - side)

Only ASA, SSS, SAS, AAS, and RHS congruency rules are true for any two triangles to be congruent.

∴ Option 4 is correct as it does not have any of the above-given rules for congruency of any two triangles.