Page 203 - Maths Class 06

To Draw a Perpendicular at a Point on the Line
Con struc tion : Draw a per pen dic u lar at a point on the line seg ment AB = 4.5 cm us ing a ruler and a pair of
com passes.
Given : A line seg ment AB of length 4.5 cm and a point P ly ing on it.

To con struct : A line pass ing through P be ing per pen dic u lar to AB.
Step 1. Draw a line seg ment AB of length 4.5 cm and take a point P on it.

4.5 cm
A p B
Fig. 14.24

Step 2. Tak ing P as the cen tre and with any con ve nient ra dius, draw an arc cut ting AB at X and Y.

A X P Y B
Fig. 14.25
Q

Step 3. Tak ing X and Y as cen tres and with any suit able ra dius
draw arcs cut ting each other at Q.

A X P Y B
Fig. 14.26

Q

Step 4. Join P and Q (Fig. 14.27).

A X P Y B
Fig. 14.27

Then, PQ is perpendicular to AB passing through the point P.

To Draw a Perpendicular to a Given Line From a Point Lying Outside the Line
Con struc tion : Draw a per pen dic u lar at a point out side the line seg ment AB = 5.5 cm.

Given : A line seg ment AB of length 5.5 cm and a point Y ly ing out side the line.
To con struct : A line pass ing through Y which is per pen dic u lar to AB.
Y

Step 1. Draw a line segment AB of length 5.5 cm and mark point Y
out side the line seg ment AB.

A B
Fig. 14.28

203