1. GEOMETRY 8.1
GEOMETRIC MEAN between two numbers a and b
is the POSITIVE NUMBER where:

2. GEOMETRY 8.1

3. GEOMETRY 8.1

10. GEOMETRY 8.1

11. GEOMETRY 8.1

12. GEOMETRY 8.1

13. GEOMETRY 8.1

14. GEOMETRY 8.1

15. GEOMETRY 8.1

17. GEOMETRY 8.1

19. GEOMETRY 8.1

20. GEOMETRY 8.1

21. GEOMETRY 8.1

22. GEOMETRY 8.1

23. GEOMETRY 8.1

24. GEOMETRY 8.1

25. GEOMETRY 8.1

26. GEOMETRY 8.1

27. GEOMETRY 8.1

28. GEOMETRY 8.1

29. GEOMETRY 8.1

30. GEOMETRY 8.1

32. m Ð
ABC =
90.00 B C D A

33. m Ð
ABC =
90.00 B C D A

34. Lesson:
8.2 Special Triangles
Pages:
338 – 340
Objectives:
To identify properties of and
triangles
To Use the Properties of Special Triangles
to solve problems

35. Geometry 8.2

36. A PALINDROME is a word, sentence
Or group of words that reads the same
Backward or Forward (like, WOW & BOB).
What is the PALINDROME for Adam’s
Self-introduction to Eve?
_ _ _ _ _ _ ‘ _ _ _ _ _!

37. A PALINDROME is a word, sentence
Or group of words that reads the same
Backward or Forward (like, WOW & BOB).
What did the lady with the FLOWERY
NAME say to the titled gentleman when
they were introduced?
_ _ _, _ ‘ _ I _ _ _

38. Geometry 8.2 ?? ? 1
??? 1

39. Geometry 8.2 ?? ? 4
??? 4

40. Geometry 8.2 ?? ? 9
??? 9

41. Geometry 8.2
THEOREM – Triangle
In a triangle
the Hypotenuse is times as long as a LEG. s s

42. Geometry 8.2
THEOREM – Triangle
If you KNOW the leg, find the hypotenuse by:

43. MULTIPLYING the Leg by . THEOREM – 45-45-90 Triangle Geometry 8.2
If you KNOW the leg, find the hypotenuse by:
MULTIPLYING the Leg by

44. MULTIPLYING the Leg by . THEOREM – 45-45-90 Triangle Geometry 8.2
If you KNOW the leg, find the hypotenuse by:
MULTIPLYING the Leg by
If the KNOW the Hypotenuse, find the Leg by:

45. MULTIPLYING the Leg by . THEOREM – 45-45-90 Triangle Geometry 8.2
If you KNOW the leg, find the hypotenuse by:
MULTIPLYING the Leg by
If the KNOW the Hypotenuse, find the Leg by:
DIVIDING the Hypotenuse by

46. Geometry 8.2 12 12 ?

47. Geometry 8.2 ? ?

48. Geometry 8.2 ? ?

49. Geometry 8.2 ? ? 3

50. Geometry 8.2 ? ? 12

51. C
Geometry 8.2
What are the
ANGLES? B A

52. C
Geometry 8.2 2S 30 30
What is the
Length of CD? 2S 60 60 D B A 2S

53. Geometry 8.2
THEOREM – Triangle
In a Triangle,
the Hypotenuse is twice the
Length of the Side opposite the
30 degree Angle
the Leg opposite the 60 degree
Angle is times the Leg
opposite the 30 degree Angle. 30 2S S 60 S

54. Geometry 8.2
THEOREM – Triangle
A SMART way to solve the Triangle:
Locate the 30 degree Angle.
Mark the Side OPPOSITE the 30 degree Angle as S.
If you know the Side OPPOSITE 30 degrees,
find the other Leg be Multiplying by and
find the Hypotenuse by Multiplying by 2.

55. Geometry 8.2
Geometry 8.2
THEOREM – Triangle
A SMART way to solve the Triangle:
Locate the 30 degree Angle.
Mark the Side OPPOSITE the 30 degree Angle as S.
If you know the Side OPPOSITE 60 degrees,
find the other Leg be DIVIDING by
THEN
find the Hypotenuse by Multiplying the RESULT by 2.

56. Geometry 8.2
Geometry 8.2
Geometry 8.2
THEOREM – Triangle
A SMART way to solve the Triangle:
Locate the 30 degree Angle.
Mark the Side OPPOSITE the 30 degree Angle as S.
If you know the Hypotenuse,
find the Leg OPPOSITE 30 degrees by DIVIDING by 2
THEN
find the Other Leg by Multiplying the RESULT by

57. Geometry 8.2 30 2S S 60 S

58. Geometry 8.2
Geometry 8.2 30 ? ? 60 4

59. Geometry 8.2 30 ? 12 60 ?

60. Geometry 8.2 30 12 ? 60 ?

61. Geometry 8.2 30 ? 12 60 ?

62. Geometry 8.2 30 ? 8 60 ?

63. Geometry 8.2 60 ? 5 30 ?

64. Geometry 8.2 60 20 ? 30 ?

65. Geometry 8.2 60 ? ? 30 17

66. ?
Geometry 8.2 60 ? ? 30

67. ?
Geometry 8.2 60 ? 6 30

68. 7
Geometry 8.2 60 ? ? 30

69. ?
Geometry 8.2 60 11 ? 30

70. Don’t Forget!
Geometry 8.2 8 ? ?

71. D C ABCD is a parallelogram DE is Altitude. Find DE. 6 120 E B A
Geometry 8.2 D C
ABCD is a
parallelogram
DE is
Altitude.
Find DE. 6
120 E B A

72. D C ABCD is a parallelogram DE is Altitude. Find DE. 4 135 E B A
Geometry 8.2
Geometry 8.2 D C
ABCD is a
parallelogram
DE is
Altitude.
Find DE. 4
135 E B A

73. Find the LENGTH of a DIAGONAL
of a SQUARE with sides 10in.

74. Find the LENGTH of a SIDE of a SQUARE
whose DIAGONAL is 4 cm.

75. One SIDE of an EQUILATERAL Triangle
is 6 cm. What is the measure of the Altitude?

76. You should be able to:
Name the Sides of a Triangle
Name the Sides of a Triangle
Calculate the Sides of a Special Triangle
Use Side Measurements to determine Angles