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Congruent Triangles Name_________________________ 1. Is it possible to construct a unique triangle given the hypotenuse and a leg of a right triangle? A B hypotenuse C A leg 2. Is it possible to construct a unique triangle given two angles and the side NOT included between the two given angles? A B B C METHODS OF PROVING TRIANGLES CONGRUENT ( ABC EFD) Side Side Side (SSS) Side Angle Side E B (SAS) E B A A F D F D C C If all three corresponding sides are are congruent, then the triangles are congruent. If the two sides and the included angles are congruent, then the triangles are congruent. Angle Side Angle (ASA) Angle Angle Side (AAS) E B E B A A F D D C C If the two angles and the included side are congruent, then the triangles are congruent. If the two angles and the excluded side are congruent, then the triangles are congruent. Hypotenuse – Leg (HL) E B D C A F If the hypotenuses and legs of right triangles are congruent, then the triangles are congruent. F