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If the sides AB, BC and CA of triangle ABC correspond to the sides DE, EF and FD of triangle DEF, then the two triangles are congruent if:

  • AB = DE, BC = EF and CA = FD (SSS)
  • AB = DE, BC = EF and angle ABC = angle DEF (SAS)
  • AB = DE, angle ABC = angle DEF, angle BCA = angle EFD (ASA)

If the triangles are right angled at A and D so that BC and EF are hypotenuses, then the triangles are congruent if

  • BC = EF and AB = DE (RHS)
  • BC = EF and angle ABC = angle DEF (RHA).


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Q: What are congruence theorems and postulates?
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