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In △ABC and △PQR, ∠A = ∠P and ∠B = ∠Q. Which extra condition does NOT prove the triangles congruent?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AAB = PQ
  • B∠C = ∠R
  • CAC = PR
  • DBC = QR

Step-by-Step Solution

∠C = ∠R follows anyway from the angle sum, so it adds no side information — that is just AAA. Any one pair of corresponding sides would give ASA or AAS.
Answer: B) ∠C = ∠R

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