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In triangle ABC and triangle DEF, AB = DE = 4 cm, BC = EF = 6 cm and CA = FD = 6 cm.
How many of the three standard 'matching' angle pairs (A=D, B=E, C=F) are guaranteed equal?

Class 9Criteria for CongruenceGeometry — Triangles
  • A4
  • B3
  • C2
  • D6

Step-by-Step Solution

All three sides equal => SSS congruence => all three corresponding angles equal by CPCT, i.e. 3 pairs.
Answer: B) 3

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