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CBSE - Class 9 Mathematics Constructions Worksheet

Construct each of the following and give justification : A triangle PQR given that QR = 3cm, ∠ PQR = 45° and QP – PR = 2 cm.

The construction of a triangle ABC, given that BC = 6 cm, ∠ B = 45° is not possible when difference of AB and AC is equal to:

6.9 cm

5.2 cm

5.0 cm

4.0 cm

Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which BC = 6 cm, ∠C = 30° and AC – AB = 4 cm.

The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to :

3.2 cm

3.1 cm

3 cm

2.8 cm

Construct each of the following and give justification : A right triangle when one side is 3.5 cm and sum of other sides and the hypotenuse is 5.5 cm.

Construct each of the following and give justification : An equilateral triangle if its altitude is 3.2 cm.

Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which AB = 5 cm, ∠A = 45° and BC + AC = 5 cm.

Construct each of the following and give justification : A rhombus whose diagonals are 4 cm and 6 cm in lengths.

With the help of a ruler and a compass it is not possible to construct an angle of :

37.5°

40°

22.5°

67.5°

10.

Write True or False in each of the following. Give reasons for your answer: An angle of 42.5° can be constructed.

11.

Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.

12.

Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.

13.

Write True or False in each of the following. Give reasons for your answer: An angle of 52.5° can be constructed.

14.

Construct a square of side 3 cm.

15.

Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which ∠ B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.

16.

Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.

17.

Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.

18.

Construct each of the following and give justification : A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.

19.

Draw an angle of 80° with the help of a protractor. Then construct angles of (i) 40°

20.

Draw an angle of 80° with the help of a protractor. Then construct angles of (ii) 160°

Worksheet Answers

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