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Triangle Congruence by SSS and SAS Section 4.2 Warm Up The 2 triangles are congruent in each diagram. Write the triangle congruence statement. Proving 2 Triangles are Congruent. If 2 triangles are congruent, then all 3 sides and all 3 angles are congruent. 6 total. Proof Shortcuts – Instead of showing all 6 parts are congruent, sometimes we only need to find 3 parts that are congruent. SSS – If we can show that all 3 sides are congruent, we can say the triangles are congruent (we don’t need the angles). SSS – (Side, Side, Side) Given: M is the midpoint of XY, AX Prove: AMX AMY AY Proving 2 Triangles are Congruent. If 2 triangles are congruent, then all 3 sides and all 3 angles are congruent. 6 total. Proof Shortcuts – Instead of showing all 6 parts are congruent, sometimes we only need to find 3 parts that are congruent. SAS – If we can show that 2 sides and the included angle are congruent, we can say the triangles are congruent (we don’t need the third side or the other 2 angles). SAS – (Side, Angle, Side) Given: RSG Prove: RSG RSH, SG RSH SH.