EduSahara™ Worksheet

Question 1

1.

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

a)

GH
≠
HF

b)

HF
≠
FG

c)

FG
=
GH

d)

HF
=
FG

e)

GH
=
HF

f)

FG
≠
GH

(i)

{a,c}
(ii)

{b,d}
(iii)

{c,d,e}
(iv)

{f,a,e}
(v)

{b,c,d}

Question 2

2.

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)

HF
=
FG

f)

GH
=
HF

(i)

{c,a}
(ii)

{d,a,b}
(iii)

{a,b,e}
(iv)

{f,c,e}
(v)

{d,b}

Question 3

3.

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

a)

JK
=
KL

b)

LJ
≠
JK

c)

KL
≠
LJ

d)

KL
=
LJ

e)

LJ
=
JK

f)

JK
≠
KL

(i)

{b,c,f}
(ii)

{d,c}
(iii)

{a,b}
(iv)

{e,a,f}
(v)

{d,b,c}

Question 4

4.

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

a)	∠E ≠ ∠F
b)	∠E = ∠F
c)	∠F = ∠G
d)	∠G = ∠E
e)	∠F ≠ ∠G
f)	∠G ≠ ∠E

(i)

{b,c,d}
(ii)

{f,a,d}
(iii)

{a,b}
(iv)

{e,b,c}
(v)

{e,c}

Question 5

5.

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

a)	∠J ≠ ∠H
b)	∠J = ∠H
c)	∠I ≠ ∠J
d)	∠I = ∠J
e)	∠H ≠ ∠I
f)	∠H = ∠I

(i)

{c,d}
(ii)

{a,d,e}
(iii)

{b,a}
(iv)

{f,b,e}
(v)

{c,a,d}

Question 6

6.

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

a)	∠E = ∠F
b)	∠F = ∠G
c)	∠G ≠ ∠E
d)	∠G = ∠E
e)	∠F ≠ ∠G
f)	∠E ≠ ∠F

(i)

{b,e}
(ii)

{d,a,f}
(iii)

{a,c}
(iv)

{b,c,e}
(v)

{c,e,f}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
(ii)

OP = 11 cm , PQ = 14 cm , QO = 11 cm
(iii)

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

OP = 12 cm , PQ = 15 cm , QO = 19.21 cm
(v)

OP = 10 cm , PQ = 11 cm , QO = 13 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

CD = 13 cm , DE = 12 cm , EC = 17.69 cm
(ii)

CD = 15 cm , DE = 10 cm , EC = 15 cm
(iii)

CD = 10 cm , DE = 12 cm , EC = 11 cm
(iv)

CD = 12 cm , DE = 12 cm , EC = 12 cm
(v)

CD = 11 cm , DE = 13 cm , EC = 10 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

KL = 10 cm , LM = 12 cm , MK = 10 cm
(ii)

KL = 11 cm , LM = 11 cm , MK = 15.56 cm
(iii)

KL = 13 cm , LM = 15 cm , MK = 10 cm
(iv)

KL = 11 cm , LM = 15 cm , MK = 11 cm
(v)

KL = 12 cm , LM = 12 cm , MK = 12 cm

Question 10

10.

Which of the following are measures of a right angled triangle ?

(i)

NO = 14 cm , OP = 18 cm , PN = 11 cm
(ii)

NO = 11 cm , OP = 10 cm , PN = 14.87 cm
(iii)

NO = 11 cm , OP = 12 cm , PN = 12 cm
(iv)

NO = 10 cm , OP = 10 cm , PN = 10 cm
(v)

NO = 13 cm , OP = 15 cm , PN = 10 cm

Question 11

11.

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

(i)

JK = 14 cm , KL = 14 cm , LJ = 19.8 cm
(ii)

JK = 11 cm , KL = 20 cm , LJ = 15 cm
(iii)

JK = 12 cm , KL = 12 cm , LJ = 12 cm
(iv)

JK = 13 cm , KL = 11 cm , LJ = 13 cm
(v)

JK = 13 cm , KL = 11 cm , LJ = 14 cm

Question 12

12.

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

(i)

GH = 11 cm , HI = 11 cm , IG = 15.56 cm
(ii)

GH = 13 cm , HI = 23 cm , IG = 12 cm
(iii)

GH = 13 cm , HI = 23 cm , IG = 15 cm
(iv)

GH = 11 cm , HI = 11 cm , IG = 12 cm
(v)

GH = 15 cm , HI = 13 cm , IG = 19.85 cm

Question 13

13.

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

(i)

CD = 14 cm , DE = 12 cm , EC = 10 cm
(ii)

CD = 10 cm , DE = 19 cm , EC = 10 cm
(iii)

CD = 15 cm , DE = 15 cm , EC = 21.21 cm
(iv)

CD = 13 cm , DE = 15 cm , EC = 11 cm
(v)

CD = 10 cm , DE = 12 cm , EC = 15.62 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

JK = 13 cm , KL = 13 cm , LJ = 13 cm
(ii)

JK = 15 cm , KL = 15 cm , LJ = 21.21 cm
(iii)

JK = 15 cm , KL = 12 cm , LJ = 19.21 cm
(iv)

JK = 10 cm , KL = 11 cm , LJ = 10 cm
(v)

JK = 13 cm , KL = 15 cm , LJ = 11 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

IJ = 13 cm , JK = 15 cm , KI = 13 cm
(ii)

IJ = 10 cm , JK = 14 cm , KI = 17.2 cm
(iii)

IJ = 11 cm , JK = 11 cm , KI = 11 cm
(iv)

IJ = 14 cm , JK = 10 cm , KI = 11 cm
(v)

IJ = 14 cm , JK = 12 cm , KI = 10 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

KL = 10 cm , LM = 10 cm , MK = 10 cm
(ii)

KL = 14 cm , LM = 11 cm , MK = 14 cm
(iii)

KL = 13 cm , LM = 15 cm , MK = 11 cm
(iv)

KL = 10 cm , LM = 10 cm , MK = 14.14 cm
(v)

KL = 14 cm , LM = 15 cm , MK = 14 cm

Question 17

17.

Which of the following are measures of a right angled triangle ?

(i)

AB = 14 cm , BC = 12 cm , CA = 13 cm
(ii)

AB = 13 cm , BC = 15 cm , CA = 19.85 cm
(iii)

AB = 13 cm , BC = 15 cm , CA = 14 cm
(iv)

AB = 11 cm , BC = 11 cm , CA = 11 cm
(v)

AB = 11 cm , BC = 19 cm , CA = 13 cm

Question 18

18.

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

(i)

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

NO = 12 cm , OP = 12 cm , PN = 11 cm
(iii)

NO = 11 cm , OP = 14 cm , PN = 10 cm
(iv)

NO = 13 cm , OP = 22 cm , PN = 13 cm
(v)

NO = 12 cm , OP = 12 cm , PN = 16.97 cm

Question 19

19.

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

(i)

DE = 13 cm , EF = 14 cm , FD = 19.1 cm
(ii)

DE = 10 cm , EF = 10 cm , FD = 14.14 cm
(iii)

DE = 15 cm , EF = 14 cm , FD = 15 cm
(iv)

DE = 14 cm , EF = 22 cm , FD = 11 cm
(v)

DE = 15 cm , EF = 23 cm , FD = 13 cm

Question 20

20.

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

(i)

CD = 12 cm , DE = 14 cm , EC = 12 cm
(ii)

CD = 15 cm , DE = 10 cm , EC = 18.03 cm
(iii)

CD = 15 cm , DE = 15 cm , EC = 21.21 cm
(iv)

CD = 14 cm , DE = 11 cm , EC = 11 cm
(v)

CD = 15 cm , DE = 22 cm , EC = 13 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠C = 45° , ∠D = 90° , ∠E = 45°
(ii)

∠C = 52.43° , ∠D = 90° , ∠E = 37.57°
(iii)

∠C = 71.38° , ∠D = 54.31° , ∠E = 54.31°
(iv)

∠C = 59.41° , ∠D = 67.97° , ∠E = 52.62°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠O = 66.74° , ∠P = 56.63° , ∠Q = 56.63°
(ii)

∠O = 46.95° , ∠P = 71.79° , ∠Q = 61.26°
(iii)

∠O = 59.3° , ∠P = 52.02° , ∠Q = 68.68°
(iv)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(v)

∠O = 38.66° , ∠P = 90° , ∠Q = 51.34°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠P = 85.98° , ∠Q = 47.01° , ∠R = 47.01°
(ii)

∠P = 66.74° , ∠Q = 56.63° , ∠R = 56.63°
(iii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 76.33° , ∠Q = 55.3° , ∠R = 48.37°

Question 24

24.

Which of the following are measures of a right angled triangle ?

(i)

∠G = 94.94° , ∠H = 48.35° , ∠I = 36.71°
(ii)

∠G = 73.62° , ∠H = 56.25° , ∠I = 50.13°
(iii)

∠G = 55.3° , ∠H = 48.37° , ∠I = 76.33°
(iv)

∠G = 60° , ∠H = 60° , ∠I = 60°
(v)

∠G = 42.27° , ∠H = 90° , ∠I = 47.73°

Question 25

25.

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

(i)

∠B = 116.39° , ∠C = 35.75° , ∠D = 27.86°
(ii)

∠B = 72.62° , ∠C = 62.96° , ∠D = 44.42°
(iii)

∠B = 60° , ∠C = 60° , ∠D = 60°
(iv)

∠B = 45° , ∠C = 90° , ∠D = 45°
(v)

∠B = 85.46° , ∠C = 52.89° , ∠D = 41.65°

Question 26

26.

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

(i)

∠L = 45° , ∠M = 90° , ∠N = 45°
(ii)

∠L = 66.42° , ∠M = 66.42° , ∠N = 47.16°
(iii)

∠L = 100.8° , ∠M = 35.3° , ∠N = 43.9°
(iv)

∠L = 39.81° , ∠M = 90° , ∠N = 50.19°
(v)

∠L = 122.84° , ∠M = 24.84° , ∠N = 32.32°

Question 27

27.

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

(i)

∠H = 46.97° , ∠I = 90° , ∠J = 43.03°
(ii)

∠H = 64.32° , ∠I = 64.32° , ∠J = 51.36°
(iii)

∠H = 53.13° , ∠I = 53.13° , ∠J = 73.74°
(iv)

∠H = 45° , ∠I = 90° , ∠J = 45°
(v)

∠H = 95.74° , ∠I = 33.56° , ∠J = 50.7°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠K = 60° , ∠L = 60° , ∠M = 60°
(ii)

∠K = 35.54° , ∠L = 90° , ∠M = 54.46°
(iii)

∠K = 41.8° , ∠L = 47.16° , ∠M = 91.04°
(iv)

∠K = 45° , ∠L = 90° , ∠M = 45°
(v)

∠K = 73.74° , ∠L = 53.13° , ∠M = 53.13°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠N = 54.56° , ∠O = 62.72° , ∠P = 62.72°
(ii)

∠N = 69.98° , ∠O = 48.74° , ∠P = 61.28°
(iii)

∠N = 60° , ∠O = 60° , ∠P = 60°
(iv)

∠N = 50.19° , ∠O = 90° , ∠P = 39.81°
(v)

∠N = 44.42° , ∠O = 72.62° , ∠P = 62.96°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 45° , ∠G = 90° , ∠H = 45°
(ii)

∠F = 72.44° , ∠G = 53.78° , ∠H = 53.78°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 59.49° , ∠G = 53.13° , ∠H = 67.38°
(v)

∠F = 50.06° , ∠G = 64.97° , ∠H = 64.97°

Question 31

31.

Which of the following are measures of a right angled triangle ?

(i)

∠A = 40.24° , ∠B = 90° , ∠C = 49.76°
(ii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iii)

∠A = 134.18° , ∠B = 19.19° , ∠C = 26.63°
(iv)

∠A = 91.04° , ∠B = 47.16° , ∠C = 41.8°
(v)

∠A = 49.46° , ∠B = 49.46° , ∠C = 81.08°

Question 32

32.

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

(i)

∠N = 133.5° , ∠O = 20.3° , ∠P = 26.2°
(ii)

∠N = 45° , ∠O = 90° , ∠P = 45°
(iii)

∠N = 46.46° , ∠O = 81.28° , ∠P = 52.26°
(iv)

∠N = 60° , ∠O = 60° , ∠P = 60°
(v)

∠N = 69.07° , ∠O = 41.85° , ∠P = 69.08°

Question 33

33.

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

(i)

∠H = 65.37° , ∠I = 65.38° , ∠J = 49.25°
(ii)

∠H = 45° , ∠I = 90° , ∠J = 45°
(iii)

∠H = 130.54° , ∠I = 22.33° , ∠J = 27.13°
(iv)

∠H = 53.75° , ∠I = 90° , ∠J = 36.25°
(v)

∠H = 116.39° , ∠I = 27.86° , ∠J = 35.75°

Question 34

34.

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

(i)

∠B = 43.03° , ∠C = 90° , ∠D = 46.97°
(ii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iii)

∠B = 56.63° , ∠C = 56.63° , ∠D = 66.74°
(iv)

∠B = 115.37° , ∠C = 29.53° , ∠D = 35.1°
(v)

∠B = 60° , ∠C = 60° , ∠D = 60°

Question 35

35.

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

(i)

MN = 10 cm , NO = 16 cm , OM = 5 cm
(ii)

MN = 5 cm , NO = 17 cm , OM = 11 cm
(iii)

MN = 19 cm , NO = 10 cm , OM = 8 cm
(iv)

MN = 6 cm , NO = 8 cm , OM = 20 cm
(v)

MN = 14 cm , NO = 10 cm , OM = 10 cm

Question 36

36.

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

(i)

∠C = 62.60° , ∠D = 99.70° , ∠E = 32.90°
(ii)

∠C = 83.70° , ∠D = 100.10° , ∠E = 66.40°
(iii)

∠C = 106.80° , ∠D = 36.20° , ∠E = 48.90°
(iv)

∠C = 65.60° , ∠D = 83.30° , ∠E = 78.40°
(v)

∠C = 50.06° , ∠D = 64.97° , ∠E = 64.97°

Assignment Key