Final answer:
To prove ΔNOP ≅ ΔQRS by ASA, you need two angles and the included side to be congruent. Therefore, in addition to the given angles, congruence of Side OP to Side RS (4) is required, as they are the sides included between the given congruent angles.
Step-by-step explanation:
To prove that ΔNOP ≅ ΔQRS by the Angle-Side-Angle (ASA) Postulate, you need two angles and one side to be congruent. The ASA Postulate states that two triangles are congruent if two angles and the included side of one triangle are congruent to two angles and the included side of the other triangle.
In this case, you have been provided with two angles that are congruent: Angle O is congruent to Angle R (1), and Angle P is congruent to Angle S (2). To use the ASA Postulate, you need the side that is included between these two angles to be congruent as well. Therefore, the additional information required is that Side OP is congruent to Side RS (4), which completes the two pairs of congruent angles with the included congruent side.
It's important to note that if you only had information item (3), Side NO is congruent to Side QR, without the congruence of side OP to RS, you would not be able to prove congruence by ASA, as side NO and QR are not the sides included between angles O and P, and angles R and S respectively.