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BOOK 6 ( CBSE ) / Chap 14 / Practical Geometry
Chapter Facts :
1. Using the ruler and compass only , the following constructions can be made:

line segment, if its length is given.

copy of a line segment.

perpendicular to a given line through a point on / not on the line.

perpendicular bisector of a line segment of given length.

copy of an angle.

bisector of a given angle.

angles of special measures such as 90 o , 45 o , 60 o , 30 o , 120 o , 135 o ( multiples
of 15 o )

circle, when its radius is given.
2. An angle of a given measure can be made using a protractor and a scale.
3. Set squares can be used to

make a line perpendicular to a given line through a point on / not on the line.

check if two given lines are perpendicular / parallel.

make a line parallel to a given line through a point not on the line.

make angles with measures in multiples of 15 o.
4. A divider is generally used to check the lengths of line segments.
Formative Assessment
A ) Multiple Choice Questions.
In each of the following tick the correct option.
1. The instrument to draw a circle is
(a) ruler
(b) protractor (c) set square (d) compasses
2. The number of lines of symmetry in a ruler is
(a) 0
(b) 1
(c) 2
(d) 4
3. The number of lines of symmetry in compasses is
(a) 0
(b) 1
(c) 2
(d) 3
4. The number of lines of symmetry in a 45o - 90o - 45o set-square is
(a) 0
(b) 1
(c) 2
(d) 3
5. The instrument in the geometry box having the shape of a triangle
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is called a
(a) protractor
(b) compasses (c) divider
(d) set-square
6. An instrument used to measure an angle is a
(a) ruler
(b) protractor
(c) divider
(d) compasses
7. Number of set squares in the geometry box is
(a) 3
(b) 2
(c) 1
(d) 0
8. The number of lines of symmetry in a divider is
(a) 3
(b) 2
(c) 1
(d) 0
9. The number of lines of symmetry in a protractor is
(a) 3
(b) 2
(c) 1
(d) 0
10. The number of lines of symmetry in a 30o - 90o - 60o set square is
(a) 3
(b) 2
(c) 1
(d) 0
B ) True false
Say true or false for each of the following.
1. Infinitely many perpendiculars can be drawn to a given ray.
T/F
2. Using only one set-squares an angle of 15o can be drawn.
T/F
3. Two perpendiculars can be drawn to a given line from a point not lying on it.
T/F
4. A 45o - 45o - 90o set-square and a protractor have the same number of lines of
symmetry.
T/F
5. With a given centre and a given radius, only one circle can be drawn.
T/F
Summative Assessment
1 mark questions.
1. Construct AB = 4.5 cm using a ruler.
2. Draw  to l at A using set square.
3. Draw an angle of 60using ruler and compass.
4. Draw an angle of 30using ruler and a set square.
5. Draw a circle of radius 2 cm.
2 mark questions :
1. Draw  XYZ equal to  ABC using ruler and compass.
2. Draw  to l from B using ruler and compass.
3. Draw an angle of 120 using ruler and a set square.
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4. Draw an angle of 120 using ruler and compass.
5. Draw an angle of 65o and draw an angle equal to this angle, using ruler and compasses.
3 mark q’s
1. Draw an angle of 75 using ruler and set squares.
2. Draw  ABC = 2  XYZ using ruler and compass.
3. Draw a line segment of length 6.4 cm and divide it into four equal parts, using ruler
and compasses.
4. Draw an angle of 45 using ruler and compass.
5. Draw an angle of 80o using a protractor and divide it into four equal parts, using ruler
and compasses. Check your construction by measurement.
4 mark q’s
1. Draw an angle of 75 using ruler and compass.
2. Draw a circle of radius 6cm using ruler and compasses. Draw one of its diameters.
Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain
another diameter of the circle?
3. Draw a right angle using a protractor. Bisect a right angle, using ruler and compasses.
Measure each part. Bisect each of these parts. What will be the measure of each of these
parts?
End ……………..
ANSWERS
Formative
MCQ’s
1
d
2
c
3
a
4
b
5
d
6
b
7
b
8
c
9
c
10
d
2
F
3
F
4
T
5
T
True False
1
T
END
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