1. Example 1a A.plane WTZ B.plane SYZ C.plane WXY D.plane QRX A.Name a plane that is parallel to plane RST.

2. 5-Minute Check 2 A.PM B.TS C.PO D.MQ ___ Choose the segment skew to MP.

3. A.0 B.undefined C.3 D. Example 1d D. Find the slope of the line.

4. Example 2 A.about 251.5 million B.about 166.3 million C.about 180.5 million D.about 194.7 million CELLULAR TELEPHONES Between 1994 and 2000, the number of cellular telephone subscribers increased by an average rate of 14.2 million per year. In 2000, the total subscribers were 109.5 million. If the number of subscribers increases at the same rate, how many subscribers will there be in 2010?

5. Example 1 A. – x – y = – 4 B.x – y = – 4 C.x + y = – 4 D.x + y = 4 Write an equation in standard form of the line with slope of –1 and y-intercept of 4.

6. Example 2 ALGEBRA Find x so that ||. A.x = 60 B.x = 9 C.x = 12 D.x = 12

7. Example 1 A.Yes; ℓ ║ n B.Yes; m ║ n C.Yes; ℓ ║ m D.It is not possible to prove any of the lines parallel. B. Given m  4 = 105 and m  5 = 70, is it possible to prove that any of the lines shown are parallel?

8. Example 1b B.Name a segment that intersects YZ. A.XY B.WX C.QW D.RS

9. Example 1c C.Name a segment that is parallel to RX. A.ZW B.TZ C.QR D.ST

10. Example 2a A.alternate interior B.alternate exterior C.corresponding D.same-side interior A. Classify the relationship between  4 and  5.

11. Example 2b A.alternate interior B.alternate exterior C.corresponding D.same-side interior B. Classify the relationship between  7 and  9.

12. Example 2c A.alternate interior B.alternate exterior C.corresponding D.same-side interior C. Classify the relationship between  4 and  7.

13. Example 2d A.alternate interior B.alternate exterior C.corresponding D.same-side interior D. Classify the relationship between  2 and  11.

14. Example 3a A.lines c, f B.lines c, d, e C.lines c, d, f D.lines c, d, e, f A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.

15. Example 3b A.no lines B.lines c, f C.lines c, d, e, f D.lines a, c, d, e, f B. HIKING A group of nature trails is shown. Identify the sets of lines to which line b is a transversal.

16. Example 3c A.no lines B.lines a, b, d, e, f C.lines a, d, f D.lines a, b, e C. HIKING A group of nature trails is shown. Identify the sets of lines to which line c is a transversal.

17. 5-Minute Check 1 A.RST B.PON C.STQ D.POS Choose the plane parallel to plane MNR.

18. 5-Minute Check 3 A.corresponding angles B.vertical angles C.same-side interior angles D. alternate exterior angles Classify the relationship between  1 and  5.

19. 5-Minute Check 4 A.alternate interior angles B.alternate exterior angles C.corresponding angles D.same-side interior angles Classify the relationship between  3 and  8.

20. 5-Minute Check 5 A.alternate interior angles B.alternate exterior angles C.corresponding angles D.vertical angles Classify the relationship between  4 and  6.

21. A.OS B.TS C.NR D.MQ 5-Minute Check 6 Which of the following segments is not parallel to PT?

22. Example 1a A.42 B.84 C.48 D.138 A. In the figure, a || b and m  18 = 42. Find m  22.

23. Example 1b A.42 B.84 C.48 D.138 B. In the figure, a || b and m  18 = 42. Find m  25.

24. Example 2 A.25 B.55 C.70 D.125 FLOOR TILES The diagram represents the floor tiles in Michelle’s house. If m  2 = 125, find m  4.

25. A. ALGEBRA If m  1 = 9x + 6, m  2 = 2(5x – 3), and m  3 = 5y + 14, find x. Example 3 A.x = 9 B.x = 12 C.x = 10 D.x = 14

26. B. ALGEBRA If m  1 = 9x + 6, m  2 = 2(5x – 3), and m  3 = 5y + 14, find y. Example 3 A.y = 14 B.y = 20 C.y = 16 D.y = 24

27. 5-Minute Check 1 A.24 B.34 C.146 D.156 In the figure, m  4 = 146. Find the measure of  2.

28. 5-Minute Check 2 A.24 B.34 C.146 D.156 In the figure, m  4 = 146. Find the measure of  7.

29. 5-Minute Check 3 A.160 B.146 C.56 D.34 In the figure, m  4 = 146. Find the measure of  10.

30. 5-Minute Check 4 A.180 B.160 C.52 D.34 In the figure, m  4 = 146. Find the measure of  11.

31. 5-Minute Check 5 A.180 B.146 C.68 D.34 Find m  11 + m  6.

32. 5-Minute Check 6 A.76 B.75 C.53 D.52 In the map shown, 5 th Street and 7 th Street are parallel. At what acute angle do Strait Street and Oak Avenue meet?

33. A. B. C. D. Example 1a A. Find the slope of the line.

34. A.0 B.undefined C.7 D. Example 1b B. Find the slope of the line.

35. A. B. C.–2 D.2 Example 1c C. Find the slope of the line.

36. Example 3 A.parallel B.perpendicular C.neither Determine whether AB and CD are parallel, perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2)

37. Example 4 Graph the line that contains R(2, –1) and is parallel to OP with O(1, 6) and P(–3, 1). A.B. C.D.none of these

38. 5-Minute Check 1 A. B. C. D. What is the slope of the line MN for M(–3, 4) and N(5, –8)?

39. 5-Minute Check 2 A. B. C. D. What is the slope of a line perpendicular to MN for M(–3, 4) and N(5, –8)?

40. 5-Minute Check 3 A. B. C. D. What is the slope of a line parallel to MN for M(–3, 4) and N(5, –8)?

41. A.B. C.D. 5-Minute Check 4 What is the graph of the line that has slope 4 and contains the point (1, 2)?

42. 5-Minute Check 5 What is the graph of the line that has slope 0 and contains the point (–3, –4)? A.B. C.D.

43. 5-Minute Check 6 A.(–2, 2) B.(–1, 3) C.(3, 3) D.(4, 2)

44. Example 2 Write an equation in point-slope form of the line whose slope is that contains (6, –3). A. B. C. D.

45. Example 3a A. Write an equation in slope-intercept form for a line containing (3, 2) and (6, 8). A. B. C. D.

46. Example 3b A.y = 2x – 3 B.y = 2x + 1 C.y = 3x – 2 D.y = 3x + 1 B. Write an equation in slope-intercept form for a line containing (1, 1) and (4, 10).

47. Example 4 Write an equation of the line through (–3, 6) and (9, –2) in slope-intercept form. A. B. C. D.

48. A.y = 3x B.y = 3x + 8 C.y = –3x + 8 D. Example 5

49. Example 6a A.C = 25 + d + 100 B.C = 125d C.C = 100d + 25 D.C = 25d + 100 RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit. A. Write an equation to represent the total cost C for d days of use.

50. Example 6b A.first company B.second company C.neither D.cannot be determined RENTAL COSTS A car rental company charges $25 per day plus a $100 deposit. B. Compare this rental cost to a company which charges a $50 deposit but $35 per day for use. If a person expects to rent a car for 9 days, which company offers the better rate?

51. 5-Minute Check 1 A. B. C. D. containing the point (5, –2) in point-slope form?

52. 5-Minute Check 2 A.y = 3x + 7 B.y = 3x – 2 C.y – 7 = 3x + 2 D.y – 7 = 3(x + 2) What is the equation of the line with slope 3 containing the point (–2, 7) in point-slope form?

53. 5-Minute Check 3 A.y = –3x + 2.5 B.y = –3x C.y – 2.5 = –3x D.y = –3(x + 2.5) What equation represents a line with slope –3 containing the point (0, 2.5) in slope-intercept form?

54. 5-Minute Check 4 A. B. C. D. containing the point (4, –6) in slope-intercept form?

55. 5-Minute Check 5 A.y = 3x + 2 B.y = 3x – 2 C.y – 6 = 3(x – 2) D.y – 6 = 3x + 2 What equation represents a line containing points (1, 5) and (3, 11)?

56. 5-Minute Check 6 A. B. C. D.

57. Example 1 A.Yes; ℓ ║ n B.Yes; m ║ n C.Yes; ℓ ║ m D.It is not possible to prove any of the lines parallel. A. Given  1   5, is it possible to prove that any of the lines shown are parallel?

58. Example 3 A.The two horizontal lines are parallel. B.The two vertical lines are parallel. C.The vertical lines are perpendicular to the horizontal lines. D.All of these statements are true. GAMES In the game Tic-Tac-Toe, four lines intersect to form a square with four right angles in the middle of the grid. Is it possible to prove any of the lines parallel or perpendicular? Choose the best answer.