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Chapter 7

Chapter 7. SIMPLIFY: 20 12 3. 20 = 4 5 = 2 5 12 3 12 3 3 3 3. =. =. 4 3. MULTIPLY: ( 2 5 ) 2. (2 5 ) 2 = 4 25 = 4 5 = 20.

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Chapter 7

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  1. Chapter 7

  2. SIMPLIFY: 20 12 3

  3. 20 = 4 5 = 2 512312 3 3 3 3 = = 4 3

  4. MULTIPLY:( 2 5 )2

  5. (2 5 )2 = 4 25 = 4 5 = 20 .

  6. COMPLETE:( ___ )2 + ( ___ )2 = ( ___ )2 hyp leg1 leg2

  7. (leg1)2 + (leg2)2 = (hyp)2 • Pythagorean Theorem

  8. Complete to form RIGHT triangles: 3, 4, ____ 5, 12, ____ 6, 8, ____ 8, 15, ____

  9. 3, 4, 5 5, 12, 13 6, 8, 10 8, 15, 17

  10. Given segment lengths a, b, c longest Right c2 a2 + b2 Obtuse c2 a2 + b2 Acute c2 a2 + b2

  11. Right c2= a2 + b2 Obtuse c2> a2 + b2 Acute c2< a2 + b2

  12. COMPLETE: • L = ____ • H = ____ 45 45

  13. L = LH =L 2

  14. SOLVE: 45 • x = _____ • y = _____ y 8 45 x

  15. x = 8y = 8 2

  16. COMPLETE: • LL = _____ • H = _____ 60 Ls 30

  17. LL = Ls 3H = 2 Ls

  18. SOLVE: y x = _____ y = _____ 60 4 30 x

  19. x = 4 3y = 8

  20. AREA OF EQUILATERAL TRIANGLES: A = ½ ( ____ )( ____ ) A = ½ ( ____)( ____ ) A = ( ____ )2 ( ____ )

  21. A = ½ bh A = ½ ap A = s2 4

  22. Find the area: 6 (Equilateral Triangle)

  23. 18 6 3 30 9 A = s2 4 A = (18)2 4 A = 81 A = ½ bh A = ½ (18)(9 ) A = 81 A = ½ ap A = ½ (3 )(54) A = 81

  24. AREA OF SQUARES: • A = ( ____ )2 • A = ½ ( ____ )( ____ ) • A = ½ ( ____ )( ____ )

  25. A = s2 A = ½ ap A = ½ d1d2 a side (s)

  26. Find the area: 10 (Square)

  27. 20 10 10 45 10 A = s2 A = 202 A = 400 A = ½ ap A = ½ (10)(80) A = 400 A = ½ d1d2 A = ½ (20 )(20 ) A = 400

  28. AREA OF REGULAR HEXAGONS:A = ½ ( ____ )( ____ )

  29. A = ½ ap 120 a 60

  30. Find the area: 8 (Regular Hexagon)

  31. 8 4 3 60 4 4 A = ½ ap A = ½ (4 3)(48) A = 96 3

  32. AREA OF PARALLELOGRAMS: • A = ( ____ )( ____ )

  33. A = bh Height (h) Base (b)

  34. AREA OF ANY TRIANGLE:A = ½ ( ____ )( ____ )

  35. A = ½bh height (h) base (b)

  36. Find the height: 6 6 4

  37. 6 6 h 2 2 4 h2 +22 =62h2 = 32h = 32 = 4 2

  38. AREA OF RIGHT TRIANGLES:A = ½ ( ____ )( ____ )

  39. A = ½ (l1)(l2) leg (l1) leg (l2)

  40. AREA OF RHOMBUSES: • A = ½ ( ____ ) ( ____ )

  41. A = ½ (d1)(d2)

  42. AREA OF TRAPEZOIDS: A = ½ ( ____ ) ( ____ + ____ )

  43. A = ½(h)(b1+ b2) base (b1) height (h) base(b2)

  44. FOR CIRCLES: Circumference = ( __ )( __ )( __ )

  45. C = 2rπ

  46. What fraction of the circumference is arc AB? r B 120o A

  47. 120= 1 360 3

  48. AREA OF CIRCLES: A = ( ____ )( ____ )2

  49. A = πr2

  50. What fraction of the circle is shaded? 450 r

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