Page 1 - Worksheet- Construction

SAI International School
CLASS - IX
Mathematics
CHAPTER- 11: Construction

WORKSHEET
1 Which of the following angles can be constructed using ruler and 1
compass?
a. 35 b. 40 c. 90 d. 50

2 If a, b and c are the lengths of three sides of a triangle, then: 1

a. a+b>c b. a-b>c c. a+b=c d. a-b=c

3 To construct a bisector of a given angle, we need: 1
a. A ruler b. A compass c. A protractor d. Both ruler and
compass

4 To construct an angle of 60 degrees, we need to draw first: 1
a. A ray b. An arc c. Two rays d. A straight line

5 The construction of the triangle ABC is possible if it is given that BC = 4 1
cm, ∠C = 60° and the difference of AB and AC is
(a) 3.5 cm (b) 4.5 cm (c) 3 cm (d) 2.5 cm
6 Draw 90 degree and draw the angle bisector. 1

7 1
Draw 75 degree and draw the angle bisector.
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8 Draw an angle of 110 with the help of a protractor and bisect it. Also, 2
write the steps of Construction.
9 Construct an isosceles triangle whose base = 7.5 cm and the vertical 2
angle is twice each of its base angles.
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10 Draw an angle of 135 . 2
11 Construct a triangle ABC with the following dimensions: 3
B = 30 , BC = 5 cm and AB - CA = 2.5 cm
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12 Construct a triangle whose base is 6 cm and the sum of the other two 3
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sides is 10 cm and one base angle is 30 .
13 Given: Base BC = 7.5 cm the difference of the other two sides AB - AC 3
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or AC - AB = 2.5 cm and one base angle 45 .
14 Construct a triangle when its base is 5 cm, sum of other two sides is 7 4
cm and one of the base angles is 60 . Justify the Construction. Write the
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steps of construction.
15 Construct a triangle ABC, whose perimeter is 12 cm and the base angles 4
are 60 and 75 .
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