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4-2

4-2. Triangle Congruence by SSS and SAS. OBJECTIVE. To prove to triangles congruent using the SSS and SAS Postulates. KEY CONCEPT. E. A. D. C. B. F. Side-Side-Side (SSS) Postulate. KEY CONCEPT. E. A. D. C. B. F. Side-Angle-Side (SAS) Postulate. CLASS WORK.

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4-2

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  1. 4-2 Triangle Congruence by SSS and SAS

  2. OBJECTIVE To prove to triangles congruent using the SSS and SAS Postulates

  3. KEY CONCEPT E A D C B F Side-Side-Side (SSS) Postulate

  4. KEY CONCEPT E A D C B F Side-Angle-Side (SAS) Postulate

  5. CLASS WORK Draw MGT. Use the triangle to answer the questions. • 1. What angle is included between GM and MT? • 2. Which sides include ? • 3. What angle is included between GT and MG?

  6. CLASS WORK 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 your answer. 4. 5.

  7. CLASS WORK 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 your answer. 6. 7.

  8. CLASS WORK 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 your answer. 8.

  9. CLASS WORK 9. Given: • Prove: ABC EDC Statements Reasons

  10. CLASS WORK 11. Given: Prove: WXZ YZX Statements Reasons

  11. SUMMARY Two prove triangles congruent you can have: Three sides (SSS) Two sides and the included angle (SAS)

  12. EXIT PROBLEM 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 your answer. 12.

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