Question

In the given figure, $△RTQ\cong △PSQ$ by ASA congruency condition. Which of the following pairs does not satisfy the condition?

• A. $PQ=QR$
• B. $\angle P=\angle R$
• C. $\angle TQP=\angle SQR$
• D. None of these

Answer 1

The correct option is D None of these

In $△$s $RTQ$ and $PSQ$
$QR=PQ$ (Given)
$\angle P=\angle R$ (Given)
$\angle TQR(\angle SQR+\angle SQT)=\angle PQS(\angle TQP+\angle SQT)$
$\therefore$ $△RTQ\cong △PSQ$ (ASA)