Section Five
Postulate
Angle-Side-Angle(ASA): If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Theorem
Angle-Angle-Side(AAS): if two angles and a non-included side of one triangle are congruent to the corresponding angles and the non-included side of another triangle, then the triangles are congruent.
Hypotenuse Leg(HL): If the hypotenuse and leg of a right are congruent to the hypotenuse and leg of another right triangle then the triangles are congruent.
Angle-Side-Angle(ASA): If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Theorem
Angle-Angle-Side(AAS): if two angles and a non-included side of one triangle are congruent to the corresponding angles and the non-included side of another triangle, then the triangles are congruent.
Hypotenuse Leg(HL): If the hypotenuse and leg of a right are congruent to the hypotenuse and leg of another right triangle then the triangles are congruent.