Given $\Delta \text{OAP}\cong \Delta \text{OBP}$  in figure, Identify the criteria for the triangles being congruent.

Given : $\Delta \text{OAP}$ And $\Delta \text{OBP}$

$\text{OA}=\text{OB}$  (given)

$\angle \text{AOP}=\angle \text{BOP}$ (given )

$OP=OP$(common side )

$\therefore ∆OAP\cong ∆OBP$ ..(by SAS congruent rule as two corresponding sides and the included angles of the triangles are equal.)