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Lines l ∥ m are cut by parallel lines p ∥ q, forming parallelogram ABCD with diagonal AC. By which rule is △ABC ≅ △CDA?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AASA
  • BSAS
  • CSSA
  • DAAS

Step-by-Step Solution

∠BAC = ∠DCA (alternate angles, as l ∥ m), AC is common, and ∠BCA = ∠DAC (alternate angles, as p ∥ q). The common side lies between the two angle pairs: ASA.
Answer: A) ASA

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