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

Q10:

Which of the following segments is perpendicular to 𝐴𝐵?

  • A𝐴𝐷
  • B𝐷𝐶
  • C𝑋𝑌
  • D𝐴𝐸

Q11:

True or False: Any two parallel lines may intersect if they are extended.

  • ATrue
  • BFalse

Q12:

Which of the following shapes has only three sets of parallel lines?

  • A(b)
  • B(c)
  • C(d)
  • D(a)
  • E(e)

Q13:

Complete the following: Two parallel lines are two lines that .

  • Aare perpendicular
  • Bintersect but do not lie in the same plane
  • Clie in the same plane and do not have a common point
  • Dlie in the same plane and have a common point
  • Edo not lie in the same plane and do not intersect

Q14:

Can two parallel straight lines intersect?

  • ANo
  • BYes

Q15:

How many points of intersection do two parallel lines have?

Q16:

True or False: Two lines that are perpendicular to the same line must intersect.

  • ATrue
  • BFalse

Q17:

What does this picture show?

  • Aparallel line segments
  • Bintersecting lines
  • Cintersecting rays
  • Dintersecting line segments
  • Eperpendicular lines

Q18:

True or False: If two lines are parallel, they do not intersect.

  • ATrue
  • BFalse

Q19:

What do we call two lines that intersect in a point and meet at right angles?

  • Aintersecting and not perpendicular
  • Bperpendicular
  • Cparallel

Q20:

If one of the angles at the point of intersection between two lines is acute, what can you say about the two lines?

  • AThey are neither parallel nor perpendicular.
  • BThey are perpendicular.
  • CThey are parallel.

Q21:

How many points of intersection do two intersecting lines have?

Q22:

What are these?

  • Aintersecting line segments
  • Bparallel lines
  • Cperpendicular lines
  • Dintersecting rays
  • Eparallel line segments

Q23:

What are these?

  • Aintersecting line segments
  • Bparallel lines
  • Cperpendicular rays
  • Dperpendicular lines
  • Eparallel line segments

Q24:

What does this picture show?

  • Aparallel lines
  • Bparallel line segments
  • Cintersecting lines
  • Dperpendicular lines
  • Eintersecting rays

Q25:

Which sentence describes what has been drawn?

  • AA line segment 𝐴𝐵 perpendicular to a line segment 𝐺𝐻.
  • BA straight line 𝐴𝐵 intersecting a straight line 𝐺𝐻.
  • CA ray 𝐴𝐵 intersecting a ray 𝐺𝐻.
  • DA line segment 𝐴𝐵 intersecting a straight line 𝐺𝐻.
  • EA line segment 𝐴𝐵 parallel to a line segment 𝐺𝐻.

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