1. Fourth Six Weeks’ Test Review

2. For the purposes of this presentation...

3. Assume that triangles which appear to be right triangles are.

4. Assume that lines that appear to be perpendicular are.

5. 4 25 x = 10

7. 6 8 x

8. 12 18 x 21.63

9. 20 16 x =12

10. 15 24 x

11. 15 24 X= 9 12

13. 45 o x =12

14. x 10

15. 30 o 20 x y

16. 10 x

17. Find the Geometric mean between 4 and 25. =10

18. NM=9, MK=4, Find JM. =6

19. What equation can be formed? g t m

20. What kind of triangle has sides 41, 40 and 9? Right

21. What kind of triangle has sides of 8, 12 and 18? Obtuse

22. Find the leg of the right triangle: 15 17 x =8

23. Find x 8 8 x

24. An equilateral triangle has a side of 12. What is its altitude?

25. Which ratio is: The opposite leg over the hypotenuse?

26. The Sine Ratio

27. Which ratio is: The adjacent leg over the hypotenuse?

28. The Cosine Ratio

29. What makes up the tangent ratio?

30. The opposite leg over the adjacent leg

32. 20 28 o x

33. 9 x 50 o

34. x 21 32

35. x 21 32 Tan x = 21/32

36. x 21 32

37. What’s true about an interior and exterior angle of a polygon? Supplementary

38. For polygons to “fit” around a vertex, the sum of their interior angles must be 360

39. A regular n-gon has lines of symmetry and rotational of 360/n degrees n

40. Find the sum of the interior angles of a decagon: 1440

41. Find the measure of 1 interior angle of a regular 18-gon 160

42. Find the sum of the exterior angles of a 55-gon 360

43. Find the measure of one exterior angle of a regular 24-gon 15

44. The sum of the interior angles of what polygon is 4500? 27-gon

45. The measure of 1 interior angle of what regular polygon is 170? 36-gon

46. The measure of 1 exterior angle of what regular polygon is 8? 45-gon

47. A regular octagon has 8 lines of symmetry and what degree of rotation? 45

48. The sum of its interior angles is 4 times the sum of its exterior angles. decagon

49. ? What regular polygon is missing Another hexagon

50. What regular polygon is missing ? Another Octagon

51. What’s the symmetry of a regular decagon? 10 lines, 36 degr. rotational

52. Find x (Given a regular octagon) x X = 90 degrees

53. What 3 regular polygons will tessellate the plane?

54. Equilateral triangles

55. Regular Hexagons

56. Squares

57. Which special quadrilateral has the symmetry described...

58. - No lines - 180 o rotational

59. Answer: Parallelogram

60. Complete the Theorem….

61. The diagonals of a parallelogram____ _____.

62. …bisect each other.

63. Opposite sides of a parallelogram are__________.

64. …congruent. (They are also parallel, but that is in the definition, not a theorem.)

65. If the opposite angles of a quadrilateral are congruent, then__________

66. …then the quadrilateral is a parallelogram.

67. Consecutive angles of a parallelogram are ____________.

68. Supplementary.

69. Always, Sometimes, or Never...

70. The diagonals of a parallelogram ____ bisect each other.

71. Always

72. A quadrilateral is _____ a parallelogram,

73. Sometimes

74. The End