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## Perpendicular Lines:

Two lines l and m are said to be perpendicular to each other **if one of the angles formed by them is a right angle**, and we write **\({l}\perp{m}\) (read as l is perpendicular to m)**

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Two rays are said to be perpendicular to each other if the corresponding lines determined by them are perpendicular to each other.

Two segments are said to be perpendicular to each other if the corresponding lines determined by them arc perpendicular to each other.

A ray and a segment are said to be perpendicular to each other if the corresponding lines determined by them are perpendicular to each other.

## Construction of a line perpendicular to a given line:

### Perpendicular Lines Example 1:

Draw a line l and mark a point A on it. Construct a line perpendicular to the line l at the point A, using a protractor.**Method:**

Let l be the given line and A be the given point on it.

Place the protractor on l in such a way that its centre is exactly on the point A and its base line lies along l.

Holding the protractor fixed, mark with a pencil a point B on the paper against the **90°** mark of the protractor.

Remove the protractor and with a ruler draw a line passing through A and B.

Then, \({AB}\perp{l}\) at A.