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Splash Screen. Five-Minute Check (over Lesson 4–4) CCSS Then/Now New Vocabulary Postulate 4.3: Angle-Side-Angle (ASA) Congruence Example 1: Use ASA to Prove Triangles Congruent Theorem 4.5: Angle-Angle-Side (AAS) Congruence Example 2: Use AAS to Prove Triangles Congruent

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 4–4) CCSS Then/Now New Vocabulary Postulate 4.3: Angle-Side-Angle (ASA) Congruence Example 1: Use ASA to Prove Triangles Congruent Theorem 4.5: Angle-Angle-Side (AAS) Congruence Example 2: Use AAS to Prove Triangles Congruent Example 3: Real-World Example: Apply Triangle Congruence Concept Summary: Proving Triangles Congruent Lesson Menu

  3. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A. SSS B. ASA C. SAS D. not possible 5-Minute Check 1

  4. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A. SSS B. ASA C. SAS D. not possible 5-Minute Check 2

  5. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A. SAS B. AAS C. SSS D. not possible 5-Minute Check 3

  6. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A. SSA B. ASA C. SSS D. not possible 5-Minute Check 4

  7. Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove congruence, choose not possible. A. AAA B. SAS C. SSS D. not possible 5-Minute Check 5

  8. A. B. C. D. Given A  R, what sides must you know to be congruent to prove ΔABC  ΔRST by SAS? 5-Minute Check 6

  9. Content Standards G.CO.10 Prove theorems about triangles. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. 5 Use appropriate tools strategically. CCSS

  10. You proved triangles congruent using SSS and SAS. • Use the ASA Postulate to test for congruence. • Use the AAS Theorem to test for congruence. Then/Now

  11. included side Vocabulary

  12. Concept

  13. Use ASA to Prove Triangles Congruent Write a two-column proof. Example 1

  14. Fill in the blank in the following paragraph proof. A. SSS B. SAS C. ASA D. AAS Example 1

  15. Concept

  16. Write a paragraph proof. __ ___ Proof: NKL  NJM, KL  MN, and N  N by the Reflexive property. Therefore, ΔJNMΔKNL by AAS. By CPCTC, LN MN. __ ___ Use AAS to Prove Triangles Congruent Example 2

  17. Complete the following flow proof. A. SSS B. SAS C. ASA D. AAS Example 2

  18. Apply Triangle Congruence MANUFACTURINGBarbara designs a paper template for a certain envelope. She designs the top and bottom flaps to be isosceles triangles that have congruent bases and base angles. If EV = 8 cm and the height of the isosceles triangle is 3 cm,find PO. Example 3

  19. The curtain decorating the window forms 2 triangles at the top. B is the midpoint of AC. AE = 13 inches and CD = 13 inches. BE and BD each use the same amount of material, 17 inches. Which method would you use to prove ΔABE  ΔCBD? A. SSS B. SAS C. ASA D. AAS Example 3

  20. Concept

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