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In △ABC, AB = AC. Points D on AB and E on AC are chosen so that AD = AE. By which rule is △ABE ≅ △ACD?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • ASSS
  • BAAS
  • CASA
  • DSAS

Step-by-Step Solution

AB = AC, ∠A is common, AE = AD. ∠A lies between AB and AE (and between AC and AD), so SAS. Hence BE = CD.
Answer: D) SAS

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