Perpendicular Lines

In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle.

In other words,

$Set Square$ Set Square

If two lines meet or intersect at a point to form a right angle, they are called perpendicular lines. We can draw a perpendicular line with the help of a set of square.

The symbol used for perpendicular lines are ┴.

For example, a ┴ b (read as a is perpendicular to b).

$Perpendicular Lines Ab and AC$

In the above figure, AB and AC are perpendicular lines. ∠CAB = 90°. We use the symbol ⊥ to represent perpendicular lines.

What are perpendicular lines in geometry?

Lines that meet or cross at right angle are perpendicular to one another.

$Perpendicular Lines$

A right angle is usually marked by a box as shown in the above figure. Two rays or two line segments are said to be perpendicular if the corresponding lines determined by them are perpendicular. Similarly a ray and a segment are said to be perpendicular if the corresponding lines determined by them are perpendicular.

Here, l ┴ m (read as l is perpendicular to m).

Look at the following pictures and observe that how stumps of a wicket are placed on the ground. If we represent the ground by a straight horizontal line and a stump with a vertical line, the set of such lines are called perpendicular lines.

$Perpendicular Lines Examples$

Look at the two lines PQ and RS which intersect at the point P.

$Intersect at the Point P$

These lines are perpendicular to each other.

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