CBSE Class 10 Constructions Sure Shot Questions

CBSE Class 10 Constructions Sure Shot Questions. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations.  Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

1. Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 5.5 cm from its centre.

2. Construct a similar DABC such that each of its side is 2 /3  of the corresponding sides of DABC. It is given that AB = 5 cm, AC = 6cm and BC = 7cm.

3. Draw a line segment AB of length 4.4cm. Taking A as centre, draw a circle of radius 2cm and taking B as centre, draw another circle of radius 2.2cm. Construct tangents to each circle from the centre of the other circle.

4. Draw a pair of tangents to a circle of radius 2 cm that are inclined to each other at an angle of 90⁰.

5. Draw a pair of tangents to a circle of radius 3 cm that are inclined to each other at an angle of 50⁰.

6. Construct a tangent to a circle of radius 2 cm from a point on the concentric circle of radius 2.6cm and measure its length. Also, verify the measurements by actual calculations.

7. Construct an isosceles triangle whose base is 7 cm and altitude 4 cm and then construct another similar triangle whose sides are 3 /2  time the corresponding sides of the isosceles triangle.

8. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 1 (1 /2) times the corresponding sides of the isosceles triangle.

9. Draw a triangle ABC with side BC = 6 cm, AB = 5 cm and <ABC = 60°. Then construct a triangle whose sides are 3 /4 of the corresponding sides of the triangle ABC.

10. Draw a triangle ABC with side BC = 7 cm, <B = 45°, <A = 105°. Then, construct a triangle whose sides are 4/3  times the corresponding sides of DABC.

11. Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5 /3  times the corresponding sides of the given triangle.

12. Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this point to the circle.

13. 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.

14. Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also verify the measurement by actual calculation.

15. 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.

16. Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

17. Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

18. Draw a circle of radius 5cm. Take a point P on it. Without using the centre of the circle, construct a tangent at the point P. Write the steps of construction also.

19. Draw a circle of diameter 12cm. From a point P, 10cm away from its centre, construct a pair of tangent to the circle. Measure the lengths of the tangent segments.

20. Draw a circle of radius 5cm. from a point P, 7cm away from its centre, construct a pair of tangents to the circle. Measure the length of the tangent segments.

21. Draw a circle of radius 7cm. From a point P, 8cm away from its centre, Construct a pair tangents to the circle. Measure the length of the tangent segments.

22. Draw a right angled triangle ABC with AB = 4.5cm, AC = 7.5cm and ∠B = 900. Construct its incircle. Write the steps of construction.

23. Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius.

24. Construct a triangle ABC in which AB = 3cm, BC = 4cm and AC = 5cm. Draw the circumcircle of triangle ABC.

25. Construct the circumcircle of an equilateral triangle with side 6cm. Write the steps of construction.

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