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In △ABC and △DEF, AB = DE, ∠A = ∠D and AC = DF, as marked. If BC = 9 cm, how long is EF?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • A18 cm
  • B4.5 cm
  • CCannot be found
  • D9 cm

Step-by-Step Solution

∠A lies between AB and AC, and ∠D between DE and DF, so △ABC ≅ △DEF by SAS. By CPCT, EF = BC = 9 cm.
Answer: D) 9 cm

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