Page 183 - ICSE Math 6

3. Draw a line segment of length 5 cm. Then, draw its perpendicular bisector which intersects the
line segment at O.
4. Draw a line segment AB of length 12 cm. Mark a point O such that AO = 5 cm. Draw a perpendicular
to AB from point O.

5. Draw a line segment PQ of length 9 cm. Mark a point R such that PR = 3 cm. Draw a perpendicular
RS to PQ at R.
6. Draw a line segment AB of any length. Using a protractor, draw ∠OAB = 80°. Then, using a ruler
and a compass, bisect this angle.

7. Draw a line segment PQ of any length. Using a protractor, draw ∠RPQ = 30° and ∠RQP = 60°.
What is the magnitude of angle ∠PRQ?

8. While making a painting, an artist needs to draw an angle of 30°. How can he draw this angle
using a ruler and a compass?
9. A ship in the Atlantic Ocean is moving towards north ATLANTIC
OCEAN
as shown.
At its marked position on the map, it takes a turn of 60° W N E
to the right. Using a ruler and a compass, draw an angle S
of 60° on the map to locate the country towards which
the ship is heading. Ship

THINK SMART

1. Is it possible to draw an angle of 46° using a ruler and a compass? What is the measure of an
angle which is closest to the given angle and can be drawn using a ruler and a compass?
2. Draw two perpendiculars at both the end points of a 4 cm long line segment. Join the perpendiculars
using a line parallel to the given line segment. Name the closed shape so obtained.

Activity

Draw an angle of measure 45°. Draw two rays in its interior B
to form three angles each of measure 15°, using a ruler and a D
compass only. 15°

[Hint: Draw an angle of 60° and bisect it.] 15° C
15°
O
A

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