Question

By which property are $\Delta QST$ and $\Delta QUT$ congruent to each other?

• A. $AAS$
• B. $SSS$
• C. $RHS$
• D. $SAS$

Answer 1

The correct option is A

$AAS$

In $\Delta QST$ and $\Delta QUT$
$\angle SQT$ = $\angle TQU$ [given]
$\angle QST$ = $\angle QUT$ [given]
$QT=QT$ [common]
$\therefore \Delta QST$ and $\Delta QUT$ are congruent by $AAS$ congriency rule.