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MODULE 7: TRIANGLE CONGRUENCY







             SSS: (Side-Side-Side)              SAS: (Side-Angle-Side)             ASA: (Angle-Side-Angle)


        If the sides of one triangle        If two sides and the included  If two angles and the
        are congruent to the sides of  angle in one triangle are                included side in one triangle

        another triangle, then the          congruent to two sides and          are congruent to two angles
        two triangles are congruent.        the included angle in another  and the included side in

                                            triangle, then the two              another triangle, then the

                                            triangles are congruent.            two triangles are congruent.







                   ABC   DEF
                                                       ABC   DEF                        ABC   DEF


                    AAS: (Angle-Angle-Side)                                HyL: (Hypotenuse-Leg)

        If two angles and a nonincluded side of one           If the hypotenuse and a leg of one right

        triangle are congruent to the corresponding           triangle are congruent to the hypotenuse
        angles and nonincluded side of another                and corresponding leg of another right

        triangle, then the two triangles are                  triangle, then the two triangles are
        congruent.                                            congruent.









                            ABC   DEF                                          ABC   DEF
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