Adv. Geometry Unit 5 Proofs

SSS

If 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent

SAS

If 2 sides and the included angle of 1 triangle are congruent to 2 sides and the included angle of another triangle, then the triangles are congruent

ASA

If 2 angles and the included side of 1 triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

AAS

If 2 angles and a nonincluded side of 1 triangle are congruent to 2 angles and a nonincluded side of another, then the triangles are congruent

HL

If hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent

CPCTC

If 2 triangles are congruent, then all of the corresponding parts are congruent

Isoceles Triangle Theorem

If 2 sides of a triangle are congruent, then the angles opposite the sides are also congruent

Converse of I.T.T.

If 2 angles of a triangle are congruent, then the sides opposite the angles are also congruent