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!

What do the four figures below have in common?

1234

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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 below have in common?

1234

Video Solution

Step-by-Step Solution

Let's think about the different definitions of different lines.

Let's remember that parallel lines are lines that will never intersect with each other.

We can see that what's common to all the lines in the drawings is that if we extend them, we won't be able to find an intersection point, meaning they will never meet.

Therefore, the correct answer is b.

Answer

All parallel

Exercise #2

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:

1234

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 #3

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

Exercise #4

Which of the lines are perpendicular to each other?

Video Solution

Step-by-Step Solution

Let's remember that perpendicular lines are lines that form a right 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 will notice that the lines do not form a right angle, and therefore are not perpendicular.

Let's examine figure B:

The lines do indeed form a 90-degree angle and are therefore perpendicular.

Let's examine figure C:

We notice that the lines do not form a right angle, and therefore are not perpendicular.

Answer

Exercise #5

Which lines are perpendicular to each other?

Video Solution

Step-by-Step Solution

Perpendicular lines are lines that form a right angle of 90 degrees between them.

The only drawing where the lines form a right angle of 90 degrees between them is drawing A.

Answer

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