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In triangle ABC, AB = AC. The perpendiculars BE and CF are drawn to sides AC and AB respectively.
To prove BE = CF using triangles ABE and ACF, the criterion is (angle A common, right angles equal, AB=AC):

Class 9Criteria for CongruenceGeometry — Triangles
  • AAAS
  • BSSS
  • CSAS
  • DRHS

Step-by-Step Solution

angle A is common, angle AEB = angle AFC = 90°, and AB = AC (non-included side). Two angles + a side => AAS.
Answer: A) AAS

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