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4.2 Triangle Congruence by SSS and SAS WS 4.2 & KWS 4.2 The definition of congruent triangles states that you need 6 pairs of congruent corresponding parts to prove triangles congruent. In reality, you only need certain pairs of congruent corresponding parts. C A Y B X Z Side-Side-Side Congruence (SSS) : If all 3 sides of 1 triangle are congruent to all 3 sides of another triangle, then the triangles are congruent. P Q N R M L If the angles of 1 triangle are congruent to the angles of another triangle the triangles are not necessarily congruent. AAA congruence does not guarantee triangle congruence. Included Angle: The angle that is at the W vertex of two known sides of a triangle X Y L Q P M N R Side-Angle-Side Congruence (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. State if the triangles are congruent. If they are state how you know. (SSS or SAS) E1 SAS E3 SSA?? E2 SSS State what additional information is required in order to know that the triangles are congruent for the given reasons. E5 SSS E4 SAS W L B A C ACB DBC D X E6 SAS F E Y XY MN J G K EF JK M L N