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CBSE - Class 9 Mathematics Constructions Worksheet

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.

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

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

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

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

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

Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.

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°

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.

10.

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.

11.

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

12.

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

13.

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

14.

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

15.

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

16.

Draw a line segment AB of 4 cm in length. Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel?

17.

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

18.

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

19.

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

20.

Construct a square of side 3 cm.

Worksheet Answers

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