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Worksheet: Identifying the Relationships between Two Lines in Three-Dimensions

Q1:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

  • Aperpendicular
  • Bskew
  • Cintersecting
  • Dparallel

Q2:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

  • Aperpendicular
  • Bintersecting
  • Cparallel
  • Dskew

Q3:

Using the cube below, decide which of the following describe the relative position of the straight lines and .

  • Aperpendicular
  • Bparallel
  • Cintersecting
  • Dskew

Q4:

Identify the missing phrase from the given sentence.

“Two lines, in the same plane, that do not intersect are said to be .

  • Askew lines
  • Bparallel lines
  • Cperpendicular lines
  • Didentical lines

Q5:

Which of the following correctly defines parallel lines?

  • ATwo lines are said to be parallel if they lie in the same plane and meet at an reflex angles.
  • BTwo lines are said to be parallel if they lie in the same plane and meet at an acute angles.
  • CTwo lines are said to be parallel if they lie in the same plane and never intersect however far they are extended.
  • DTwo lines are said to be parallel if they lie in the same plane and meet at an obtuse angle.
  • ETwo lines are said to be parallel if they lie in the same plane and meet at an right angles.

Q6:

Which of the following lists consists of three lines through the point ?

  • A
  • B
  • C