Question

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Choose the combination(s) that fail(s) as criteria for congruency of triangles where A denotes Angle and S denotes Side.

• A. ASA
• B. SAS
• C. ASS
• D. SAA

Answer 1

The correct option is C ASS

We know that the triangles that pass the criteria ASA and SAS are definitely congruent.

Consider the criteria SSA.



Here, length of side PR and PQ and the angle $\angle PQR$ are fixed.

We can observe that PR can touch the base at two points $R$ and $R^{/}.$

Hence two different triangles will be obtained with the given SSA.
$\therefore$ This is not a criterion for congruency.

For SAA, two angles are given.
It is same as AAS as two angles and non-included side should be equal to the corresponding angles and the side of another triangle.

$\therefore$ The only wrong option is ASS.