Worksheet: Relations between Straight Lines, Line Segments, and Rays

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In this worksheet, we will practice describing the relations between straight lines, lines segments, and rays as parallel, intersecting, or perpendicular.

Q1:

Which of the following correctly defines perpendicular lines?

  • ATwo lines are said to be perpendicular if they meet at an obtuse angle.
  • BTwo lines are said to be perpendicular if they never intersect however far they are extended.
  • CTwo lines are said to be perpendicular if they meet at an acute angle.
  • DTwo lines are said to be perpendicular if they meet at right angles.
  • ETwo lines are said to be perpendicular if they meet at a reflex angle.

Q2:

Determine the colours of the lines that are perpendicular to each other.

  • Ablack and yellow
  • Bblue and yellow
  • Cblue and black

Q3:

Which are the parallel lines in the figure?

  • A ⃖ ⃗ 𝐶 𝐴 and ⃖ ⃗ 𝐹 𝐸
  • B ⃖ ⃗ 𝐷 𝐵 and ⃖ ⃗ 𝐹 𝐸
  • C ⃖ ⃗ 𝐷 𝐵 and ⃖ ⃗ 𝐶 𝐴

Q4:

Use ∥ or ⟂ to fill in the gap: 𝐴 𝐵 𝐶 𝐷 .

  • A ∥
  • B ⟂

Q5:

Is 𝐴 𝐵 parallel or perpendicular to 𝐵 𝐶 ?

  • A perpendicular
  • B parallel

Q6:

Is 𝐵 𝐶 parallel or perpendicular to 𝐴 𝐷 ?

  • A parallel
  • B perpendicular

Q7:

State whether the following is true or false: Any angle formed from the intersection of two perpendicular straight lines is a right angle.

  • A true
  • B false

Q8:

The blue car is driving on a road that is the road that the yellow car is driving on.

  • Aintersecting
  • Bperpendicular to
  • Cparallel to

Q9:

The blue car is driving on a road that is to the road that the yellow car is driving on.