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Chapter 5

Chapter 5. Name the following segment:. altitude. Name the following segment:. perpendicular bisector. Name the following segment:. median. Match the following:. ____ 1. Perpendicular a. Orthocenter Bisectors

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Chapter 5

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  1. Chapter 5

  2. Name the following segment:

  3. altitude

  4. Name the following segment:

  5. perpendicular bisector

  6. Name the following segment:

  7. median

  8. Match the following: ____ 1. Perpendicular a. Orthocenter Bisectors ____ 2. Medians b. Circumcenter____ 3. Angle Bisectors c. Centroid ____ 4. Altitudes d. Incenter

  9. 1- b2- c3- d4- a

  10. Medians are drawn: X C A If AX = 15 then AC = _____ If AC = 4 then CX = _____

  11. AC = 10CX = 2

  12. Write the equation of a line with slope 2/3 and passing through (-1, 4)

  13. y –y1=m (x–x1)y – 4 = 2/3 (x + 1)y – 4 = 2/3x + 2/33y – 12 = 2x + 22x – 3y = -14Standard Form

  14. The center of a triangle’s 9-point circle is the midpoint of the ____________.

  15. The center of a triangle’s 9-point circle is the midpoint of the Euler line.

  16. The Euler line connects the __________ and the _________.

  17. The Euler line connects the circumcenter and the orthocenter.

  18. Two sides of a triangle have lengths 5 and 8. The third side must be greater than ____ but less than ____

  19. Two sides of a triangle have lengths 5 and 8. The third side must be greater than 3 (difference)but less than 13 (sum).

  20. Can a triangle be formed with the following segment lengths?a) 2, 5, 2b) 8, 6, 7

  21. a) No (2 + 2 > 5) b) Yes (6 + 7 > 8)

  22. Use m 1, m 2, m 3 to complete: 2 4 5 3 1 6 ____ > ____ > ____

  23. m 2 > m 1 > m 3

  24. a b If 400 800 Then ____ > ____

  25. a b If 400 800 Then b > a

  26. 12 8 If 1 2 Then ____ > ____

  27. 12 8 If 1 2 Then m 1 > m 2

  28. Write an indirect proof: Given: John drives 120 miles in 2 hours Prove: John exceeded the 55 mph speed limit

  29. Assume temporarily that John did NOT exceed the 55 mph speed limit. In 2 hours, John would travel 110 miles. But this contradicts the fact that he drove 120 miles (from the given) so our assumption was false and John DID exceed the 55 mph speed limit… bad John!

  30. Mixed Review: Simplify

  31. = = 2

  32. Mixed Review: Simplify using positive exponents: (-2 x 4) -3

  33. -18 x 12

  34. Mixed Review: Simplify: (2.0 x 104) (6.0 x 10-3)

  35. (2.0 x 104) (6.0 x 10-3)= 12.0 x 10 1 = 1.2 x 102

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