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PLANE GEOMETRY HONORS Proving Triangles congruent Congurent= The Same Evan Nieslawski TABLE OF CONTENTS Proving Triangles by: Side, side, side (SSS) Side, angle, side (SAS) Angle, side, angle (ASA) Hypotenuse leg (HL) Angle, Angle, Side (AAS) SIDE, SIDE, SIDE (SSS) Proving Triangles Congruent by SSS: Three sides of one triangle must be congruent to three corresponding sides of another triangle. Mark sides congruent with tick marks as shown SIDE, ANGLE, SIDE (SAS) Proving Triangles Congruent by SAS: Two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle Mark sides and angles congruent with tick marks as shown ANGLE, SIDE, ANGLE (ASA) Proving Triangles Congruent by ASA: Two corresponding angles of the two triangles and the included side of the triangles must congruent Mark sides and angles congruent with tick marks as shown HYPOTENUSE LEG (HL) Proving Triangles Congruent by HL: Triangles MUST be right triangles!!! Two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles Mark sides and angles congruent with tick marks as shown ANGLE, ANGLE, SIDE (AAS) Proving Triangles Congruent by AAS Two corresponding angles and the non-included side one triangle are congruent to two corresponding angles and the non-included angle of another triangle Mark sides and angles congruent with tick marks as shown THE END I hope you learned a lot