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Constructions Worksheets

1.

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q?

2.

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of ?

3.

Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm?

4.

Construct a tangent to a circle of radius 3 cm at a point P on it without using the centre of the circle?

5.

Construct an isosceles triangle whose base 7 cm and altitude is 3.5 cm?

6.

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths?

7.

Divide a line segment PQ of length 7.2 cm into 5:6 ratio?

8.

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are 3/4 of the corresponding sides of the first triangle?

9.

Construct a triangle similar to a given triangle PQR with PQ = 4cm, QR = 5 cm and PR = 6 cm with its sides equal to 4/5 of the corresponding sides of the triangle PQR?

10.

Divide a line segment AB of length 5 cm into 3:2 ratio

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