1. LESSON 7-1 I can determine whether a dilation is an enlargement, a reduction or congruence transformation I can determine the scale factor for a given dilation

2. size

3. image preimage enlargement reduction congruent

4. reduction 3/6 or 0.5 enlargement 6/4 or 1.5

5. 36 mm 44 mm 34 mm C’ B’ 108 mm 132 mm 102 mm enlargement 3 A’

6. B’ D’ C’ 1/3 reduction

7. P’(rx, ry)

8. (-4, 4) (-2, -6) (6, 6)

9. (-2, 1.5) (-1, -2) (2.5, -1)

10. r = image preimage 4 = 6 x x = 1.5

11. r = image preimage = x 5 x = 3.33 2 3

12. 240 in 96 in 180 in 4 240 = 0.0167 = 1 60 4 240 = x 180 x = 3 in

13. 60 in 60 2 = 30 60 2 = x 5 x = 150 in

14. 7-1 worksheet ASSIGNMENT

15. LESSON 7-2 I can write ratios. I can use properties of proportions.

16. quotient with the same units a : b or a/b NOT b : a

17. females : males

18. elective : non-elective 2 :3

19. a : b : c Cannot be written as a fraction

20. 5 7 8 x x x 5x + 7x + 8x = 240 20x = 240 x = 12 60 84 96

21. 2 10 3 x x x 2x + 10x + 3x = 180 15x = 180 x = 12 24° 120° 36°

22. 7x 3x 7x 3x 20x = 140 x = 7 L W L = 49

23. fractionsequal diagonals 4(5) = 10(2)

24. 8y =72 y = 9 6x =163.8 x = 27.3

25. 4(2x + 3) = 40 8x + 12 = 40 x = 3.5 3(x – 1) = 4(x + 1) 3x – 3 = 4x + 4 x = -7

26. length width 40 9 = 16 x 40x = 144 x = 3.6 3.6 inches

27. miles inches 4 1 = x 3.5 x = 14 14 miles

28. gal miles 5 120 = x 350 x = 14.58333 14.6 gallons

29. wide tall 5 3.5 = x 18 x = 25.7143 25.7 inches 5 3.5 ? 18

30. 7-2 worksheet ASSIGNMENT

31. LESSON 7-3 I can identify similar figures. I can find missing side lengths in similar figures.

32. shape size shape size

33. congruent proportional congruent similar

34. 12 8 18 12 15 10 9 6 All = 1.5 Similar,all angles congruent, all sides proportional.

35. 10 5 6 3 8 4 All = 2 Similar,all angles congruent, all sides proportional.

36. 13 x = 14 7 x = 6.5

37. x 9 = 8 12 x = 6 10 y = 8 12 y = 15

38. Find x first 18 x = 12 18 x = 27 27

39. Find y next! y + 1 24 = 12 18 18(y + 1) = 288 18y + 18 = 288 27 y = 15 x = 27, y = 15

40. 11 12 Perimeter = 10 + 11 + 12 = 33

41. J K L MN L 5 12.5 10 y 2 x x = 5 2 x = 4 12.5 y = 5 2 y = 5

42. x + 4 2 = 3x + 3 3 2(3x + 3) =3(x + 4) 6x + 6 = 3x + 12 x = 2

43. 7-3 worksheet ASSIGNMENT

44. LESSON 7-4 I can identify similar triangles. I can use similar triangles to solve problems.

46. SSSSAS ASA AAS HL

49. similar by SSS~ 32 20 40 25 24 15 == Not similar 36 24 20 18 ≠

50. Not similar 18 16 14 12.5 11 ≠≠ Similar by AA~ 30° 60° ΔMKS ~ΔQTR

51. 7-4 worksheet ASSIGNMENT

52. LESSON 7-5 I can use the Triangle Proportionality Theorem to find parts of triangles I can use the Triangle Midsegment Theorem to find parts of triangles. I can recognize and use proportions to find relationships between altitudes, angle bisectors and medians of similar triangles.

53. parallel proportional

54. 7 21 6 x 7 6 x = x = 18

55. 12 x 6 7 = x = 14 x 14 NQ = 26

56. 22 x x + 12 11 22 =x = 12

57. x – 4 x – 6 14 6 = x = 7.5

58. endpoints midpoints2 sides parallel half

59. 35 2 = 17.5 X =

60. R S T X Y 12 RS = 2(12) = 24

61. proportional

62. 6 5 7 x 5 7 6 x = x = 8.4

63. 14 10.5 24 x = 14 10.5 x x = 18

64. x + 2 10 2x + 1 14 = x = 3

65. x 8 x + 2 12 = x = 4

66. 7-5 worksheet ASSIGNMENT

67. WARM-UP A. Tell whether each pair of triangles is similar or not (yes/no) B. Justify your answer. C. If yes, also write a similarity statement (Ex: △ ABC ~ △ ZXY) 40 ° P R S 50 ° D E F 1. 2. J G H 8 7 9 L M N 4 5 6 Yes, similar by AA~ (all angles are congruent) △SPR ~△EDF No, not similar 9 6 7 4 8 5 ≠≠

68. LESSON 7-6 I can solve problems involving relationships between parts of a right triangle and the altitude (height) to its hypotenuse (longest side).

69. ΔABC D A C D CB ΔACDΔCBD

70. 2 x x 6 2 x x 6 = = 3.46

71. 3 x y 9 y x 12 3 x x = 9 y y = = 6= 10.39

72. 2 y z 5 z y 7 x x 2 x x 5 = 2 y y 7 = 5 z z 7 = x = 3.16y = 3.74z = 5.92

73. 2 x x 6 = 2 y y 4 = 4 z z 6 = x = 3.46y = 2.83z = 4.90

74. 7-6 worksheet ASSIGNMENT