EduSahara™ Worksheet

Question 1

1.

The exterior angles of the triangle are

(i)

∠GHE , ∠HEF , ∠IFH
(ii)

∠FGD , ∠GDE , ∠HEG
(iii)

∠HGE , ∠IEF , ∠JFG
(iv)

∠IHF , ∠JFG , ∠KGH
(v)

∠GFD , ∠HDE , ∠IEF

Question 2

2.

Find the unknown marked angles in the following figure

(i)

x

=

113°

,

y

=

45°
(ii)

x

=

112°

,

y

=

44°
(iii)

x

=

114°

,

y

=

46°
(iv)

x

=

111°

,

y

=

43°
(v)

x

=

110°

,

y

=

42°

Question 3

3.

The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called

(i)

circumcentre
(ii)

incentre
(iii)

centroid
(iv)

orthocentre
(v)

excentre

Question 4

4.

The point of intersection of the altitudes of a triangle is called

(i)

orthocentre
(ii)

median
(iii)

altitude
(iv)

centroid
(v)

incentre

Question 5

5.

One angle of a triangle measures 55° and the other two angles are in the ratio 9 : 16. Find these angles.

(i)

B

=

43°

,

C

=

78°
(ii)

B

=

44°

,

C

=

79°
(iii)

B

=

45°

,

C

=

80°
(iv)

B

=

47°

,

C

=

82°
(v)

B

=

46°

,

C

=

81°

Question 6

6.

Find the unknown marked angles in the following figure

(i)

x

=

104°

,

y

=

104°
(ii)

x

=

105°

,

y

=

105°
(iii)

x

=

108°

,

y

=

108°
(iv)

x

=

107°

,

y

=

107°
(v)

x

=

106°

,

y

=

106°

Question 7

7.

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

(i)

A

=

18°

,

B

=

80°

,

C

=

82°
(ii)

A

=

22°

,

B

=

80°

,

C

=

78°
(iii)

A

=

18°

,

B

=

82°

,

C

=

80°
(iv)

A

=

20°

,

B

=

80°

,

C

=

80°
(v)

A

=

20°

,

B

=

78°

,

C

=

82°

Question 8

8.

The point of intersection of the medians of a triangle is called

(i)

orthocentre
(ii)

median
(iii)

altitude
(iv)

incentre
(v)

centroid

Question 9

9.

Consider the following figure. State which of the following statements are true

a)

DE
=
EF

b)

DE
≠
EF

c)

EF
=
FD

d)

FD
=
DE

e)

EF
≠
FD

f)

FD
≠
DE

(i)

{f,a,e}
(ii)

{a,b}
(iii)

{b,d,e}
(iv)

{c,d}
(v)

{c,b,d}

Question 10

10.

One of the two equal angles of an isosceles triangle measures 38°. Find the measure of each angle of the triangle.

(i)

A

=

40°

,

B

=

38°

,

C

=

102°
(ii)

A

=

38°

,

B

=

36°

,

C

=

106°
(iii)

A

=

36°

,

B

=

38°

,

C

=

106°
(iv)

A

=

36°

,

B

=

40°

,

C

=

104°
(v)

A

=

38°

,

B

=

38°

,

C

=

104°

Question 11

11.

The altitude corresponding to the side
RP

(i)

RU
(ii)

PQ
(iii)

PT
(iv)

QT
(v)

PS

Question 12

12.

Which of the following are measures of a scalene triangle ?

(i)

EF = 11 cm , FG = 13 cm , GE = 11 cm
(ii)

EF = 13 cm , FG = 13 cm , GE = 18.38 cm
(iii)

EF = 12 cm , FG = 11 cm , GE = 13 cm
(iv)

EF = 12 cm , FG = 15 cm , GE = 12 cm
(v)

EF = 11 cm , FG = 11 cm , GE = 11 cm

Question 13

13.

In the given figure, it is given that HG ∥ JI , ∠HJI = 46° and ∠HGF = 106°. Find the value of x.

(i)

x

=

30°
(ii)

x

=

28°
(iii)

x

=

27°
(iv)

x

=

29°
(v)

x

=

26°

Question 14

14.

Find the unknown marked angles in the following figure

(i)

x

=

112°

,

y

=

153°
(ii)

x

=

114°

,

y

=

155°
(iii)

x

=

111°

,

y

=

152°
(iv)

x

=

115°

,

y

=

156°
(v)

x

=

113°

,

y

=

154°

Question 15

15.

Two angles of a triangle measure 57° and 59° respectively. Find the measure of the third angle of the triangle

(i)

65°
(ii)

64°
(iii)

62°
(iv)

63°
(v)

66°

Question 16

16.

Which of the following are measures of an isosceles triangle ?

(i)

OP = 14 cm , PQ = 13 cm , QO = 19.1 cm
(ii)

OP = 15 cm , PQ = 15 cm , QO = 15 cm
(iii)

OP = 10 cm , PQ = 11 cm , QO = 14 cm
(iv)

OP = 14 cm , PQ = 15 cm , QO = 14 cm
(v)

OP = 15 cm , PQ = 10 cm , QO = 14 cm

Question 17

17.

Find the unknown angles in the following figure

(i)

G

=

55°

,

H

=

55°
(ii)

G

=

53°

,

H

=

53°
(iii)

G

=

54°

,

H

=

54°
(iv)

G

=

56°

,

H

=

56°
(v)

G

=

57°

,

H

=

57°

Question 18

18.

The vertex opposite to the side
HI

(i)

J
(ii)

H
(iii)

I
(iv)

JK

Question 19

19.

Identify the points that are outside the triangle

(i)

{M,P}
(ii)

{P,N}
(iii)

{P,L}
(iv)

{L,O}
(v)

{K,N}

Question 20

20.

The vertex opposite to the side
EF

(i)

FG
(ii)

E
(iii)

D
(iv)

H

Question 21

21.

Which of the following are measures of an isosceles right angled triangle ?

(i)

OP = 15 cm , PQ = 15 cm , QO = 21.21 cm
(ii)

OP = 10 cm , PQ = 20 cm , QO = 14 cm
(iii)

OP = 10 cm , PQ = 13 cm , QO = 12 cm
(iv)

OP = 10 cm , PQ = 10 cm , QO = 10 cm
(v)

OP = 11 cm , PQ = 13 cm , QO = 14 cm

Question 22

22.

Find the angles of the triangle

(i)

B

=

45°

,

C

=

34°

,

D

=

101°
(ii)

B

=

47°

,

C

=

36°

,

D

=

97°
(iii)

B

=

43°

,

C

=

36°

,

D

=

101°
(iv)

B

=

43°

,

C

=

38°

,

D

=

99°
(v)

B

=

45°

,

C

=

36°

,

D

=

99°

Question 23

23.

The angles of a triangle ABC are in the ratio 14 : 6 : 25. Find the measure of each angle of the triangle

(i)

A

=

58°

,

B

=

24°

,

C

=

98°
(ii)

A

=

56°

,

B

=

24°

,

C

=

100°
(iii)

A

=

54°

,

B

=

24°

,

C

=

102°
(iv)

A

=

56°

,

B

=

22°

,

C

=

102°
(v)

A

=

54°

,

B

=

26°

,

C

=

100°

Question 24

24.

Identify the points that are inside the triangle

(i)

{I,L,O}
(ii)

{K,N,Q}
(iii)

{M,I,J}
(iv)

{M,J,K}
(v)

{J,M,P}

Question 25

25.

Find the unknown angle in the following figure

(i)

x

=

46°
(ii)

x

=

43°
(iii)

x

=

44°
(iv)

x

=

47°
(v)

x

=

45°

Assignment Key