# CONSTRUCTION OF PERPENDICULAR LINES

## About "Construction of perpendicular lines"

Construction of perpendicular lines :

The two lines which have the angle of inclination 90° at the point of intersection are called as perpendicular lines.

Here, we are going to see, how to construct perpendicular lines.

To have better understanding on constructing perpendicular lines, let us look at some examples.

## Construction of perpendicular lines - Examples

Example 1 :

Using a set square and a ruler construct a line perpendicular to given line at a point on it.

Solution :

Step 1 :

(i) Draw a line AB with the help of a ruler.

(ii) Mark a point P on it.

Step 2 :

(i) Place a ruler on the line AB

(ii) Place one edge of a set square containing the right angle along the given line AB as shown in the figure.

Step 3 :

(i) Pressing the ruler tightly with the left hand, slide the set square along the ruler till the edge of the set square touches the point P.

(ii) Through P, draw a line PQ along the edge.

Step 4 :

PQ is the required line perpendicular to AB. Measure and check if m<APQ  =  m<BPQ  =  90°

Example 2 :

Using a set square and a ruler draw a line perpendicular to the given line through a point above it.

Solution :

Step 1 :

(i) Draw a line PQ using a ruler

(ii) Mark a point A above the given line

Step 2 :

(i) Place the ruler on the line PQ

(ii) Place one edge of a set square containing the right angle along the given line PQ as shown in the figure.

Step 3 :

(i) Pressing tightly the ruler with the left hand, slide the set square along the ruler till the edge of the set square touches the point A

(ii) Through A draw a line AO along the edge.

Step 4 :

(i) AO is the required line perpendicular to PQ.

(ii) Measure and check : m<POA  =  <mQOA  =  90°

After having gone through the stuff given above, we hope that the students would have understood "Constructing perpendicular lines".

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