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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.

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sqdancefan

Answer:

  (b)  Angle P is congruent to angle S

Step-by-step explanation:

Given congruent corresponding angles and their adjacent sides in two triangles, you want to know the additional information required to show congruence by ASA.

ASA

The abbreviation ASA refers to corresponding angles and the side between them. The sides QS and NP are between angles Q and S, and angles N and P, respectively. We are given that angles Q and N are congruent, so we need to know that angles P and S are congruent.