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Geometry - Chapter Three (Question 1-10)

This chapter covers concepts related to lines in geometry including parallel lines, coplanarity, skew lines, and intersection of lines.

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Geometry - Chapter Three (Question 1-10)

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  1. Geometry – Chapter Three

  2. Question 1 - 10 • Fill in the blank with sometimes, always, or never. If two lines are parallel, then they are _________________ coplanar.

  3. Answer 1 – 10 • always

  4. Question 1 - 20 • A line that intersects two other lines is a ___________________

  5. Answer 1 – 20 • Transversal

  6. Question 1 - 30 • Fill in the blank with sometimes, always, or never: If two lines are skew to a third line, then they are _____________________ skew to each other.

  7. Answer 1 – 30 • sometimes

  8. Question 1 - 40 • Fill in the blank with sometimes, always, or never If three lines intersect at one point, then they are ________________ coplanar.

  9. Answer 1 – 40 • sometimes

  10. Question 1 - 50 • Fill in the blank with sometimes, always, or never: If two lines are not coplanar, then they ______________ intersect.

  11. Answer 1 – 50 • Never

  12. Question 2 - 10 • Find the m<1 and m<2

  13. Answer 2 – 10 • 79 and 101

  14. Question 2 - 20 • Solve for x:

  15. Answer 2 – 20 • x = 90

  16. Question 2 - 30 • Solve for x and y:

  17. Answer 2 – 30 • x = 68 and y = 32

  18. Question 2 - 40 • Solve for x and y:

  19. Answer 2 – 40 • x = 32 and y = 64

  20. Question 2 - 50

  21. Answer 2 – 50 • Given, VA Cong Thm, Corr Angle Post, Transitive

  22. Question 3 - 10 • Find the slope of the line that passes through the points (-2, 2) and (2, 6)

  23. Answer 3 – 10 • -2

  24. Question 3 - 20 • Tell which line is steeper: Line 1: (-4, 2) and (-3, 6) Line 2: (1, 6) and (3, 8)

  25. Answer 3 – 20 • Line 1

  26. Question 3 - 30 • What are the correct mathematical words to describe perpendicular slopes?

  27. Answer 3 – 30 • Opposite reciprocals

  28. Question 3 - 40 • A water slide is 6 feet tall and the base of the ladder is 9 feet from the bottom of the slide. About what slope does the slide have?

  29. Answer 3 – 40 • 2/3

  30. Question 3 - 50 • Tell whether the lines through the given points are parallel, perpendicular, or neither. Line 1: (-9, 3) and (-5, 7) Line 2: (-11, 6) and (-7, 2)

  31. Answer 3 – 50 • perpendicular

  32. Question 4 - 10 • Write the equation of the line that goes through (5, 4) with a slope of 4.

  33. Answer 4 – 10 • y = 4x – 16

  34. Question 4 - 20 • Write an equation of the line that has an undefined slope and passes through (3, -2)

  35. Answer 4 – 20 • X = 3

  36. Question 4 - 30 • Write an equation for the line

  37. Answer 4 – 30 • y = 2/7x - 20/7

  38. Question 4 - 40 • Write an equation of the line that passes through (-2, 1) and is parallel to 10x + 4y = -8

  39. Answer 4 – 40 • y = -5/2x – 4

  40. Question 4 - 50 • Write and equation for the line that passes through (0, -5) and is perpendicular to x = 20

  41. Answer 4 – 50 • y = -5

  42. Question 5 - 10 • Find x:

  43. Answer 5 – 10 • x = 50

  44. Question 5 - 20 • Find x

  45. Answer 5 – 20 • X = 25

  46. Question 5 - 30 • Write an equation for two perpendicular lines that have the same y-intercept and do not pass through the origin.

  47. Answer 5 – 30

  48. Question 5 - 40 • Which line is perpendicular to 3y + 2x = 12? • 6x – 4y = 24 • y + 3x = -2 • 2x + 3y = 6 • y = -2x + 6

  49. Answer 5 – 40 • A

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