# 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.

**Q3: **

Use or to fill in the gap: .

- A
- B

**Q5: **

Is parallel or perpendicular to ?

- 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

**Q9: **

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

- AParallel
- Bperpendicular

**Q10: **

Which of the following segments is perpendicular to ?

- A
- B
- C
- D

**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 perpendicular to a line segment .
- BA straight line intersecting a straight line .
- CA ray intersecting a ray .
- DA line segment intersecting a straight line .
- EA line segment parallel to a line segment .