1.
Draw the circumcircle of ∆ ABC in which AB = 5 cm, ∠P = 60

^{0}, ∠M = 50^{0}.
2.
Construct the circumcircle of ∆XYZ in which XY = 6 cm, ∠Y = 100

^{0}, YZ = 4 cm.
3.
Construct the circumcircle of ∆PQR, PQ = 6 cm, ∠P = 70

^{0}, ∠M = 50^{0}.
4.
Construct a right angled ∆ABC, Where AB = 7 cm, ∠BAC = 50

^{0}, ∠ACB = 90^{0}. 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 = 80

^{0}.
9.
Draw the incircle of ∆ ABC in which AB = 5 cm, ∠P = 60

^{0}, ∠M = 50^{0}.
10.
Construct the incircle of ∆XYZ in which XY = 6 cm, ∠Y = 100

^{0}, YZ = 4 cm.
11.
Construct the incircle of ∆PQR, PQ = 6 cm, ∠P = 70

^{0}, ∠M = 50^{0}.
12.
Construct a right angled ∆ABC, Where AB = 7 cm, ∠BAC = 50

^{0}, ∠ACB = 90^{0}. 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 = 80

^{0}.
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 ∠50

^{0}and bisect it.
26.
Draw seg MN = 7 cm and draw a perpendicular bisector of seg MN.

27.
Draw an angle of 125

^{0}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
= 80

^{0}. 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
= 80

^{0}. 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 ∠70

^{0}and bisect it.
36.
Draw seg MN = 8 cm and draw a perpendicular bisector of seg MN.

37.
Draw an angle of 175

^{0}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
= 50

^{0}.
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 = 55

^{0}, ∠ C = 65^{0}and AC:LN = 3:5, construct ∆LMN.
50. ∆ XYZ ∼ ∆ DEF. In ∆ DEF, DE = 5.5
cm, ∠ E = 40

^{0}, EF = 4 cm, and XY:DE = 6:5. Construct ∆ XYZ.
51. Construct ∆ ABC in which BC = 4cm, ∠ B = 50

^{0}, AB = 3.5 cm. ∆ ABC ∼ ∆ PBQ. Construct ∆ PBQ such that BC : BQ = 4 : 7.