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Chapter 3 Parallel and Perpendicular Lines

Jeopardy. Chapter 3 Parallel and Perpendicular Lines. Sec 3-1. Sec 3-2 & 3-5. Sec 3-3. Sec 3-4. Sec 3-6. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 40. 40. 40. 40. 50. 50. 50. 50. 50. QUESTION:

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Chapter 3 Parallel and Perpendicular Lines

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  1. Jeopardy Chapter 3 Parallel and Perpendicular Lines

  2. Sec 3-1 Sec 3-2 & 3-5 Sec 3-3 Sec 3-4 Sec 3-6 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

  3. QUESTION: • Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles. • ANSWER: • Corresponding Angles Sec 3-1 10 points

  4. Sec 3-1 20 points • QUESTION: • Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles. • ANSWER: • Alternate Interior • Angles

  5. Sec 3-1 30 points • QUESTION: • Identify the angle pair as alternate interior, alternate exterior, consecutive interior, or corresponding angles. • ANSWER: • Consecutive Interior • Angles

  6. Sec 3-1 40 points • QUESTION: • Name all segments parallel to segment BF • ANSWER: • Segment AE • Segment DH • Segment CG

  7. Sec 3-1 50 points • QUESTION: • Name all segments skew to segment AD • ANSWER: • Segment GH • Segment EF • Segment BF • Segment CG

  8. Sec 3-2 & 3-5 10 points QUESTION: In the figure, a is parallel to b, the measure of angle 1 is 45, and the measure of angle 10 is 130. Find the measure of the given angles. ANSWER: 135, 45, 130

  9. Sec 3-2 & 3-5 20 points • QUESTION: • Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. • ANSWER: • a is parallel to b • corresponding

  10. Sec 3-2 & 3-5 30 points • QUESTION: • Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. • ANSWER: • c is parallel to d • Consecutive int.

  11. Sec 3-2 & 3-5 40 points • QUESTION: • Find x so that segment AB is parallel to segment CD. • ANSWER: • x = 9

  12. Sec 3-2 50 points • QUESTION: • In the figure, the measure of angle 1 is 4p + 15, the measure of angle 3 is 3p – 10, and the measure of angle 4 is 6r + 5. Find the values of p and r. • ANSWER: • p = 25 • r = 10

  13. Sec 3-3 10 points • QUESTION: • Determine the slope of the line that contains the given points. • (0, 2) and (7, 3) • ANSWER: • m = (3 – 2) / (7 – 0) • m = 1/7

  14. Sec 3-3 20 points • QUESTION: • Determine the slope of the line that contains the given points. • (-2, -3) and (-6, -5) • ANSWER: • m = (-5 – (-3)) / (-6 – (-2)) • m = (-5 + 3) / (-6 + 2) • m = -2/-4 = 1/2

  15. Sec 3-3 30 points • QUESTION: • Find the slope of the line • perpendicular to segment AB. • ANSWER: • m = -2/3

  16. Sec 3-3 40 points • QUESTION: • Determine whether line PQ and line UV are parallel, perpendicular, or neither. • P(5, -4), Q(10, 0), U(9, -8), V(5, -13) • ANSWER: • Slope PQ = (0 + 4) / (10 – 5) = 4/5 • Slope UV = (-13 + 8) / (5 – 9) = -5/-4 = 5/4 • NEITHER

  17. Sec 3-3 50 points • QUESTION: • Determine whether line PQ and line UV are parallel, perpendicular, or neither. • P(-1, 4), Q(-3, 7), U(5, -1), V(8, 1) • ANSWER: • Slope PQ = (7 – 4) / (-3 + 1) = 3/-2 • Slope UV = (1 + 1) / (8 – 5) = 2/3 • PERPENDICULAR

  18. Sec 3-4 10 points QUESTION: Write an equation in slope-intercept form of the line having the given slope and y-intercept. m = 3, b = -1/4 ANSWER: y = 3x – 1/4

  19. Sec 3-4 20 points • QUESTION: • Write an equation in point-slope form of the line having the given slope that contains the given point. • m = 3, (-2, 4) • ANSWER: • y – 4 = 3(x +2)

  20. Sec 3-4 30 points • QUESTION: • Write an equation in slope-intercept form for the line that satisfies the given conditions. • contains (-3, -11) and (3, 13) • ANSWER: • m = (13 +11) / (3 + 3) = 24/6 = 4 • y = mx + b 13 = 4(3) + b b = 1 • y = 4x + 1

  21. Sec 3-4 40 points • QUESTION: • Write an equation in slope-intercept form for the line that satisfies the given condition. • Parallel to y = -(1/4)x + 2, contains (5, -8) • ANSWER: • m = -1/4 • y = mx + b -8 = -(1/4)(5) + b b = -27/4 • y = -(1/4)x – 27/4

  22. Sec 3-4 50 points • QUESTION: • Write an equation in slope-intercept form for the line that is perpendicular to 2y + 2 = - (7/4) (x – 7) and contains (-2, -3). • ANSWER: • m = 4/7 • y = mx + b -3 = (4/7) (-2) + b b = - (13/7) • y = (4/7)x – (13/7)

  23. Sec 3-6 10 points • QUESTION: • Draw the segment that represents the distance indicated. • D to segment BC • ANSWER:

  24. Sec 3-6 20 points • QUESTION: • Draw the segment that represents the distance indicated. • C to segment DE • ANSWER:

  25. Sec 3-6 30 points • QUESTION: • Find the distance between each pair of parallel lines. • y = -3 • y = 1 • ANSWER: • d = 4

  26. Sec 3-6 40 points • QUESTION: • Find the distance between each pair of parallel lines. • y = 4x • y = 4x – 17 • ANSWER: • y = -(1/4)x • -(1/4)x = 4x – 17 -(17/4)x = -17 x = 4 • y = -(1/4)(4) = -1 • Distance between (0, 0) and (4, -1) is √17

  27. Sec 3-6 10 points • QUESTION: • Find the distance between each pair of parallel lines. • x + 3y = 6 • x + 3y = -14 • ANSWER: • y = 3x + 2 • 3x + 2 = -(1/3)x – (14/3) (10/3)x = -(20/3) x = 2 • y = 3(2) + 2 = 8 • Distance between (0, 2) and (2, 8) is 2√10 y = -(1/3)x + 2 y = -(1/3)x – (14/3)

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