Content code
m1667
Slug (identifier)
parallel-and-perpendicular-lines
Parent content
Grades
Grade 3
Grade 4
Equivalent file in the opposite grade group
Topic
Mathematics
Content
Title (level 2)
3rd and 4th Grade
Title slug (identifier)
third-and-fourth-grade
Contenu
Contenu
Title
What are parallel lines?
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Corps

Parallel lines are lines that never meet even when they are extended.

Example:

Image
Example of Parallel Lines
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Corps

Use the symbol "//" to indicate that two lines are parallel.

Example:
 

Image
Example of Parallel Lines
Corps

The symbols “a // b” indicate that line a is parallel to line b.

Corps

The lines of a plane figure can be parallel.

To find out what a plane figure is, see the Plane Figures concept sheet.

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Image
Example of Parallel Lines in a Plane Figure
Title
How do we show that two lines are parallel?
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Content
Corps

Extend the two lines to check whether they are parallel to each other. If the lines never intersect even while extending them, they are parallel.

Example:
 

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Example of Extending Parallel Lines
Corps

Check that the distance between the lines is the same everywhere by measuring the distance in at least two places. 

Example:

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Example of Checking the Distance Between Parallel Lines
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Example of Checking the Distance Between Parallel Lines
Title
How do we draw parallel lines?
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Corps

Use a grid to draw two parallel lines. The squares on the grid can help keep the lines the same distance apart.


Examples:

These two lines are at a distance of 1 square.

Image
Example of Parallel Lines on a Grid
Corps

These two lines are at a distance of 4 squares.

Image
Example of Parallel Lines on a Grid
Title
What are perpendicular lines?
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Corps

Perpendicular lines are two lines that intersect and form a right angle.

Examples:
 

Image
Examples of Perpendicular Lines
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Corps

Use the symbol "⊥" to indicate that two lines are perpendicular.

Example:
 

Image
Example of Perpendicular Lines
Corps

The symbols “a ⊥ b” indicate that line a is perpendicular to line b.

Corps

The lines of a plane figure can be perpendicular.

To learn about plane figures, see the Plane Figures concept sheet.

Content
Image
Example of Perpendicular Lines in a Plane Figure
Title
How do we show that two lines are perpendicular?
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Content
Corps

To check if two lines are perpendicular, place the corner of a sheet of paper where the lines intersect.

The angle is a right angle when the lines that form the angle are aligned with the sides of the sheet.

Example:
 

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Example of a Right Angle Compared to a Sheet
Title
How do we draw perpendicular lines?
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Content
Corps

To draw perpendicular lines, use the squares of a grid to make sure the lines are straight. The grid helps to draw a right angle.


Examples:
 

Image
Example of Perpendicular Lines on a Grid
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See also
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