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Proving Triangles Congruent Geometry Ch 04 A BowerPoint Presentation SSS (Side-Side-Side) If AB XY & BC Then ABC YZ & AC XYZ XZ SSS (Side-Side-Side) If AB XY & BC Then ABC YZ & AC XYZ XZ SSS (Side-Side-Side) If AB XY & BC Then ABC YZ & AC XYZ XZ SSS (Side-Side-Side) If AB XY & BC Then ABC YZ & AC XYZ XZ SSS (Side-Side-Side) If AB XY & BC Then ABC YZ & AC XYZ XZ SAS (Side-Angle-Side) If AB XY & Then A ABC X & AC XYZ XZ SAS (Side-Angle-Side) If AB XY & Then A ABC X & AC XYZ XZ SAS (Side-Angle-Side) If AB XY & Then A ABC X & AC XYZ XZ SAS (Side-Angle-Side) If AB XY & Then A ABC X & AC XYZ XZ SAS (Side-Angle-Side) The angles must be included between the two pairs of sides ASA (Angle-Side-Angle) If A X & AB Then ABC XY & B XYZ Y ASA (Angle-Side-Angle) If A X & AB Then ABC XY & B XYZ Y ASA (Angle-Side-Angle) If A X & AB Then ABC XY & B XYZ Y ASA (Angle-Side-Angle) If A X & AB Then ABC XY & B XYZ Y ASA (Angle-Side-Angle) The sides must be included between the two pairs of angles AAS (Angle-Angle-Side) If A X& Then B Y & AC ABC XYZ XZ AAS (Angle-Angle-Side) If A X& Then B Y & AC ABC XYZ XZ AAS (Angle-Angle-Side) If A X& Then B Y & AC ABC XYZ XZ AAS (Angle-Angle-Side) If A X& Then B Y & AC ABC XYZ XZ AAS (Angle-Angle-Side) The sides are not included between the two pairs of angles Proving Triangles Congruent • SSS – Side-Side-Side • SAS – Side-Angle-Side • ASA – Angle-Side-Angle • AAS – Angle-Angle-Side
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