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In triangle ABC, D is the midpoint of BC. AD is drawn. It is given AB = AC.
Using triangles ABD and ACD, which criterion proves them congruent?

Class 9Criteria for CongruenceGeometry — Triangles
  • ASSS (AB=AC, BD=DC, AD=AD)
  • BASA
  • CRHS
  • DOnly AAA

Step-by-Step Solution

AB = AC (given), BD = DC (D is midpoint), AD = AD (common). All three sides equal gives SSS.
Answer: A) SSS (AB=AC, BD=DC, AD=AD)

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