EduSahara™ Worksheet

Question 1

1.

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

a)

HI
=
IJ

b)

JH
≠
HI

c)

IJ
≠
JH

d)

HI
≠
IJ

e)

IJ
=
JH

f)

JH
=
HI

(i)

{a,e,f}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{c,a,e}
(v)

{d,b,f}

Question 2

2.

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

a)

PN
=
NO

b)

OP
≠
PN

c)

PN
≠
NO

d)

NO
=
OP

e)

NO
≠
OP

f)

OP
=
PN

(i)

{d,a,b}
(ii)

{f,c,e}
(iii)

{d,b}
(iv)

{c,a}
(v)

{a,b,e}

Question 3

3.

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

a)

NO
=
OP

b)

PN
≠
NO

c)

PN
=
NO

d)

NO
≠
OP

e)

OP
=
PN

f)

OP
≠
PN

(i)

{b,d,f}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{e,a,f}
(v)

{c,b,d}

Question 4

4.

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

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

(i)

{b,a}
(ii)

{d,a,c}
(iii)

{d,c}
(iv)

{a,c,e}
(v)

{f,b,e}

Question 5

5.

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

a)	∠C = ∠D
b)	∠D ≠ ∠B
c)	∠D = ∠B
d)	∠B ≠ ∠C
e)	∠B = ∠C
f)	∠C ≠ ∠D

(i)

{c,a}
(ii)

{e,a,b}
(iii)

{a,b,d}
(iv)

{e,b}
(v)

{f,c,d}

Question 6

6.

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

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

(i)

{a,b,c}
(ii)

{d,a}
(iii)

{f,d,c}
(iv)

{e,b}
(v)

{e,a,b}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

PQ = 15 cm , QR = 10 cm , RP = 18.03 cm
(ii)

PQ = 14 cm , QR = 15 cm , RP = 12 cm
(iii)

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

PQ = 11 cm , QR = 12 cm , RP = 11 cm
(v)

PQ = 14 cm , QR = 14 cm , RP = 19.8 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

PQ = 11 cm , QR = 15 cm , RP = 18.6 cm
(ii)

PQ = 13 cm , QR = 10 cm , RP = 14 cm
(iii)

PQ = 10 cm , QR = 11 cm , RP = 10 cm
(iv)

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

PQ = 15 cm , QR = 10 cm , RP = 12 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

EF = 14 cm , FG = 11 cm , GE = 14 cm
(ii)

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

EF = 15 cm , FG = 15 cm , GE = 21.21 cm
(iv)

EF = 12 cm , FG = 15 cm , GE = 11 cm
(v)

EF = 12 cm , FG = 15 cm , GE = 12 cm

Question 10

10.

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

(i)

LM = 10 cm , MN = 14 cm , NL = 17.2 cm
(ii)

LM = 15 cm , MN = 20 cm , NL = 12 cm
(iii)

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

LM = 10 cm , MN = 15 cm , NL = 11 cm
(v)

LM = 12 cm , MN = 12 cm , NL = 12 cm

Question 11

11.

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

(i)

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

MN = 11 cm , NO = 10 cm , OM = 13 cm
(iii)

MN = 15 cm , NO = 23 cm , OM = 12 cm
(iv)

MN = 13 cm , NO = 13 cm , OM = 18.38 cm
(v)

MN = 15 cm , NO = 15 cm , OM = 15 cm

Question 12

12.

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

(i)

JK = 12 cm , KL = 18 cm , LJ = 10 cm
(ii)

JK = 14 cm , KL = 20 cm , LJ = 13 cm
(iii)

JK = 13 cm , KL = 10 cm , LJ = 16.4 cm
(iv)

JK = 13 cm , KL = 13 cm , LJ = 18.38 cm
(v)

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

Question 13

13.

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

(i)

NO = 13 cm , OP = 14 cm , PN = 14 cm
(ii)

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

NO = 15 cm , OP = 10 cm , PN = 15 cm
(iv)

NO = 13 cm , OP = 13 cm , PN = 18.38 cm
(v)

NO = 11 cm , OP = 21 cm , PN = 14 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

AB = 12 cm , BC = 15 cm , CA = 12 cm
(ii)

AB = 13 cm , BC = 12 cm , CA = 10 cm
(iii)

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

AB = 11 cm , BC = 13 cm , CA = 17.03 cm
(v)

AB = 12 cm , BC = 12 cm , CA = 16.97 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

LM = 13 cm , MN = 11 cm , NL = 15 cm
(ii)

LM = 11 cm , MN = 15 cm , NL = 12 cm
(iii)

LM = 10 cm , MN = 14 cm , NL = 10 cm
(iv)

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

LM = 10 cm , MN = 12 cm , NL = 15.62 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

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

AB = 15 cm , BC = 12 cm , CA = 10 cm
(iii)

AB = 13 cm , BC = 10 cm , CA = 13 cm
(iv)

AB = 12 cm , BC = 13 cm , CA = 12 cm
(v)

AB = 14 cm , BC = 14 cm , CA = 19.8 cm

Question 17

17.

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

(i)

FG = 10 cm , GH = 15 cm , HF = 18.03 cm
(ii)

FG = 13 cm , GH = 11 cm , HF = 15 cm
(iii)

FG = 10 cm , GH = 13 cm , HF = 13 cm
(iv)

FG = 10 cm , GH = 10 cm , HF = 10 cm
(v)

FG = 12 cm , GH = 20 cm , HF = 13 cm

Question 18

18.

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

(i)

CD = 15 cm , DE = 13 cm , EC = 12 cm
(ii)

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

CD = 10 cm , DE = 10 cm , EC = 14.14 cm
(iv)

CD = 15 cm , DE = 25 cm , EC = 12 cm
(v)

CD = 13 cm , DE = 14 cm , EC = 15 cm

Question 19

19.

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

(i)

HI = 15 cm , IJ = 10 cm , JH = 13 cm
(ii)

HI = 15 cm , IJ = 15 cm , JH = 21.21 cm
(iii)

HI = 14 cm , IJ = 18 cm , JH = 11 cm
(iv)

HI = 15 cm , IJ = 11 cm , JH = 18.6 cm
(v)

HI = 12 cm , IJ = 19 cm , JH = 12 cm

Question 20

20.

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

(i)

BC = 13 cm , CD = 13 cm , DB = 18.38 cm
(ii)

BC = 13 cm , CD = 22 cm , DB = 14 cm
(iii)

BC = 12 cm , CD = 15 cm , DB = 19.21 cm
(iv)

BC = 11 cm , CD = 10 cm , DB = 13 cm
(v)

BC = 12 cm , CD = 15 cm , DB = 10 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(ii)

∠P = 42.51° , ∠Q = 90° , ∠R = 47.49°
(iii)

∠P = 41.8° , ∠Q = 47.16° , ∠R = 91.04°
(iv)

∠P = 77.36° , ∠Q = 51.32° , ∠R = 51.32°
(v)

∠P = 60° , ∠Q = 60° , ∠R = 60°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠E = 60° , ∠F = 60° , ∠G = 60°
(ii)

∠E = 76.33° , ∠F = 55.3° , ∠G = 48.37°
(iii)

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

∠E = 72.44° , ∠F = 53.78° , ∠G = 53.78°
(v)

∠E = 41.8° , ∠F = 91.04° , ∠G = 47.16°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠J = 81.08° , ∠K = 49.46° , ∠L = 49.46°
(ii)

∠J = 59.3° , ∠K = 52.02° , ∠L = 68.68°
(iii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iv)

∠J = 65.16° , ∠K = 57.42° , ∠L = 57.42°
(v)

∠J = 45° , ∠K = 90° , ∠L = 45°

Question 24

24.

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

(i)

∠N = 60° , ∠O = 60° , ∠P = 60°
(ii)

∠N = 56.31° , ∠O = 90° , ∠P = 33.69°
(iii)

∠N = 53.78° , ∠O = 72.44° , ∠P = 53.78°
(iv)

∠N = 51.32° , ∠O = 45.21° , ∠P = 83.47°
(v)

∠N = 98.63° , ∠O = 42.38° , ∠P = 38.99°

Question 25

25.

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

(i)

∠J = 47.01° , ∠K = 85.98° , ∠L = 47.01°
(ii)

∠J = 71.79° , ∠K = 46.95° , ∠L = 61.26°
(iii)

∠J = 45° , ∠K = 90° , ∠L = 45°
(iv)

∠J = 60° , ∠K = 60° , ∠L = 60°
(v)

∠J = 132.17° , ∠K = 28.14° , ∠L = 19.69°

Question 26

26.

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

(i)

∠L = 45° , ∠M = 90° , ∠N = 45°
(ii)

∠L = 95.52° , ∠M = 40.31° , ∠N = 44.17°
(iii)

∠L = 51.84° , ∠M = 90° , ∠N = 38.16°
(iv)

∠L = 114.72° , ∠M = 38.27° , ∠N = 27.01°
(v)

∠L = 54.56° , ∠M = 62.72° , ∠N = 62.72°

Question 27

27.

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

(i)

∠M = 69.98° , ∠N = 61.28° , ∠O = 48.74°
(ii)

∠M = 33.69° , ∠N = 90° , ∠O = 56.31°
(iii)

∠M = 45° , ∠N = 90° , ∠O = 45°
(iv)

∠M = 100.29° , ∠N = 36.18° , ∠O = 43.53°
(v)

∠M = 45.57° , ∠N = 76.87° , ∠O = 57.56°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠C = 60° , ∠D = 60° , ∠E = 60°
(ii)

∠C = 63.03° , ∠D = 73.69° , ∠E = 43.28°
(iii)

∠C = 42.88° , ∠D = 90° , ∠E = 47.12°
(iv)

∠C = 88.86° , ∠D = 45.57° , ∠E = 45.57°
(v)

∠C = 45° , ∠D = 90° , ∠E = 45°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠B = 80.25° , ∠C = 41.08° , ∠D = 58.67°
(ii)

∠B = 40.16° , ∠C = 75.31° , ∠D = 64.53°
(iii)

∠B = 60° , ∠C = 60° , ∠D = 60°
(iv)

∠B = 65.6° , ∠C = 57.2° , ∠D = 57.2°
(v)

∠B = 49.09° , ∠C = 90° , ∠D = 40.91°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠L = 45° , ∠M = 90° , ∠N = 45°
(ii)

∠L = 60° , ∠M = 60° , ∠N = 60°
(iii)

∠L = 61.26° , ∠M = 46.95° , ∠N = 71.79°
(iv)

∠L = 77.36° , ∠M = 51.32° , ∠N = 51.32°
(v)

∠L = 81.08° , ∠M = 49.46° , ∠N = 49.46°

Question 31

31.

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

(i)

∠F = 109.47° , ∠G = 31.59° , ∠H = 38.94°
(ii)

∠F = 52.02° , ∠G = 68.68° , ∠H = 59.3°
(iii)

∠F = 57.12° , ∠G = 78.46° , ∠H = 44.42°
(iv)

∠F = 51.84° , ∠G = 90° , ∠H = 38.16°
(v)

∠F = 60° , ∠G = 60° , ∠H = 60°

Question 32

32.

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

(i)

∠L = 60° , ∠M = 60° , ∠N = 60°
(ii)

∠L = 46.46° , ∠M = 81.28° , ∠N = 52.26°
(iii)

∠L = 104.47° , ∠M = 46.57° , ∠N = 28.96°
(iv)

∠L = 47.01° , ∠M = 85.98° , ∠N = 47.01°
(v)

∠L = 45° , ∠M = 90° , ∠N = 45°

Question 33

33.

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

(i)

∠P = 38.66° , ∠Q = 90° , ∠R = 51.34°
(ii)

∠P = 53.13° , ∠Q = 53.13° , ∠R = 73.74°
(iii)

∠P = 112.62° , ∠Q = 36.87° , ∠R = 30.51°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 120.25° , ∠Q = 25.59° , ∠R = 34.16°

Question 34

34.

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

(i)

∠L = 45° , ∠M = 90° , ∠N = 45°
(ii)

∠L = 47.12° , ∠M = 90° , ∠N = 42.88°
(iii)

∠L = 74.85° , ∠M = 49.32° , ∠N = 55.83°
(iv)

∠L = 44.42° , ∠M = 62.96° , ∠N = 72.62°
(v)

∠L = 132.72° , ∠M = 25.73° , ∠N = 21.55°

Question 35

35.

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

(i)

JK = 5 cm , KL = 12 cm , LJ = 19 cm
(ii)

JK = 10 cm , KL = 18 cm , LJ = 7 cm
(iii)

JK = 17 cm , KL = 8 cm , LJ = 8 cm
(iv)

JK = 14 cm , KL = 5 cm , LJ = 20 cm
(v)

JK = 15 cm , KL = 11 cm , LJ = 12 cm

Question 36

36.

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

(i)

∠H = 50.40° , ∠I = 89.50° , ∠J = 43.70°
(ii)

∠H = 48.90° , ∠I = 113.30° , ∠J = 47.90°
(iii)

∠H = 115.10° , ∠I = 39.50° , ∠J = 79.80°
(iv)

∠H = 57.40° , ∠I = 49.80° , ∠J = 75.70°
(v)

∠H = 73.69° , ∠I = 63.03° , ∠J = 43.28°

Assignment Key