Question

Which congruence criteria can be used to state that $△$XOY $\cong$ $△$POQ?

• A. ASA
• B. SAS
• C. SSS
• D. RHS

Answer 1

The correct option is A ASA

In $△XOY$ and $△POQ$

$\Rightarrow$ $\angle YXO=\angle QPO={65}^o$ [Given]

$\Rightarrow$ $OX=OP$ [Given]

$\Rightarrow$ $\angle XOY=\angle POQ$ [Vertically opposite angles]

$\therefore$ $△XOY\cong △POQ$ [By ASA criteria]