2. 1. Please complete the next 2 sections of your SKILL BUILDER now. 2. Please have out your HOMEWORK to be stamped. 3. Please have out your EXTERIOR ANGLE THEOREM page on your desk to check.

3. MONDAY 1. Two airplanes leave the same airport at the same time. The first plane flies to a landing strip 350 miles south, while the other plane flies to an airport 725 miles west. To the nearest hundredth, how far apart are the two planes after they land? 2. An escalator in a shopping mall is 40 ft long and 32 ft tall. To the nearest hundredth, what distance does the escalator carry shoppers? 350 725 350² + 725² = c² 648125 = c² 805.06 = c C 32 ft 40 ft 32² + 40² = c² 2,624 = c² 51.22 = c

4. Name: __________________________________ Date: ______________________ Period: ____ Weekly Homework 8 th 2 - 5 Show all of your work to get credit. TUESDAY 1. Two birds leave the same spot at the same time. The first bird flies to his nest 11 miles south, while the other bird flies to his nest 7 miles west. Approximately how far apart are the two birds after they reach their nests? 2. Find the value of w. 11 7 7² + 11² = c² 170 = c² Approximately 13 miles w + w + 4w – 6 = 180 6w – 6 = 180 – 6 - 6 6w = 174 w = 29

5. 4(0) - 3 -3 4(1) - 31 4(2) - 3 5 4(3) - 39 (0, -3) 4 1 15 6.3

6. Bottom Side ON LO UT RU Bottom Side 5 10 x 6 10x = (5)(6) 10x = 30 x = 3

7. LINES AND ANGLES

8. Adjacent, Vertical, Supplementary, and Complementary Angles

9. Adjacent angles are “side by side” and share a common ray. 45º 15º

10. These are examples of adjacent angles. 55º 35º 50º130º 80º 45º 85º 20º

11. These angles are NOT adjacent. 45º55º 50º 100º 35º

12. When 2 lines intersect, they make vertical angles. 75º 105º

13. Vertical angles are opposite one another. 75º 105º

14. Vertical angles are opposite one another. 75º 105º

15. Vertical angles are congruent (equal). 30º150º 30º

16. Supplementary angles add up to 180º. 60º120º 40º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

17. Complementary angles add up to 90º. 60º 30º 40º 50º Adjacent and Complementary Angles Complementary Angles but not Adjacent

18. Practice Time!

19. Directions: Identify each pair of angles as vertical, supplementary, complementary, or none of the above.

20. #1 60º 120º

21. #1 60º 120º Supplementary Angles

22. #2 60º 30º

23. #2 60º 30º Complementary Angles

24. #3 75º

25. #3 75º Vertical Angles

26. #4 60º 40º

27. #4 60º 40º None of the above

28. #5 60º

29. #5 60º Vertical Angles

30. #6 45º135º

31. #6 45º135º Supplementary Angles

32. #7 65º 25º

33. #7 65º 25º Complementary Angles

34. #8 50º 90º

35. #8 50º 90º None of the above

36. Directions: Determine the missing angle.

37. #1 45º?º?º

38. #1 45º135º

39. #2 65º ?º?º

40. #2 65º 25º

41. #3 35º ?º?º

42. #3 35º

43. #4 50º ?º?º

44. #4 50º 130º

45. #5 140º ?º?º

46. #5 140º

47. #6 40º ?º?º

48. #6 40º 50º

49. PARALLEL LINES Def: line that do not intersect. Illustration: Notation: l | | m AB | | CD l m A B C D

50. Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking Streets: Laramie & LeClaire

51. Examples of Parallel Lines Streets: Belmont & School

52. PERPENDICULAR LINES Def: Lines that intersect to form a right angle. Illustration: Notation: m  n Key Fact: 4 right angles are formed. m n

53. Ex. of Perpendicular Lines Window panes Streets: Belmont and Cicero

54. Def: a line that intersects two lines at different points Illustration: Transversal t

55. Definition of Transversal In a plane, a line is a transversal iff it intersects two or more Lines, each at a different point. The lines cut by a transversal may or may not be parallel. l m 1 2 3 4 5 7 6 8 Parallel Lines t is a transversal for l and m. t 1 2 3 4 5 7 6 8 b c Nonparallel Lines r is a transversal for b and c. r

56. Two lines divide the plane into three regions. The region between the lines is referred to as the interior. The two regions not between the lines is referred to as the exterior. Exterior Interior

57.   =  =  +  = 180   l 1 2 3 4 m 5 7 6 8 t

58. l m 1 2 3 4 5 7 6 8 When a transversal intersects two lines, _____ angles are formed. eight These angles are given special names. t Interior angles lie between the two lines. Exterior angles lie outside the two lines. Alternate Interior angles are on the opposite sides of the transversal. Consectutive Interior angles are on the same side of the transversal. Alternate Exterior angles are on the opposite sides of the transversal. Corresponding angles are created when a transversal crosses parallel lines. The corresponding angles are the ones at the same location at each intersection.transversalintersection

59. https://www.youtube.com/watc h?v=2lcn0pmVniA

60. Vertical Angles Two angles that are opposite angles. (Kissing V’s)are . (  means CONGRUENT!) 12 3 4 5 6 78 t  1   4  2   3  5   8  6   7

61. Vertical Angles Find the measures of the missing angles 125  ? ? 55  t 125 

62. Corresponding Angles Two angles that occupy corresponding positions. Top Left t Top Right Bottom Right Bottom Left 11   5 22   6 33   7 44   8 1 2 34 5 6 78

63. Corresponding Angles Find the measures of the missing angles 145  ? t 35  145 

64. Alternate Interior Angles Two angles that lie between parallel lines on opposite sides of the transversal t 33   6 44   5 1 2 34 5 6 78

65. Alternate Interior Angles Find the measures of the missing angles 82  ? t 98  82 

66. Alternate Exterior Angles Two angles that lie outside parallel lines on opposite sides of the transversal t 22   7 11   8 1 2 34 5 6 78

67. Alternate Exterior Angles Find the measures of the missing angles 120  ? t 60  120 

68. Consecutive Interior Angles Two angles that lie between parallel lines on the same sides of the transversal t 33 +  5 = 180 44 +  6 = 180 1 2 34 5 6 78

69. Consecutive Interior Angles Find the measures of the missing angles ? t 135  45  180 - 135

70. s t c d 1 2 34 5 6 78 9 10 11 12 13 14 1516 s || t and c || d. Name all the angles that are congruent to  1. Give a reason for each answer.  3   1 corresponding angles  6   1 vertical angles  8   1 alternate exterior angles  9   1 corresponding angles  11   9   1 corresponding angles  14   1 alternate exterior angles  16   14   1 corresponding angles

71. Parallel Lines Discovery Activity

72. 1.Put a dot on the top left margin 2.On the top right count down 5 lines – make a dot – connect the dots with a straight line 3.From the dot on the left count down 5 lines – make a dot 4.From the right dot count down 5 lines and make a dot – connect these dots with a straight line 5.From the top left dot, count down 10 lines and make a dot, connect this dot with a straight line to the top right corner 6.Label the angles as you see here. 1 5 7 2 3 4 6 8

73. 1. Name a pair of same-side interior angles 2. Name a pair of same-side exterior Angles 3. Name a pair of adjacent angles 4. Name a pair of alternate-exterior Angles 5. Name a pair of alternate-interior angles 1 2 34 5 7 6 8

74. Angles Jeopardy game