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.
