Q.

Which of the following is not a criterion for congruence of triangles?


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a

SSA

b

SAS

c

ASA

d

SSS 

answer is A.

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Detailed Solution

Consider the mentioned criteria for congruence of triangles.
SAS criterion:
If 2   pairs of corresponding sides of 2   triangles are equal in length, and the corresponding included angles are equal in measurement, then the triangles are congruent.
ASA criterion:
If 2   pairs of corresponding angles of 2   triangles are equal in measurement, and the corresponding sides are equal in length, then the triangles are congruent.
SSS criterion:
If 3   pairs of corresponding sides of 2   triangles are equal in length, then the triangles are congruent.
Now, SSA criterion:
The SSA condition (side-side-angle) which specifies 2   sides and a non-included angle does not by itself prove congruence.
Hence option 1) is correct.
 
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