4-2 Triangle congruence by sss & sas GEOMETRY

Side-Side-Side (SSS) Postulate If 3 sides of one triangle are congruent to the 3 sides of another triangle, then the 2 triangles are congruent ∆𝐺𝐻𝐹≅∆𝑃𝑄𝑅

Ex. 1) Is there enough information to prove the 2 triangles are congruent? Given: 𝑨𝑩 ≅ 𝑩𝑪 , 𝑨𝑫 ≅ 𝑪𝑫 Plan: 3 sides need to be congruent

Side-Angle-Side (SAS) Postulate If 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent ∆𝐴𝐵𝐶≅∆𝐸𝐹𝐷

Ex. 2) What other information do you need to prove ∆𝑹𝑺𝑲≅∆𝑻𝑲𝑺?

Ex. 3) What other information do you need to prove ∆𝑨𝑩𝑪≅∆𝑪𝑫𝑨 by SAS?

Ex. 4) From the information given, can you prove the triangle congruent?

Ex. 5) From the information given, can you prove the triangle congruent?