Corresponding Parts

Corresponding parts are the sides and angles of two triangles that are in the same relative position. If two triangles are congruent, their corresponding parts are equal.

Two angles are congruent if they have the same measure.

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

The areas of the triangles can be different, but their corresponding sides and angles are equal.