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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Determine which lines are parallel to one another?

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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

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 #2

Identify in which of the drawings the lines are perpendicular?

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Video Solution

Step-by-Step Solution

Take note that perpendicular lines are lines that intersect at a 90-degree angle.

In order to better examine the types of angles that the lines create with one another, let's draw a T at the intersection point of the lines as follows:

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Notice that from the drawings, in answers 1+2 a right angle is formed, meaning the lines in these drawings are perpendicular.

Answer

1 and 2

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 4 figures below have in common?

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Video Solution

Step-by-Step Solution

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

We can see that what is common to all of the lines is that they intersect each other, meaning they have a point of intersection.

Remember that lines that cross each other are lines that will meet at a certain point.

Therefore, the correct answer is (a).

Answer

All show intersecting lines.

Exercise #5

What do the four figures below have in common?

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Video Solution

Step-by-Step Solution

Upon observation we can see that all the lines form a right angle of 90 degrees with each other.

Typically lines that form a right angle of 90 degrees with each other are perpendicular and vertical lines.

Therefore, the correct answer is a.

Answer

All the figures are perpendicular

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