7 4 Notes A

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1. Opener: Choose one of the homework problems listed on the whiteboard and write up your solution. Write your name under your work. 1 2. Homework Questions: 2 3.…
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  • 1. Opener: Choose one of the homework problems listed on the whiteboard and write up your solution. Write your name under your work. 1
  • 2. Homework Questions: 2
  • 3. Review: 1. Write a similarity ratio for the triangles. 2. Are the triangles ~? What options do you have for proving ~ ? If so, provide a similarity ratio F and statement. Find the value of "a" 2 different ways. C V D 9 a‐3 A B Z W 6 E 12 16 14 Y X 3
  • 4. Sections 7.4: Applying Properties of Similar Triangles We decided that these two triangles were similar by SAS~. What other information could we add to our picture now? V Are there any other equal 9 proportions created by our parallel 12 lines? Z W Triangle Proportionality Theorem: 6 12 16 16 Y X 4
  • 5. Example: Find CY. Solve this problem 2 ways. Compare your answers. Method 1 ‐ Use similar triangles (Review) B 4 X 9 C A Y 10 Method 2 ‐ Use the Triangle Proportionality Theorem 5
  • 6. Example: Are the sides of the triangle below divided proportionally? Can we make any additional conclusions about the figure? 21 M 42 K J 30 N 15 L In your notes, work with your partners to write a 2‐column proof showing MN || KL. Start with these three steps. _______________________________________________________________________ 1. JM = JN 1. Given MK NL 2. JM = JN 2. Proportion Property (Plug numbers in the JM + MK JN + NL Statement to make sure you believe it.) 3. JM = JN 3. (You fill this in.) JK JL 4. 4. 5. 5. 6. 6. 7. 7. 6
  • 7. What will happen if we have parallels but no triangle? A B C D X E F Two‐Transversal Proportionality Corollary 7
  • 8. Example: 2.4 cm 1.4 cm 2.2 cm 2.6 cm 8
  • 9. Do you see any possible proportions in thise figure? A B C D What about when it's not a right triangle? Do we have an argument for a true proportion? M K J L N 9
  • 10. Example: R x+2 Find RV and VT if SV is an angle bisector. 10 V 2x + 1 S T 14 10
  • 11. 11
  • 12. 1. 2. 3. 4. 12
  • 13. 5. 6. 7. 8. 13
  • 14. 9. 10. 11. 14
  • 15. 12. 13. 14. 15
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