Two triangles are considered congruent if the lengths of their sides are the same and the measures of their angles are also the same. There are several theorems that are used to prove if two triangles are congruent, they are below:

Side-Side-Side Congruency Theorem

Side-Angle-Side Congruency Theorem

Angle-Side-Angle Congruency Theorem

Angle-Angle-Side Congruency Theorem

Hypotenuse-Leg Congruency Theorem

Corresponding Parts of Congruent Triangles are Congruent

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