Page 204 - Maths Class 06

Y

Step 2. Tak ing Y as the cen tre and with any suit able ra dius, draw an
arc cut ting AB at C and D. A C D B

Fig. 14.29

Y

Step 3. Tak ing C and D as cen tres and with ra dius more than half of CD, C D
A B
draw arcs be low AB in ter sect ing each other at X.

X
Fig. 14.30

Y
Step 4. Join X and Y (Fig. 14.31).
Hence, XY is the required perpendicular to the line
segment AB from point Y lying outside the line
A C D B
segment AB.

X

Fig. 14.31
Exercise 14.1

1. Draw the circle of the following radii:
(a) 3.5 cm (b) 4.5 cm (c) 2.7 cm

2. Draw two circles of same radii. A is the centre of one circle and B is the centre of the other circle.
3. Draw one of the circles in such a way that it passes through the centre of the other circle.
4. Using a ruler and a pair of compasses, draw the line segments of the following lengths:
(a) 5.2 cm (b) 7.7 cm (c) 4.5 cm

5. Draw two line segments AB and CD of lengths 3.7 cm and 5.5 cm respec tively. Construct the line
segment of the following lengths:
(a) AB + CD (b) CD – AB

6. Draw a line segment of length 5 cm. Draw a perpen dic u lar to the line from point P lying outside
the line.
7. Draw a line segment of length 6.1 cm. Draw a perpen dic u lar to the line from point Z lying on the
line.
8. Draw a line segment of length 6.2 cm and construct its perpendicular bisector.

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