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Example 1a

A. Name a plane that is parallel to plane RST. A. plane WTZ B. plane SYZ C. plane WXY D. plane QRX. Example 1a. Choose the segment skew to MP. ___. A. PM B. TS C. PO D. MQ. ___. ___. ___. 5-Minute Check 2. A. 0 B. undefined C. 3 D. D. Find the slope of the line.

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Example 1a

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

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

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

  4. 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? A. about 251.5 million B. about 166.3 million C. about 180.5 million D. about 194.7 million Example 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  49. 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. A.C = 25 + d + 100 B.C = 125d C.C = 100d + 25 D.C = 25d + 100 Example 6a

  50. 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? A. first company B. second company C. neither D. cannot be determined Example 6b

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