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 can be said about the lines shown below?

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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 can be said about the lines shown below?

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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 #2

What do the 4 figures below have in common?

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Video Solution

Step-by-Step Solution

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

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

We'll remember that lines that cross each other are lines that will meet at a certain point.

Therefore, the correct answer is a.

Answer

All intersections

Exercise #3

What do the four figures below have in common?

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Step-by-Step Solution

Answer

All parallel

Exercise #4

What do the four figures have in common?

1234

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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 #5

Which figure shows perpendicular lines?

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Step-by-Step Solution

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

In the drawings A+C+D, you can see that the angles formed are not right angles.

It is possible to point out a right angle in drawing B.

Answer

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