1 / 20

Splash Screen

Splash Screen. Write a congruence statement for the triangles. A. Δ LMN  Δ RTS B. Δ LMN  Δ STR C. Δ LMN  Δ RST D. Δ LMN  Δ TRS. 5-Minute Check 1. Name the corresponding congruent angles for the congruent triangles. A. L  R, N  T, M  S

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

  3. 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

  4. ___ ___ ___ ___ ___ ___ 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

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

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

  7. 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

  8. 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. 1 Make sense of problems and persevere in solving them. CCSS

  9. You proved triangles congruent using the definition of congruence. • 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 flow proof. Prove: ΔQUD ΔADU Example 1

  13. Which information is missing from the flowproof?Given: AC ABD is the midpoint of BC.Prove: ΔADC  ΔADB ___ ___ ___ ___ A.AC  AC B.AB  AB C.AD  AD D.CB  BC ___ ___ ___ ___ ___ ___ Example 1 CYP

  14. SSS on the Coordinate Plane 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. Determine whether ΔABCΔDEFfor A(–5, 5), B(0, 3), C(–4, 1), D(6, –3), E(1, –1), and F(5, 1). A. yes B. no C. cannot be determined Example 2A

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

  17. The two-column proof is shown to prove that ΔABG ΔCGB if ABG  CGB and AB  CG. Choose the best reason to fill in the blank. Proof: Statements Reasons 1. 1. Given 2. ? Property 2. 3. SSS 3.ΔABGΔCGB A. Reflexive B. Symmetric C. Transitive D. Substitution Example 3

  18. Use SAS or SSS in Proofs Write a paragraph proof. Prove: Q  S Example 4

  19. Choose the correct reason to complete the following flow proof. A. Segment Addition Postulate B. Symmetric Property C. Midpoint Theorem D. Substitution Example 4

  20. End of the Lesson

More Related