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Worksheet: Identifying the Relationships between Two Lines in Space

Q1:

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

  • A intersecting
  • B parallel
  • C perpendicular
  • D skew

Q2:

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

  • A parallel
  • B skew
  • C perpendicular
  • D intersecting

Q3:

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

  • A intersecting
  • B skew
  • C perpendicular
  • D parallel

Q4:

Identify the missing phrase from the given sentence.

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

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

Q6:

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

  • A
  • B
  • C