Question

$△QRS$ is congruent to which of these triangles and what is the congruency condition being fulfilled?

• A. $△$ TPQ, ASA
• B. $△$ QTP, SAS
• C. $△$ PTQ, AAS
• D. $△$ TQP, SAS

Answer 1

The correct option is D

$△$ TQP, SAS

$△$ TQP , SAS

In triangle TQP and triangle QRS,
$\angle Q=\angle R$
QP = RS [From diagram]
PR = QS [From diagram]

$\therefore$ $△TQP\cong △QRS$ and condition is SAS.