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 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 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

Which lines are perpendicular to each other?

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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

Exercise #3

Which figure(s) show intersecting lines?

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Step-by-Step Solution

Lines that intersect each other are lines that meet or cross each other.

The diagrams showing lines that cross each other are 1 and 3.

In diagram 2, the lines are perpendicular and vertical to each other, while in drawing 4, the lines are parallel to each other.

Answer

1 and 3

Exercise #4

Which of the figures shows parallel lines?

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Step-by-Step Solution

Parallel lines are lines that, if extended, will never meet.

In the drawings A+B+D if we extend the lines we will see that at a certain point they come together.

In drawing C, the lines will never meet, therefore they are parallel lines.

Answer

Exercise #5

Determine which lines are parallel to one another?

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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

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