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ExamsSSC CGL (Prelims)General

Two triangles, \(\triangle ABC\) and \(\triangle DEF\), have \(AB = DE\), \(\angle ABC = \angle DEF\), and \(BC = EF\). By which rule are they congruent?

  1. SSS
  2. ASA
  3. SAS
  4. RHS

Correct answer: SAS

Solution

The triangles have two corresponding sides equal and the included angle between them equal. This matches the Side-Angle-Side (SAS) congruence criterion. Therefore, the triangles are congruent by SAS.

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