Question

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

• A. A.A.S.
• B. S.S.S.
• C. R.H.S.
• D. S.A.S.

Answer 1

The correct option is A

A.A.S.

In $\Delta QST$ and $\Delta QUT$,
$\angle SQT$ = $\angle TQU$ [given]
$\angle QST$ = $\angle QUT$ [given]
QT = QT [common]
$\therefore \Delta QST\&\Delta QUT$ are congruent to each other by A.A.S. congruence criteria.
[A.A.S. congruence criteria: Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.]