Geometry/Congruent Triangles

Methods of Determining Congruence
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 Proofs
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