Last modified on 5 December 2012, at 23:10

Geometry/Congruent Triangles

Methods of Determining CongruenceEdit

Two triangles are congruent if:

  • each pair of corresponding sides is congruent
  • two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent
  • two pairs of corresponding sides and the angles included between them are congruent

Tips for ProofsEdit

Commonly used prerequisite knowledge in determining the congruence of two triangles includes:

  • by the reflexive property, a segment is congruent to itself
  • vertical angles are congruent
  • when parallel lines are cut by a transversal corresponding angles are congruent
  • when parallel lines are cut by a transversal alternate interior angles are congruent
  • midpoints and bisectors divide segments and angles into two congruent parts

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