GEOMETRY CONSTRUCTION ASSIGNMENT WORK FOR PRACTICE

1. Draw the circumcircle of ∆ ABC in which AB = 5 cm, ∠P = 600, ∠M = 500.

2. Construct the circumcircle of ∆XYZ in which XY = 6 cm, ∠Y = 1000, YZ = 4 cm.

3. Construct the circumcircle of ∆PQR, PQ = 6 cm, ∠P = 700 , ∠M = 500.

4. Construct a right angled ∆ABC, Where AB = 7 cm, ∠BAC = 500, ∠ACB = 900. Draw circumcircle of ∆ABC.

5. Construct the incircle of ∆RST in which RS = 7 cm, ST = 8 cm, RT = 6 cm.

6. Construct the incircle of ∆DEF, DE = EF = DF = 6 cm.

7. Construct the incircle of ∆KLM, KL = 3 cm, LM = 4 cm, KM = 5 cm.

8. Draw incircle of ∆DEF, in which DE = EF = 6 cm, ∠DEF = 800.

9. Draw the incircle of ∆ ABC in which AB = 5 cm, ∠P = 600, ∠M = 500.

10. Construct the incircle of ∆XYZ in which XY = 6 cm, ∠Y = 1000, YZ = 4 cm.

11. Construct the incircle of ∆PQR, PQ = 6 cm, ∠P = 700 , ∠M = 500.

12. Construct a right angled ∆ABC, Where AB = 7 cm, ∠BAC = 500, ∠ACB = 900. Draw incircle of ∆ABC.

13. Construct the circumcircle of ∆RST in which RS = 7 cm, ST = 8 cm, RT = 6 cm.

14. Construct the circumcircle of ∆DEF, DE = EF = DF = 6 cm.

15. Construct the circumcircle of ∆KLM, KL = 3 cm, LM = 4 cm, KM = 5 cm.

16. Draw circumcircle of ∆DEF, in which DE = EF = 6 cm, ∠DEF = 800.

17. Draw a tangent at any point M on the circle of radius 4 cm and centre O.

18. Draw a tangent at any point R on the circle of radius 5 cm and centre P.

19. Draw a circle of radius 3.5 cm. Draw a tangent to the circle from any point on the circle using the centre of the circle.

20. Draw a circle with centre P and radius 5 cm. Draw a chord MN of length 7 cm. Draw tangent to the circle through point M and N.

21. Draw a tangent at any point A on the circle of radius 5 cm and centre P.

22. Draw a tangent at any point Y on the circle of radius 4.5 cm and centre P.

23. Draw a circle of radius 5.4 cm. Draw a tangent to the circle from any point on the circle using the centre of the circle.

24. Draw a circle with centre P and radius 5 cm. Draw a chord MN of length 6 cm. Draw tangent to the circle through point M and N.

25. Draw an angle of ∠500 and bisect it.

26. Draw seg MN = 7 cm and draw a perpendicular bisector of seg MN.

27. Draw an angle of 1250 and bisect it.

28. Draw perpendicular bisector of seg AB of length 9 cm.

29. Draw ∆ ABC with AB = 4 cm, BC = 6.5 cm and ∠ ABC = 800. Draw the circumcircle of ∆ ABC.

30. Draw ∆ PRS with PR = 5.4 cm, RS = 4.5 cm, PS = 6.7 cm. Draw the circumcircle of ∆ PRS.

31. Draw ∆ ABC, with BC = 6 cm, AB = 4.8 cm and AC = 5 cm. Draw the circumcircle of ∆ ABC.

32. Draw ∆ ABC with AB = 4 cm, BC = 6.5 cm and ∠ ABC = 800. Draw the incircle of ∆ ABC.

33. Draw ∆ PRS with PR = 5.4 cm, RS = 4.5 cm, PS = 6.7 cm. Draw the incircle of ∆ PRS.

34. Draw ∆ ABC, with BC = 6 cm, AB = 4.8 cm and AC = 5 cm. Draw the incircle of ∆ ABC.

35. Draw an angle of ∠700 and bisect it.

36. Draw seg MN = 8 cm and draw a perpendicular bisector of seg MN.

37. Draw an angle of 1750 and bisect it.

38. Draw perpendicular bisector of seg AB of length 6.5 cm.

39. Construct ∆ LMN, such that LM = 6 cm, MN = 4 cm, LN = 5 cm.

40. Construct ∆ PQR, such that PQ = 5 cm, ∠ P = ∠ Q = 500.

41. Draw the circumcircle and the incircle of an equilateral triangle, ∆ ABC, with side 6.6 cm.

42. Draw a tangent to a circle with centre O and radius 3.1 cm at any point R on the circle.

43. Draw a circle of radius 3.6 cm. Take any point M on it. Draw a tangent to the circle at M, without using the centre of the circle.

44. Draw a circle of suitable radius. Draw a chord XY of length 4.6 cm. Draw tangents at points X and Y, without using the centre of the circle.

45. Draw a circle with radius 3 cm. Draw a chord AB of length 5 cm. Draw tangent at points A and B, without using the centre of the circle.

46. Construct tangents to the circle with centre A and radius 3.5 cm, from a point B at a distance of 7.6 cm from the centre.

47. Draw tangents to the circle with centre O and radius 5 cm, from a point C at a distance of 8 cm from the centre.

48. Draw a tangent to the circle with centre C and radius 4 cm, from a point B at a distance of 8 cm from the centre.

49. ∆ ABC ∼ ∆ LMN. In ∆ ABC, AB = 5.1 cm, ∠ B = 550, ∠ C = 650 and AC:LN = 3:5, construct ∆LMN.

50. ∆ XYZ ∼ ∆ DEF. In ∆ DEF, DE = 5.5 cm, ∠ E = 400, EF = 4 cm, and XY:DE = 6:5. Construct ∆ XYZ.


51. Construct ∆ ABC in which BC = 4cm, ∠ B = 500, AB = 3.5 cm. ∆ ABC ∼ ∆ PBQ. Construct ∆ PBQ such that BC : BQ = 4 : 7.