EduSahara™ Worksheet

Question 1

1.

In the given figure, find ∠HLK

(i)

141°
(ii)

142°
(iii)

140°
(iv)

143°
(v)

144°

Question 2

2.

In △IJK, if ∠I = 51° and ∠J = 63°, find the measure of ∠K

(i)

K

=

65°
(ii)

K

=

67°
(iii)

K

=

66°
(iv)

K

=

64°
(v)

K

=

68°

Question 3

3.

In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.

(i)

A

=

18°

,

B

=

82°

,

C

=

80°
(ii)

A

=

18°

,

B

=

80°

,

C

=

82°
(iii)

A

=

20°

,

B

=

78°

,

C

=

82°
(iv)

A

=

22°

,

B

=

80°

,

C

=

78°
(v)

A

=

20°

,

B

=

80°

,

C

=

80°

Question 4

4.

In the given figure , if KH ⟂ IJ and ∠HIK = 41.13°, find ∠KJH

(i)

56.51°
(ii)

53.51°
(iii)

57.51°
(iv)

54.51°
(v)

55.51°

Question 5

5.

Which of the following are measures of a scalene triangle ?

(i)

∠L = 60° , ∠M = 60° , ∠N = 60°
(ii)

∠L = 45° , ∠M = 90° , ∠N = 45°
(iii)

∠L = 73.62° , ∠M = 50.13° , ∠N = 56.25°
(iv)

∠L = 50.06° , ∠M = 64.97° , ∠N = 64.97°
(v)

∠L = 70.46° , ∠M = 54.77° , ∠N = 54.77°

Question 6

6.

In the following figure IJ ∥ LK, find the values of x and y.

(i)

x

=

51°

,

y

=

75°
(ii)

x

=

54°

,

y

=

78°
(iii)

x

=

50°

,

y

=

74°
(iv)

x

=

53°

,

y

=

77°
(v)

x

=

52°

,

y

=

76°

Question 7

7.

Which of the following are measures of an acute angled triangle ?

(i)

∠F = 45° , ∠G = 90° , ∠H = 45°
(ii)

∠F = 106.73° , ∠G = 30.11° , ∠H = 43.16°
(iii)

∠F = 47.12° , ∠G = 90° , ∠H = 42.88°
(iv)

∠F = 99.42° , ∠G = 32.86° , ∠H = 47.72°
(v)

∠F = 56.63° , ∠G = 56.63° , ∠H = 66.74°

Question 8

8.

In the given figure, the area of the △GHI is x sq.cm. J,K,L are the mid-points of the sides HI , IG and GH respectively. The area of the △JKL is

(i)
3
4

of area of △GHI
(ii)
1
4

of area of △GHI
(iii)
1
3

of area of △GHI
(iv)
1
2

of area of △GHI
(v)
2
3

of area of △GHI

Question 9

9.

With the data in the figure, △EHF ≅ △FGE by which property?

(i)

not congruent
(ii)

RHS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

SAS Congruency

Question 10

10.

Sum of the interior angles in a triangle is

(i)

185°
(ii)

195°
(iii)

190°
(iv)

180°
(v)

210°

Question 11

11.

Find the unknown angles in the following figure

(i)

E

=

51°

,

F

=

51°
(ii)

E

=

50°

,

F

=

50°
(iii)

E

=

53°

,

F

=

53°
(iv)

E

=

54°

,

F

=

54°
(v)

E

=

52°

,

F

=

52°

Question 12

12.

One angle of a triangle measures 60° and the other two angles are in the ratio 3 : 5. Find these angles.

(i)

B

=

45°

,

C

=

75°
(ii)

B

=

44°

,

C

=

74°
(iii)

B

=

43°

,

C

=

73°
(iv)

B

=

46°

,

C

=

76°
(v)

B

=

47°

,

C

=

77°

Question 13

13.

In the given figure, ∠C = 50.93° and ∠D = 64.04°.

Side DE is produced to F, so that ∠DEC and ∠CEF form a linear pair.

(i)

x

=

31.52°

,

y

=

56.48°
(ii)

x

=

33.52°

,

y

=

58.48°
(iii)

x

=

30.52°

,

y

=

55.48°
(iv)

x

=

32.52°

,

y

=

57.48°
(v)

x

=

34.52°

,

y

=

59.48°

Question 14

14.

The name of the triangle is

(i)

△DEF
(ii)

△BCE
(iii)

△CDF
(iv)

△CDE
(v)

△BCD

Question 15

15.

Which of the following are measures of a scalene triangle ?

(i)

PQ = 10 cm , QR = 10 cm , RP = 14.14 cm
(ii)

PQ = 10 cm , QR = 10 cm , RP = 10 cm
(iii)

PQ = 13 cm , QR = 14 cm , RP = 13 cm
(iv)

PQ = 14 cm , QR = 12 cm , RP = 10 cm

Question 16

16.

In the given figure, △EFG is a triangle in which ∠F = 67.12° and ∠G = 53.25°.

If 'z' is the angle between the bisector of ∠F and ∠G, then find z.

(i)

119.81°
(ii)

121.81°
(iii)

118.81°
(iv)

117.81°
(v)

120.81°

Question 17

17.

Which of the following are measures of an equilateral triangle ?

(i)

MN = 12 cm , NO = 13 cm , OM = 12 cm
(ii)

MN = 13 cm , NO = 10 cm , OM = 16.4 cm
(iii)

MN = 13 cm , NO = 13 cm , OM = 13 cm
(iv)

MN = 12 cm , NO = 11 cm , OM = 14 cm
(v)

MN = 14 cm , NO = 14 cm , OM = 19.8 cm

Question 18

18.

With the data in the figure, △FGI ≅ △HGI by which property?

(i)

not congruent
(ii)

SAS Congruency
(iii)

SSS Congruency
(iv)

ASA Congruency
(v)

RHS Congruency

Question 19

19.

Identify the property by which the two given triangles are congruent

(i)

SAS Congruency
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency

Question 20

20.

With the given data in the figure, △KJM ≅ △LIM by which property?

(i)

SSS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SAS Congruency

Question 21

21.

With the data in the figure, △LOM ≅ △NOM by which property?

(i)

SSS Congruency
(ii)

not congruent
(iii)

ASA Congruency
(iv)

SAS Congruency
(v)

RHS Congruency

Question 22

22.

Find the unknown angle from the following figure

(i)

x

=

58.1°
(ii)

x

=

60.1°
(iii)

x

=

57.1°
(iv)

x

=

56.1°
(v)

x

=

59.1°

Question 23

23.

With the data in the given figure, △HKO ≅ △IJO by which property?

(i)

RHS Congruency
(ii)

not congruent
(iii)

SAS Congruency
(iv)

ASA Congruency
(v)

SSS Congruency

Question 24

24.

In the given figure, if HK = LH, find the values of x , y , z and t

(i)

x =62.34°, y =26.38°, z =25.98° , t =121.17°
(ii)

x =62.34°, y =28.38°, z =27.98° , t =121.17°
(iii)

x =62.34°, y =26.38°, z =26.98° , t =122.17°
(iv)

x =62.34°, y =24.38°, z =23.98° , t =121.17°
(v)

x =62.34°, y =26.38°, z =24.98° , t =120.17°

Question 25

25.

The ratio between the base angle and the vertical angle of an isosceles triangle is 1 : 1. Find each angle of the triangle

(i)

A

=

60°

,

B

=

58°

,

C

=

62°
(ii)

A

=

58°

,

B

=

62°

,

C

=

60°
(iii)

A

=

60°

,

B

=

60°

,

C

=

60°
(iv)

A

=

62°

,

B

=

60°

,

C

=

58°
(v)

A

=

58°

,

B

=

60°

,

C

=

62°

Assignment Key