Understanding Triangle Congruence by SSS and SAS Postulates

Explore the Side-Side-Side (SSS) and Side-Angle-Side (SAS) postulates to prove triangle congruence. Learn how to use corresponding sides and included angles to establish congruence between triangles. Practice identifying congruent triangles and whether to use SSS or SAS for proof.

• Triangle Congruence
• SSS Postulate
• SAS Postulate
• Corresponding Sides
• Included Angles

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1. 4-2 Triangle Congruence by SSS and SAS

2. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent

3. Problem 1: Using SSS ??? ??? ???

5. You can show relationships between a pair of corresponding sides and an included angle Included refers to the angles and the sides of a triangle as shown

6. Side-Angle-Side (SAS) Postulate If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent

7. Problem 2: Using SAS

8. Problem 3: Identifying Congruent Triangles Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain you answer.

9. Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain you answer.

10. Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain you answer.

11. Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain you answer.