Page 182 - ICSE Math 6

5. Draw a line segment PQ of length 10 cm. Then, draw a perpendicular to PQ from a point A:
(a) on the line segment PQ (b) not on the line segment PQ

6. Draw a line segment of any length. Draw perpendiculars at both the end points of the line segment.
Are the two perpendiculars parallel or intersecting?

AT A GLANCE

Using a ruler and a compass, we can:
(a) construct an angle equal to a given angle.
(b) bisect an angle.
(c) construct angles of magnitude 30°, 45°, 60°, 90°, 120° and 135°.
(d) draw perpendicular bisector of a line segment.

(e) draw perpendicular to a line from a point on the line and not on the line.

MENTAL MATHS

1. Write True or False.
(a) We can draw an angle of 89° using a protractor as well as a ruler and a compass.
(b) Using a ruler and a compass, a bisector of any angle can be drawn.
(c) An angle of magnitude 45° can be drawn by bisecting an angle.

(d) Two perpendiculars can be drawn from a point not on the line.
(e) To draw an angle of 15°, an angle of 60° must be bisected twice.
2. Fill in the blanks.

(a) A perpendicular bisector of a line segment divides the line segment into _________ equal
parts.
1 °
(b) An angle of magnitude 22 can be drawn by bisecting an angle of _________.
2
(c) By bisecting an angle of 80°, an angle of _________ can be obtained.
(d) To construct an angle of 60°, arcs should be drawn with the _________ radius.

(e) A perpendicular _________ be drawn on a line segment from any point not on the line
segment.

PRACTICE TIME

1. Construct angles equal to the given angles.

P
P P
(a) (b) (c)

R Q Q R Q R

2. Construct the following angles and then bisect them.
(a) 30° (b) 45° (c) 105°

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