Question

$△PSQ\&KLR$ are given where $PS=KL\&PQ=KR$, which of the following angles must be equal to make the triangles congruent by SAS condition ?

• A. $\angle P=\angle K$
• B. $\angle P=\angle L$
• C. $\angle S=\angle L$
• D. $\angle Q=\angle R$

Answer 1

The correct option is A $\angle P=\angle K$

For SAS condition, two sides of $△PSQ$ and included angle (angle between the two sides) must be equal to the corresponding sides and included angle of $△KLR$.

Given that $PS=KL\&PQ=KR$
and the angles between these two sides are $\angle P\&\angle K$ .
So $\angle P=\angle K$ Option $\left(a\right)$ correct.