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Proving Triangle Congruence: SSS and SAS Postulates Overview

In this lesson, we will explore how to prove that triangles are congruent using the Side-Side-Side (SSS) and Side-Angle-Side (SAS) congruence postulates. We will review the criteria for triangle congruence, emphasizing that it's not necessary to prove all six parts are congruent. Understanding these two postulates will allow you to determine if two triangles are congruent based on limited information. Engage with various examples and practice problems to enhance your proof skills in geometry.

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Proving Triangle Congruence: SSS and SAS Postulates Overview

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Presentation Transcript

  1. No warm-Up Have homework out by the end of the last bell Warm-Up

  2. Homework Review

  3. Homework Review

  4. SWBAT prove that triangles are congruent using the SSS and SAS congruence postulates Section 4.2: Proving Triangles are Congruent SSS and SAS

  5. Yesterday we learned that we can prove triangles are congruent by showing corresponding parts are congruent Today you will learn that we do not need to show all six parts are congruent in order to show triangles are congruent Review

  6. If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent Side – Side – Side SSS

  7. Decide whether there is enough information to prove the triangles are congruent Example

  8. Decide whether there is enough information to prove the triangles are congruent Example

  9. If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. Side – Angle – Side SAS

  10. Given the diagram, prove ∆AEB≅∆DEC Example D A E 2 1 C B

  11. Could you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Example

  12. Could you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Example

  13. Could you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Example

  14. Could you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Example

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