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In △ABC, AB = AC and AD bisects ∠A, meeting BC at D. By which rule is △ABD ≅ △ACD?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AAAS
  • BRHS
  • CASA
  • DSAS

Step-by-Step Solution

AB = AC, ∠BAD = ∠CAD (bisector) and AD is common. The angle is between AB and AD, so SAS.
Answer: D) SAS

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