CBSE - Class 9 Mathematics Constructions Worksheet
1.
Construct each of the following and give justification : A triangle PQR given that QR = 3cm, ∠ PQR = 45° and QP – PR = 2 cm.
2.
Construct each of the following and give justification : A triangle if its perimeter is 10.4 cm and two angles are 45° and 120°.
3.
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.
4.
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.
5.
Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.
6.
Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.
7.
Draw an angle of 110° with the help of a protractor and bisect it. Measure each angle.
8.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
9.
Write True or False in each of the following. Give reasons for your answer: An angle of 42.5° can be constructed.
10.
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.
11.
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to :
a.
3.2 cm
b.
3.1 cm
c.
3 cm
d.
2.8 cm
12.
Construct a square of side 3 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.
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.
15.
Construct each of the following and give justification : A rhombus whose diagonals are 4 cm and 6 cm in lengths.
16.
Construct a rectangle whose adjacent sides are of lengths 5 cm and 3.5 cm.
17.
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.
18.
Construct each of the following and give justification : An equilateral triangle if its altitude is 3.2 cm.
19.
Draw an angle of 80° with the help of a protractor. Then construct angles of (iii) 120°.
20.
Draw an angle of 80° with the help of a protractor. Then construct angles of (ii) 160°
