Angle N = 40 degrees, side NP = 8, angle Q = 40 degrees, and side QS = 8. What additional information would you need to prove that ΔNOP ≅ ΔQRS by ASA?

Angle O is congruent to angle R.
Angle P is congruent to angle S.
Side NO is congruent to side QR.
Side OP is congruent to side RS.

Question

Angle N = 40 degrees, side NP = 8, angle Q = 40 degrees, and side QS = 8. What additional information would you need to prove that ΔNOP ≅ ΔQRS by ASA?

Angle O is congruent to angle R.
 Angle P is congruent to angle S.
 Side NO is congruent to side QR.
 Side OP is congruent to side RS.

dude · Answer

It's best to draw this out (Please mind the quality of my drawing)

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They gave us an angle and a side

ASA = Angle Side Angle

As the name states, we have 1 angle and 1 side followed by another angle. We are missing an angle. This leaves us with either A or B. ASA also indicates the order, so you should have an angle before and after the side