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Free CBSE - Class 9 Mathematics - Constructions worksheets

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1.

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

1.

37.5°

2.

40°

3.

22.5°

4.

67.5°

2.

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:

1.

6.9 cm

2.

5.2 cm

3.

5.0 cm

4.

4.0 cm

3.

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

1.

3.2 cm

2.

3.1 cm

3.

3 cm

4.

2.8 cm

4.
Write True or False in each of the following. Give reasons for your answer: An angle of 52.5° can be constructed.
5.
Write True or False in each of the following. Give reasons for your answer: An angle of 42.5° can be constructed.
6.
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.
7.
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.
8.
Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which ∠ B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
9.
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.
10.
Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.
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