Lesson Worksheet: Parallel, Perpendicular, and Intersecting Lines Mathematics • 4th Grade

In this worksheet, we will practice classifying pairs of lines, rays, or line segments as parallel, perpendicular, or intersecting and using the correct notation to denote the relationship between lines.

Q1:

Which of the following correctly defines perpendicular lines?

  • ATwo lines are said to be perpendicular if they meet at a reflex 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 an obtuse angle.
  • ETwo lines are said to be perpendicular if they meet at right angles.

Q2:

Which are the parallel lines in the figure?

  • A𝐷𝐵 and 𝐶𝐴
  • B𝐷𝐵 and 𝐹𝐸
  • C𝐶𝐴 and 𝐹𝐸

Q3:

Use or to fill in the gap: 𝐴𝐵𝐶𝐷.

  • A
  • B

Q4:

Is 𝐴𝐵 parallel or perpendicular to 𝐵𝐶?

  • Aparallel
  • Bperpendicular

Q5:

Is 𝐵𝐶 parallel or perpendicular to 𝐴𝐷?

  • Aparallel
  • Bperpendicular

Q6:

True or False: Any angle formed from the intersection of two perpendicular straight lines is a right angle.

  • ATrue
  • BFalse

Q7:

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

  • Aintersecting
  • Bperpendicular to
  • Cparallel to

Q8:

What is the relation between the two straight lines?

  • Aintersecting and not perpendicular
  • Bparallel
  • Cperpendicular

Q9:

In the following figure, what is the relation between 𝑋𝑌 and 𝑋𝑍?

  • AParallel
  • Bperpendicular
  • CNeither parallel nor perpendicular

Q10:

Which of the following segments is perpendicular to 𝐴𝐵?

  • A𝐴𝐷
  • B𝐷𝐶
  • C𝑋𝑌
  • D𝐴𝐸

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