EduSahara™ Worksheet

Question 1

1.

Find the measures of the three angles suitable to form a triangle?

(i)

∠F = 66.20° , ∠G = 68.20° , ∠H = 60.60°
(ii)

∠F = 48.80° , ∠G = 79.90° , ∠H = 84.10°
(iii)

∠F = 109.20° , ∠G = 78.80° , ∠H = 39.90°
(iv)

∠F = 88.70° , ∠G = 107.90° , ∠H = 36.80°
(v)

∠F = 57.2° , ∠G = 65.6° , ∠H = 57.2°

Question 2

2.

Find the measures of the three sides suitable to form a triangle?

(i)

HI = 14 cm , IJ = 11 cm , JH = 13 cm
(ii)

HI = 17 cm , IJ = 6 cm , JH = 7 cm
(iii)

HI = 20 cm , IJ = 10 cm , JH = 8 cm
(iv)

HI = 9 cm , IJ = 6 cm , JH = 20 cm
(v)

HI = 19 cm , IJ = 5 cm , JH = 11 cm

Question 3

3.

Find the angles of the triangle

(i)

G

=

38°

,

H

=

54°

,

I

=

88°
(ii)

G

=

36°

,

H

=

54°

,

I

=

90°
(iii)

G

=

34°

,

H

=

54°

,

I

=

92°
(iv)

G

=

36°

,

H

=

52°

,

I

=

92°
(v)

G

=

34°

,

H

=

56°

,

I

=

90°

Question 4

4.

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

a)

GH
=
HF

b)

FG
≠
GH

c)

HF
≠
FG

d)

FG
=
GH

e)

GH
≠
HF

f)

HF
=
FG

(i)

{d,a,f}
(ii)

{c,b,e}
(iii)

{b,e,f}
(iv)

{a,b}
(v)

{c,e}

Question 5

5.

The altitude corresponding to the side
KI

(i)

IL
(ii)

IJ
(iii)

KN
(iv)

IM
(v)

JM

Question 6

6.

Identify the points that are inside the triangle

(i)

{L,O,R}
(ii)

{M,P,S}
(iii)

{N,Q,T}
(iv)

{S,T,P}
(v)

{L,P,S}

Question 7

7.

The side opposite to the vertex
T

(i)

ST
(ii)

US
(iii)

RS
(iv)

RV
(v)

TR

Question 8

8.

In the given figure, if JG = HJ and GK = KI , find the value of x.

(i)

x

=

60.2°
(ii)

x

=

59.2°
(iii)

x

=

57.2°
(iv)

x

=

56.2°
(v)

x

=

58.2°

Question 9

9.

Find the measure of each of the two equal angles of an isosceles right-angled triangle.

(i)

47°
(ii)

45°
(iii)

44°
(iv)

46°
(v)

43°

Question 10

10.

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

a)

HF
≠
FG

b)

FG
=
GH

c)

GH
≠
HF

d)

FG
≠
GH

e)

HF
=
FG

f)

GH
=
HF

(i)

{a,c,d}
(ii)

{e,c}
(iii)

{b,a}
(iv)

{e,a,c}
(v)

{f,b,d}

Question 11

11.

The point of intersection of the bisectors of the interior angles of a triangle is called

(i)

centroid
(ii)

excentre
(iii)

altitude
(iv)

circumcentre
(v)

incentre

Question 12

12.

Which of the following are measures of an equilateral triangle ?

(i)

FG = 13 cm , GH = 12 cm , HF = 14 cm
(ii)

FG = 14 cm , GH = 14 cm , HF = 19.8 cm
(iii)

FG = 11 cm , GH = 11 cm , HF = 11 cm
(iv)

FG = 14 cm , GH = 11 cm , HF = 14 cm
(v)

FG = 10 cm , GH = 13 cm , HF = 16.4 cm

Question 13

13.

In the given figure , if GD ⟂ EF and ∠DEG = 60.21°, find ∠FDG

(i)

17.96°
(ii)

16.96°
(iii)

20.96°
(iv)

19.96°
(v)

18.96°

Question 14

14.

The vertex opposite to the side
QR

(i)

P
(ii)

Q
(iii)

RS
(iv)

T

Question 15

15.

In the given figure, IJ ∥ KL and IK = KM. Find the values of x,y and z.

(i)

x

=

39°

,

y

=

72°

,

z

=

36°
(ii)

x

=

41°

,

y

=

72°

,

z

=

34°
(iii)

x

=

37°

,

y

=

72°

,

z

=

38°
(iv)

x

=

39°

,

y

=

70°

,

z

=

38°
(v)

x

=

37°

,

y

=

74°

,

z

=

36°

Question 16

16.

Find the unknown angle in the following figure

(i)

x

=

48.77°
(ii)

x

=

49.77°
(iii)

x

=

47.77°
(iv)

x

=

46.77°
(v)

x

=

50.77°

Question 17

17.

The line joining each vertex to the mid-point of the opposite side of a triangle is called

(i)

centroid
(ii)

orthocentre
(iii)

incentre
(iv)

median
(v)

excentre

Question 18

18.

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

a)

BC
≠
CA

b)

AB
≠
BC

c)

AB
=
BC

d)

CA
≠
AB

e)

CA
=
AB

f)

BC
=
CA

(i)

{c,e,f}
(ii)

{d,a,f}
(iii)

{b,e}
(iv)

{a,c}
(v)

{b,c,e}

Question 19

19.

The angles of the triangle are

(i)

∠P , ∠Q , ∠S
(ii)

∠Q , ∠R , ∠S
(iii)

∠R , ∠S , ∠T
(iv)

∠P , ∠Q , ∠R
(v)

∠Q , ∠R , ∠T

Question 20

20.

Calculate the value of x in the following figure

(i)

x

=

61.16°
(ii)

x

=

62.16°
(iii)

x

=

60.16°
(iv)

x

=

64.16°
(v)

x

=

63.16°

Question 21

21.

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

(i)

NO = 10 cm , OP = 19 cm , PN = 14 cm
(ii)

NO = 11 cm , OP = 11 cm , PN = 11 cm
(iii)

NO = 12 cm , OP = 13 cm , PN = 14 cm
(iv)

NO = 15 cm , OP = 13 cm , PN = 14 cm
(v)

NO = 13 cm , OP = 13 cm , PN = 18.38 cm

Question 22

22.

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

(i)

LM = 12 cm , MN = 18 cm , NL = 10 cm
(ii)

LM = 15 cm , MN = 15 cm , NL = 21.21 cm
(iii)

LM = 11 cm , MN = 13 cm , NL = 10 cm
(iv)

LM = 13 cm , MN = 13 cm , NL = 13 cm
(v)

LM = 10 cm , MN = 10 cm , NL = 10 cm

Question 23

23.

The vertex opposite to the side
LM

(i)

N
(ii)

L
(iii)

M
(iv)

NO

Question 24

24.

Identify the points that are on the triangle

(i)

{M,P}
(ii)

{Q,M}
(iii)

{N,Q}
(iv)

{M,O}
(v)

{O,R}

Question 25

25.

Which of the following are measures of an isosceles triangle ?

(i)

LM = 15 cm , MN = 13 cm , NL = 19.85 cm
(ii)

LM = 14 cm , MN = 14 cm , NL = 14 cm
(iii)

LM = 10 cm , MN = 15 cm , NL = 13 cm
(iv)

LM = 10 cm , MN = 13 cm , NL = 10 cm
(v)

LM = 14 cm , MN = 15 cm , NL = 12 cm

Assignment Key