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?

Question

anonymous · Answer

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

ddcamp · Answer

To uses ASA, you need two angles to be congruent (so c and d are out) and the congruent side is between the two congruent angles. Which angle is on the other side of NP/QS?
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anonymous · Answer

A?

ddcamp · Answer

No, B

For ASA to work, the congruent side (in this case NP & QS) must be between the congruent angles. Since we already know that N&Q are congruent, we need to know that P&S are also congruent.

anonymous · Answer

Oh Okay!  Thanks for explaining it to me, I understand.