1 / 25

Splash Screen

Splash Screen. Five-Minute Check (over Lesson 4–3) Then/Now New Vocabulary Postulate 4.1: Side-Side-Side (SSS) Congruence Example 1: Use SSS to Prove Triangles Congruent Example 2: Standard Test Example Postulate 4.2: Side-Angle-Side (SAS) Congruence

willow-massey
Download Presentation

Splash Screen

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Splash Screen

  2. Five-Minute Check (over Lesson 4–3) Then/Now New Vocabulary Postulate 4.1: Side-Side-Side (SSS) Congruence Example 1: Use SSS to Prove Triangles Congruent Example 2: Standard Test Example Postulate 4.2: Side-Angle-Side (SAS) Congruence Example 3: Real-World Example: Use SAS to Prove Triangles are Congruent Example 4: Use SAS or SSS in Proofs Lesson Menu

  3. A B C D Write a congruence statement for the triangles. A.ΔLMN ΔRTS B.ΔLMN ΔSTR C.ΔLMN  ΔRST D.ΔLMN  ΔTRS 5-Minute Check 1

  4. A B C D Name the corresponding congruent angles for the congruent triangles. A.L  R, N  T, M  S B.L  R, M  S, N  T C.L  T, M  R, N  S D.L  R, N  S, M  T 5-Minute Check 2

  5. A B C D ___ ___ ___ ___ ___ ___ A.LM  RT, LN  RS, NM  ST B.LM  RT, LN  LR, LM  LS C.LM  ST, LN  RT, NM  RS D.LM  LN, RT  RS, MN  ST ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ Name the corresponding congruent sides for the congruent triangles. 5-Minute Check 3

  6. A B C D Refer to the figure. Find x. A. 1 B. 2 C. 3 D. 4 5-Minute Check 4

  7. A B C D Refer to the figure.Find m A. A. 30 B. 39 C. 59 D. 63 5-Minute Check 5

  8. A B C D A. A  E B. C  D C.AB  DE D.BC  FD ___ ___ ___ ___ Given that ΔABC ΔDEF, which of the following statements is true? 5-Minute Check 6

  9. You proved triangles congruent using the definition of congruence. (Lesson 4–3) • Use the SSS Postulate to test for triangle congruence. • Use the SAS Postulate to test for triangle congruence. Then/Now

  10. included angle Vocabulary

  11. Concept 1

  12. ___ ___ ___ ___ Given: QU AD, QD  AU Use SSS to Prove Triangles Congruent Write a 2-column proof. Prove: ΔQUD ΔADU Example 1

  13. A B C D Write a two-column proof. Given: AC ABD is the midpoint of BC.Prove: ΔADC  ΔADB ___ ___ Example 1 CYP

  14. EXTENDED RESPONSE Triangle DVW has vertices D(–5, –1), V(–1, –2), and W(–7, –4). Triangle LPM has vertices L(1, –5), P(2, –1), and M(4, –7).a. Graph both triangles on the same coordinate plane.b. Use your graph to make a conjecture as to whether the triangles are congruent. Explain your reasoning.c. Write a logical argument that uses coordinate geometry to support the conjecture you made in part b. Example 2A

  15. Solve the Test Itema. Example 2B

  16. b. From the graph, it appears that the triangles have the same shapes, so we conjecture that they are congruent. c. Use the Distance Formula to show all corresponding sides have the same measure. Example 2C

  17. Example 2C

  18. Answer:WD = ML, DV = LP, and VW = PM. By definition of congruent segments, all corresponding segments are congruent. Therefore, ΔWDV  ΔMLP by SSS. Example 2 ANS

  19. Concept 2

  20. ENTOMOLOGY The wings of one type of moth form two triangles. Write a two-column proof to prove that ΔFEG  ΔHIG if EI  HF, and G is the midpoint of both EI and HF. Use SAS to Prove Triangles are Congruent Example 3

  21. Given:EIHF; G is the midpoint of both EI and HF. Proof: Statements Reasons 1. EI HF; G is the midpoint ofEI; G is the midpoint of HF. 1. 2. 2. 3. FGE  HGI 4. ΔFEG ΔHIG 3. 4. Use SAS to Prove Triangles are Congruent Prove:ΔFEGΔHIG Example 3

  22. A B C D Proof: Statements Reasons 1. 1. 2. 2. 3. 3. ΔABGΔCGB Example 3

  23. Use SAS or SSS in Proofs Write a 2-column proof. Prove: Q  S Example 4

  24. A B C D Write a 2-column proof. Example 4

  25. End of the Lesson

More Related