EduSahara™ Worksheet

Question 1

1.

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

a)

GH
=
HI

b)

IG
=
GH

c)

HI
=
IG

d)

HI
≠
IG

e)

IG
≠
GH

f)

GH
≠
HI

(i)

{a,b,c}
(ii)

{d,a}
(iii)

{f,d,c}
(iv)

{e,a,b}
(v)

{e,b}

Question 2

2.

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

a)

KL
=
LJ

b)

LJ
=
JK

c)

LJ
≠
JK

d)

JK
=
KL

e)

KL
≠
LJ

f)

JK
≠
KL

(i)

{c,b,e}
(ii)

{b,e,f}
(iii)

{c,e}
(iv)

{d,a,f}
(v)

{a,b}

Question 3

3.

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

a)

GH
=
HF

b)

HF
=
FG

c)

HF
≠
FG

d)

FG
≠
GH

e)

FG
=
GH

f)

GH
≠
HF

(i)

{e,a,f}
(ii)

{c,d,f}
(iii)

{b,d}
(iv)

{b,c,d}
(v)

{a,c}

Question 4

4.

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

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

(i)

{a,b,e}
(ii)

{f,c,e}
(iii)

{d,a,b}
(iv)

{d,b}
(v)

{c,a}

Question 5

5.

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

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

(i)

{d,e,f}
(ii)

{a,d}
(iii)

{b,d,e}
(iv)

{c,a,f}
(v)

{b,e}

Question 6

6.

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

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

(i)

{c,a,d}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{a,d,f}
(v)

{e,b,f}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

IJ = 11 cm , JK = 13 cm , KI = 17.03 cm
(ii)

IJ = 12 cm , JK = 13 cm , KI = 14 cm
(iii)

IJ = 15 cm , JK = 15 cm , KI = 15 cm
(iv)

IJ = 10 cm , JK = 10 cm , KI = 14.14 cm
(v)

IJ = 12 cm , JK = 15 cm , KI = 12 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

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

OP = 10 cm , PQ = 13 cm , QO = 16.4 cm
(iii)

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

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

OP = 15 cm , PQ = 13 cm , QO = 11 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

FG = 13 cm , GH = 13 cm , HF = 18.38 cm
(ii)

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

FG = 15 cm , GH = 15 cm , HF = 15 cm
(iv)

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

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

Question 10

10.

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

(i)

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

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

LM = 13 cm , MN = 21 cm , NL = 13 cm
(iv)

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

LM = 10 cm , MN = 11 cm , NL = 11 cm

Question 11

11.

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

(i)

MN = 13 cm , NO = 11 cm , OM = 12 cm
(ii)

MN = 14 cm , NO = 10 cm , OM = 15 cm
(iii)

MN = 11 cm , NO = 18 cm , OM = 14 cm
(iv)

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

MN = 13 cm , NO = 13 cm , OM = 13 cm

Question 12

12.

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

(i)

IJ = 13 cm , JK = 11 cm , KI = 11 cm
(ii)

IJ = 12 cm , JK = 21 cm , KI = 12 cm
(iii)

IJ = 11 cm , JK = 11 cm , KI = 15.56 cm
(iv)

IJ = 15 cm , JK = 11 cm , KI = 18.6 cm
(v)

IJ = 15 cm , JK = 21 cm , KI = 10 cm

Question 13

13.

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

(i)

LM = 15 cm , MN = 10 cm , NL = 18.03 cm
(ii)

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

LM = 11 cm , MN = 19 cm , NL = 11 cm
(iv)

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

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

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

OP = 15 cm , PQ = 10 cm , QO = 14 cm
(ii)

OP = 13 cm , PQ = 11 cm , QO = 13 cm
(iii)

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

OP = 14 cm , PQ = 14 cm , QO = 19.8 cm
(v)

OP = 12 cm , PQ = 12 cm , QO = 12 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

CD = 15 cm , DE = 13 cm , EC = 10 cm
(ii)

CD = 11 cm , DE = 15 cm , EC = 11 cm
(iii)

CD = 11 cm , DE = 13 cm , EC = 10 cm
(iv)

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

CD = 13 cm , DE = 13 cm , EC = 13 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

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

HI = 11 cm , IJ = 15 cm , JH = 11 cm
(iii)

HI = 11 cm , IJ = 12 cm , JH = 15 cm
(iv)

HI = 13 cm , IJ = 13 cm , JH = 18.38 cm
(v)

HI = 15 cm , IJ = 12 cm , JH = 15 cm

Question 17

17.

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

(i)

BC = 11 cm , CD = 13 cm , DB = 17.03 cm
(ii)

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

BC = 13 cm , CD = 10 cm , DB = 12 cm
(iv)

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

BC = 12 cm , CD = 12 cm , DB = 12 cm

Question 18

18.

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

(i)

AB = 12 cm , BC = 12 cm , CA = 16.97 cm
(ii)

AB = 10 cm , BC = 14 cm , CA = 15 cm
(iii)

AB = 11 cm , BC = 16 cm , CA = 11 cm
(iv)

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

AB = 15 cm , BC = 12 cm , CA = 11 cm

Question 19

19.

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

(i)

DE = 12 cm , EF = 12 cm , FD = 16.97 cm
(ii)

DE = 13 cm , EF = 15 cm , FD = 19.85 cm
(iii)

DE = 12 cm , EF = 15 cm , FD = 12 cm
(iv)

DE = 13 cm , EF = 25 cm , FD = 15 cm
(v)

DE = 13 cm , EF = 20 cm , FD = 13 cm

Question 20

20.

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

(i)

NO = 13 cm , OP = 12 cm , PN = 17.69 cm
(ii)

NO = 11 cm , OP = 11 cm , PN = 14 cm
(iii)

NO = 15 cm , OP = 15 cm , PN = 21.21 cm
(iv)

NO = 13 cm , OP = 11 cm , PN = 13 cm
(v)

NO = 11 cm , OP = 18 cm , PN = 12 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠B = 45.24° , ∠C = 67.38° , ∠D = 67.38°
(ii)

∠B = 85.46° , ∠C = 41.65° , ∠D = 52.89°
(iii)

∠B = 49.4° , ∠C = 90° , ∠D = 40.6°
(iv)

∠B = 60° , ∠C = 60° , ∠D = 60°
(v)

∠B = 45° , ∠C = 90° , ∠D = 45°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠F = 55.83° , ∠G = 74.85° , ∠H = 49.32°
(ii)

∠F = 52.43° , ∠G = 90° , ∠H = 37.57°
(iii)

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

∠F = 60° , ∠G = 60° , ∠H = 60°
(v)

∠F = 97.18° , ∠G = 41.41° , ∠H = 41.41°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠C = 50.06° , ∠D = 64.97° , ∠E = 64.97°
(ii)

∠C = 73.74° , ∠D = 53.13° , ∠E = 53.13°
(iii)

∠C = 45° , ∠D = 90° , ∠E = 45°
(iv)

∠C = 46.95° , ∠D = 71.79° , ∠E = 61.26°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 24

24.

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

(i)

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

∠H = 64.53° , ∠I = 40.16° , ∠J = 75.31°
(iii)

∠H = 60° , ∠I = 60° , ∠J = 60°
(iv)

∠H = 100.29° , ∠I = 43.53° , ∠J = 36.18°

Question 25

25.

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

(i)

∠N = 50.06° , ∠O = 64.97° , ∠P = 64.97°
(ii)

∠N = 62.96° , ∠O = 44.42° , ∠P = 72.62°
(iii)

∠N = 129.52° , ∠O = 23.95° , ∠P = 26.53°
(iv)

∠N = 45° , ∠O = 90° , ∠P = 45°
(v)

∠N = 60° , ∠O = 60° , ∠P = 60°

Question 26

26.

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

(i)

∠M = 74.85° , ∠N = 55.83° , ∠O = 49.32°
(ii)

∠M = 115.6° , ∠N = 32.2° , ∠O = 32.2°
(iii)

∠M = 93.9° , ∠N = 43.05° , ∠O = 43.05°
(iv)

∠M = 53.75° , ∠N = 90° , ∠O = 36.25°
(v)

∠M = 45° , ∠N = 90° , ∠O = 45°

Question 27

27.

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

(i)

∠C = 56.63° , ∠D = 66.74° , ∠E = 56.63°
(ii)

∠C = 45° , ∠D = 90° , ∠E = 45°
(iii)

∠C = 57.42° , ∠D = 65.16° , ∠E = 57.42°
(iv)

∠C = 134.76° , ∠D = 22.62° , ∠E = 22.62°
(v)

∠C = 36.25° , ∠D = 90° , ∠E = 53.75°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

∠D = 75.31° , ∠E = 64.53° , ∠F = 40.16°
(iii)

∠D = 33.69° , ∠E = 90° , ∠F = 56.31°
(iv)

∠D = 60° , ∠E = 60° , ∠F = 60°
(v)

∠D = 54.56° , ∠E = 62.72° , ∠F = 62.72°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠I = 60° , ∠J = 60° , ∠K = 60°
(ii)

∠I = 56.31° , ∠J = 90° , ∠K = 33.69°
(iii)

∠I = 70.46° , ∠J = 54.77° , ∠K = 54.77°
(iv)

∠I = 71.79° , ∠J = 61.26° , ∠K = 46.95°
(v)

∠I = 46.95° , ∠J = 71.79° , ∠K = 61.26°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠N = 97.18° , ∠O = 41.41° , ∠P = 41.41°
(ii)

∠N = 59.41° , ∠O = 52.62° , ∠P = 67.97°
(iii)

∠N = 60° , ∠O = 60° , ∠P = 60°
(iv)

∠N = 45° , ∠O = 90° , ∠P = 45°
(v)

∠N = 77.36° , ∠O = 51.32° , ∠P = 51.32°

Question 31

31.

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

(i)

∠D = 41.08° , ∠E = 80.25° , ∠F = 58.67°
(ii)

∠D = 42.51° , ∠E = 90° , ∠F = 47.49°
(iii)

∠D = 50.48° , ∠E = 50.48° , ∠F = 79.04°
(iv)

∠D = 60° , ∠E = 60° , ∠F = 60°
(v)

∠D = 106.26° , ∠E = 36.87° , ∠F = 36.87°

Question 32

32.

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

(i)

∠I = 62.33° , ∠J = 55.33° , ∠K = 62.34°
(ii)

∠I = 60° , ∠J = 60° , ∠K = 60°
(iii)

∠I = 61.28° , ∠J = 70.81° , ∠K = 47.91°
(iv)

∠I = 45° , ∠J = 90° , ∠K = 45°
(v)

∠I = 130.54° , ∠J = 27.13° , ∠K = 22.33°

Question 33

33.

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

(i)

∠I = 54.46° , ∠J = 90° , ∠K = 35.54°
(ii)

∠I = 64.53° , ∠J = 75.31° , ∠K = 40.16°
(iii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iv)

∠I = 116.78° , ∠J = 30.3° , ∠K = 32.92°
(v)

∠I = 95.52° , ∠J = 40.31° , ∠K = 44.17°

Question 34

34.

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

(i)

∠G = 64.97° , ∠H = 50.06° , ∠I = 64.97°
(ii)

∠G = 110.26° , ∠H = 37.72° , ∠I = 32.02°
(iii)

∠G = 56.31° , ∠H = 90° , ∠I = 33.69°
(iv)

∠G = 45.57° , ∠H = 45.57° , ∠I = 88.86°
(v)

∠G = 45° , ∠H = 90° , ∠I = 45°

Question 35

35.

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

(i)

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

MN = 16 cm , NO = 5 cm , OM = 8 cm
(iii)

MN = 20 cm , NO = 7 cm , OM = 11 cm
(iv)

MN = 5 cm , NO = 14 cm , OM = 7 cm
(v)

MN = 19 cm , NO = 7 cm , OM = 8 cm

Question 36

36.

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

(i)

∠O = 47.16° , ∠P = 66.42° , ∠Q = 66.42°
(ii)

∠O = 45.20° , ∠P = 53.60° , ∠Q = 79.80°
(iii)

∠O = 63.50° , ∠P = 81.70° , ∠Q = 80.40°
(iv)

∠O = 54.90° , ∠P = 101.60° , ∠Q = 37.60°
(v)

∠O = 107.30° , ∠P = 102.90° , ∠Q = 32.10°

Assignment Key