Perpendicular Lines

🏆Practice perpendicular lines

Perpendicular lines are vertical lines that form a right angle between them, that is, an angle of 90° 90° degrees.
Perpendicular lines appear in many geometric shapes, such as a rectangle, a square, a right triangle, and others. 

Image of Perpendicular Lines

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Test yourself on perpendicular lines!

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What do the four figures have in common?

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Some examples of perpendicular lines

Perpendicular lines that form a 90° 90° degree angle between them.
Perpendicular lines in a right triangle.
Perpendicular lines in a rectangle: the 2 2 adjacent sides in the rectangle are perpendicular to each other.

Perpendicular lines are vertical lines that form a right angle between them


Examples and exercises with solutions of perpendicular lines

Exercise #1

What do the four figures have in common?

1234

Video Solution

Step-by-Step Solution

Remember that perpendicular lines form a 90-degree angle between them.

Parallel lines are lines that never intersect and do not form any angle between them.

To be able to examine the lines, a line will be drawn at each end of the line, as follows:

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We notice that from the drawings it seems that all the lines do not form any angle between them, this is because they do not meet each other.

Therefore, all figures show parallel lines.

Answer

All show parallel lines.

Exercise #2

Determine which lines are parallel to one another?

Video Solution

Step-by-Step Solution

Remember that parallel lines are lines that, if extended, will never intersect.

In diagrams a'+b'+c', all the lines intersect with each other at a certain point, except for diagram d'.

The lines drawn in answer d' will never intersect.

Answer

Exercise #3

What can be said about the lines shown below?

Video Solution

Step-by-Step Solution

Let's remember the different properties of lines.

The lines are not parallel since they intersect.

The lines are not perpendicular since they do not form a right angle of 90 degrees between them.

Therefore, no answer is correct.

Answer

None of the above.

Exercise #4

What do the four figures have in common?

1234

Video Solution

Step-by-Step Solution

Let's remember that perpendicular lines are lines that form a 90-degree angle with each other.

Parallel lines are lines that will never intersect and do not form any angle between them.

In order to examine the types of angles that lines form with each other, we will draw a T at the intersection point of the lines in the following way:

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Note that from the drawings we can see that what they all have in common is the right angle, which means that all the lines are perpendicular.

Answer

All show perpendicular lines.

Exercise #5

Which lines are perpendicular to each other?

Video Solution

Step-by-Step Solution

Let's remember that perpendicular lines are lines that form an angle of 90 degrees between them.

In each of the answers, we will draw the letter T at the point of intersection of the lines.

Let's examine figure A:

We notice that the lines do form a right angle and the lines are perpendicular to each other.

Let's examine figure B:

We notice that the lines do not meet and do not form any angle; therefore, they are parallel lines and not perpendicular.

Answer

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