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Perpendicular Lines

Perpendicular lines are lines, segments or rays that intersect to form right angles.

The symbol means is perpendicular to .

Math diagram

In the figure,


The right angle symbol in the figure indicates that the lines are perpendicular.

In three dimensions, you can have three lines which are mutually perpendicular.

Math diagram

The rays P T , T U and T W are perpendicular to each other.

Example :

Math diagram

If A B C D , find m E O D .

Since A B C D , m B O D = 90 ° .

By the Angle Addition Postulate,

m B O E + m E O D = m B O D

Let x ° be the measure of E O D .


35 ° + x ° = 90 ° .

Subtract 35 ° from each side.

x ° = 55 °


m E O D = 55 ° .


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