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In triangle ABC, the bisector AD of angle A meets BC at D and it is given AB = AC.
In triangles ABD and ACD, AB=AC, angle BAD = angle CAD, AD common. By which criterion are they congruent?

Class 9Criteria for CongruenceGeometry — Triangles
  • ASAS
  • BSSS
  • CASA
  • DRHS

Step-by-Step Solution

AB = AC, included angle BAD = angle CAD (bisector), AD = AD (common). Two sides + included angle = SAS.
Answer: A) SAS

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