## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 13 Practical Geometry Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) A ruler is used to draw line and to measure their …………

(ii) A divider is sued to compare …………

(iii) A compass is used to draw circles or arcs of …………

(iv) A protractor is used to draw and measure …………

(v) The set squares are two triangular pieces having angles of ………… and …………

(vi) To bisect a line segment of length 7 cm, the opening of the’ compass should be more than …………

(vii) The perpendicular bisector of a line segment is also its line of …………

Solution:

(i) A ruler is used to draw line segments and to measure their lengths.

(ii) A divider is sued to compare lengths of line segment.

(iii) A compass is used to draw circles or arcs of circles.

(iv) A protractor is used to draw and measure angles.

(v) The set squares are two triangular pieces having angles of

30°, 60°, 90° and 45°, 45°, 90°.

(vi) To bisect a line segment of length 7 cm,

the opening of the compass should be more than 3.5 cm.

(vii) The perpendicular bisector of a line segment is also its line of symmetry.

Question 2.

State whether the following statements are true (T) or false (F):

(i) There is only one set square in a geometry box.

(ii) An angle can be copied with the help of a ruler and compass.

(iii) The perpendicular bisector of a line segment can be drawn by paper folding.

(iv) Perpendicular to a line from a given point not on it can be drawn by paper folding.

(v) A 45° – 45° – 90° set square and a protractor have the same number of line(s) of symmetry.

Solution:

(i) There is only one set square in a geometry box. False

(ii) An angle can be copied with the help of a ruler and compass. True

(iii) The perpendicular bisector of a line segment

can be drawn by paper folding. True

(iv) Perpendicular to a line from a given point not on it

can be drawn by paper folding. True

(v) A 45° – 45° – 90° set square and a protractor have

the same number of line(s) of symmetry. True

**Multiple Choice Questions**

**Choose the correct answer from the given four options (3 to 13):**

Question 3.

A circle of any radius can be constructed with the help of a:

(a) ruler

(b) divider

(c) compass

(d) protractor

Solution:

compass (c)

Question 4.

The instrument in a geometry box having the shape of a semicircle is :

(a) ruler

(b) divider

(c) compass

(d) protractor

Solution:

protractor (d)

It is used to draw or measure angles.

Question 5.

The instrument to measure an angle is

(a) ruler

(b) protractor.

(c) divider

(d) compass

Solution:

protractor (b)

Question 6.

Which of the following angles cannot be constructed using ruler and compas?

(a) 15°

(b) 45°

(c) 75°

(d) 85°

Solution:

85° (d)

Question 7.

The number of perpendiculars that can be drawn to a line from a point not on it is

(a) 1

(b) 2

(c) 4

(d) infinitely many

Solution:

1 (a)

Question 8.

The number of perpendicular bisectors that can be drawn of a given line segment is :

(a) 0

(b) 1

(c) 2

(d) infinitely many

Solution:

1 (b)

Question 9.

The number of lines of symmetry in a picture of a divider is:The number of lines of symmetry in a picture of compass is

(a) 0

(b) 1

(c) 2

(d) 4

Solution:

1 (b)

Question 10.

The number of lines of symmetry in a picture of compass is

(a) 0

(b) 1

(c) 2

(d) none of these

Solution:

0 (a)

Question 11.

The number of lines of symmetry in a ruler is

(a) 0

(b) 1

(c) 2

(d) 4

Solution:

2 (c)

Question 12.

The number of lines of symmetry in a 30° – 60° – 90° set square is

(a) 0

(b) 1

(c) 2

(d) 3

Solution:

0 (a)

Question 13.

The number of lines of symmetry in a protractor is

(a) 0

(b) 1

(c) 2

(d) more than 2

Solution:

1 (b)