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Using the marked equal parts, by which rule is △ABC ≅ △PQR?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • ASSS
  • BAAS
  • CSAS
  • DASA

Step-by-Step Solution

AB = PQ, ∠B = ∠Q and BC = QR. The angle is between the two sides, so the rule is SAS.
Answer: C) SAS

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Here ∠A = ∠P, ∠B = ∠Q and BC = QR. Name the congruence rule.In △ABC and △DEF, AB = DE, ∠A = ∠D and AC = DF, as marked. If BC = 9 cm, how long is EF?Why does AAA (three equal angles) not prove two triangles congruent?Why is SSA (two sides and a non-included angle) not a congruence rule?You know ∠A = ∠D and ∠B = ∠E. Which side equality gives congruence by ASA (not AAS)?