EduSahara™ Worksheet

Question 1

1.

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

a)

OM
=
MN

b)

NO
≠
OM

c)

MN
≠
NO

d)

OM
≠
MN

e)

MN
=
NO

f)

NO
=
OM

(i)

{a,e,f}
(ii)

{c,e}
(iii)

{d,b,f}
(iv)

{b,a}
(v)

{c,a,e}

Question 2

2.

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

a)

IJ
=
JH

b)

JH
=
HI

c)

HI
=
IJ

d)

JH
≠
HI

e)

HI
≠
IJ

f)

IJ
≠
JH

(i)

{c,b,e}
(ii)

{d,a,f}
(iii)

{b,e,f}
(iv)

{c,e}
(v)

{a,b}

Question 3

3.

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

a)

HF
=
FG

b)

HF
≠
FG

c)

GH
=
HF

d)

FG
=
GH

e)

GH
≠
HF

f)

FG
≠
GH

(i)

{c,e}
(ii)

{a,b}
(iii)

{b,e,f}
(iv)

{c,b,e}
(v)

{d,a,f}

Question 4

4.

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

a)	∠M ≠ ∠K
b)	∠K = ∠L
c)	∠K ≠ ∠L
d)	∠M = ∠K
e)	∠L ≠ ∠M
f)	∠L = ∠M

(i)

{c,d}
(ii)

{a,b}
(iii)

{e,a,f}
(iv)

{c,b,d}
(v)

{b,d,f}

Question 5

5.

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

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

(i)

{e,a,b}
(ii)

{c,a}
(iii)

{e,b}
(iv)

{f,c,d}
(v)

{a,b,d}

Question 6

6.

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

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

(i)

{c,d,f}
(ii)

{b,d}
(iii)

{e,a,f}
(iv)

{a,c}
(v)

{b,c,d}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

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

FG = 10 cm , GH = 15 cm , HF = 10 cm
(iii)

FG = 12 cm , GH = 12 cm , HF = 16.97 cm
(iv)

FG = 14 cm , GH = 12 cm , HF = 15 cm
(v)

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

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

OP = 13 cm , PQ = 11 cm , QO = 15 cm
(ii)

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

OP = 13 cm , PQ = 15 cm , QO = 13 cm
(iv)

OP = 14 cm , PQ = 15 cm , QO = 20.52 cm
(v)

OP = 13 cm , PQ = 10 cm , QO = 15 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

JK = 10 cm , KL = 13 cm , LJ = 10 cm
(ii)

JK = 11 cm , KL = 14 cm , LJ = 11 cm
(iii)

JK = 13 cm , KL = 12 cm , LJ = 10 cm
(iv)

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

JK = 11 cm , KL = 11 cm , LJ = 15.56 cm

Question 10

10.

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

(i)

CD = 14 cm , DE = 13 cm , EC = 19.1 cm
(ii)

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

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

CD = 12 cm , DE = 11 cm , EC = 13 cm
(v)

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

Question 11

11.

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

(i)

MN = 10 cm , NO = 14 cm , OM = 11 cm
(ii)

MN = 11 cm , NO = 11 cm , OM = 15.56 cm
(iii)

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

MN = 10 cm , NO = 17 cm , OM = 10 cm
(v)

MN = 13 cm , NO = 13 cm , OM = 14 cm

Question 12

12.

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

(i)

IJ = 15 cm , JK = 13 cm , KI = 19.85 cm
(ii)

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

IJ = 11 cm , JK = 19 cm , KI = 14 cm
(iv)

IJ = 14 cm , JK = 14 cm , KI = 19.8 cm
(v)

IJ = 12 cm , JK = 17 cm , KI = 11 cm

Question 13

13.

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

(i)

CD = 11 cm , DE = 14 cm , EC = 10 cm
(ii)

CD = 11 cm , DE = 11 cm , EC = 15.56 cm
(iii)

CD = 13 cm , DE = 14 cm , EC = 10 cm
(iv)

CD = 12 cm , DE = 10 cm , EC = 15.62 cm
(v)

CD = 11 cm , DE = 18 cm , EC = 14 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

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

BC = 11 cm , CD = 11 cm , DB = 15.56 cm
(iii)

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

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

BC = 15 cm , CD = 10 cm , DB = 18.03 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

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

DE = 10 cm , EF = 13 cm , FD = 10 cm
(iii)

DE = 10 cm , EF = 12 cm , FD = 15.62 cm
(iv)

DE = 13 cm , EF = 15 cm , FD = 11 cm
(v)

DE = 13 cm , EF = 11 cm , FD = 15 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

AB = 10 cm , BC = 11 cm , CA = 10 cm
(ii)

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

AB = 11 cm , BC = 15 cm , CA = 11 cm
(iv)

AB = 14 cm , BC = 14 cm , CA = 19.8 cm
(v)

AB = 10 cm , BC = 15 cm , CA = 12 cm

Question 17

17.

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

(i)

GH = 10 cm , HI = 13 cm , IG = 14 cm
(ii)

GH = 11 cm , HI = 10 cm , IG = 14.87 cm
(iii)

GH = 10 cm , HI = 11 cm , IG = 15 cm
(iv)

GH = 14 cm , HI = 21 cm , IG = 12 cm
(v)

GH = 14 cm , HI = 14 cm , IG = 14 cm

Question 18

18.

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

(i)

FG = 14 cm , GH = 12 cm , HF = 11 cm
(ii)

FG = 13 cm , GH = 22 cm , HF = 14 cm
(iii)

FG = 11 cm , GH = 11 cm , HF = 15.56 cm
(iv)

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

FG = 10 cm , GH = 13 cm , HF = 14 cm

Question 19

19.

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

(i)

OP = 13 cm , PQ = 21 cm , QO = 15 cm
(ii)

OP = 14 cm , PQ = 21 cm , QO = 12 cm
(iii)

OP = 14 cm , PQ = 10 cm , QO = 17.2 cm
(iv)

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

OP = 15 cm , PQ = 12 cm , QO = 10 cm

Question 20

20.

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

(i)

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

LM = 10 cm , MN = 20 cm , NL = 12 cm
(iii)

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

LM = 13 cm , MN = 13 cm , NL = 18.38 cm
(v)

LM = 13 cm , MN = 13 cm , NL = 10 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠I = 68.68° , ∠J = 52.02° , ∠K = 59.3°
(ii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iii)

∠I = 60° , ∠J = 60° , ∠K = 60°
(iv)

∠I = 40.6° , ∠J = 90° , ∠K = 49.4°
(v)

∠I = 46.26° , ∠J = 66.87° , ∠K = 66.87°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠O = 69.51° , ∠P = 51.32° , ∠Q = 59.17°
(ii)

∠O = 52.43° , ∠P = 90° , ∠Q = 37.57°
(iii)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(iv)

∠O = 81.08° , ∠P = 49.46° , ∠Q = 49.46°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠E = 60° , ∠F = 60° , ∠G = 60°
(ii)

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

∠E = 77.36° , ∠F = 51.32° , ∠G = 51.32°
(iv)

∠E = 45.24° , ∠F = 67.38° , ∠G = 67.38°
(v)

∠E = 45° , ∠F = 90° , ∠G = 45°

Question 24

24.

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

(i)

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

∠B = 104.9° , ∠C = 39.07° , ∠D = 36.03°
(iii)

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

∠B = 60° , ∠C = 60° , ∠D = 60°
(v)

∠B = 55.3° , ∠C = 48.37° , ∠D = 76.33°

Question 25

25.

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

(i)

∠P = 56.25° , ∠Q = 50.13° , ∠R = 73.62°
(ii)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(iii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iv)

∠P = 113.74° , ∠Q = 28.65° , ∠R = 37.61°
(v)

∠P = 79.04° , ∠Q = 50.48° , ∠R = 50.48°

Question 26

26.

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

(i)

∠N = 117.82° , ∠O = 28.62° , ∠P = 33.56°
(ii)

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

∠N = 42.71° , ∠O = 90° , ∠P = 47.29°
(iv)

∠N = 45° , ∠O = 90° , ∠P = 45°
(v)

∠N = 112.88° , ∠O = 33.56° , ∠P = 33.56°

Question 27

27.

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

(i)

∠P = 47.12° , ∠Q = 90° , ∠R = 42.88°
(ii)

∠P = 128.32° , ∠Q = 25.84° , ∠R = 25.84°
(iii)

∠P = 62.52° , ∠Q = 62.51° , ∠R = 54.97°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 50.75° , ∠Q = 64.63° , ∠R = 64.62°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(ii)

∠P = 54.56° , ∠Q = 62.72° , ∠R = 62.72°
(iii)

∠P = 47.12° , ∠Q = 90° , ∠R = 42.88°
(iv)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(v)

∠P = 74.85° , ∠Q = 49.32° , ∠R = 55.83°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠K = 60° , ∠L = 60° , ∠M = 60°
(ii)

∠K = 69.51° , ∠L = 59.17° , ∠M = 51.32°
(iii)

∠K = 73.74° , ∠L = 53.13° , ∠M = 53.13°
(iv)

∠K = 46.95° , ∠L = 71.79° , ∠M = 61.26°
(v)

∠K = 40.24° , ∠L = 90° , ∠M = 49.76°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

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

∠I = 60° , ∠J = 60° , ∠K = 60°
(iii)

∠I = 64.78° , ∠J = 57.61° , ∠K = 57.61°
(iv)

∠I = 45° , ∠J = 90° , ∠K = 45°
(v)

∠I = 41.08° , ∠J = 80.25° , ∠K = 58.67°

Question 31

31.

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

(i)

∠F = 99.15° , ∠G = 38.1° , ∠H = 42.75°
(ii)

∠F = 52.26° , ∠G = 81.28° , ∠H = 46.46°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 42.88° , ∠G = 90° , ∠H = 47.12°
(v)

∠F = 57.12° , ∠G = 44.42° , ∠H = 78.46°

Question 32

32.

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

(i)

∠H = 92.87° , ∠I = 38.62° , ∠J = 48.51°
(ii)

∠H = 45° , ∠I = 90° , ∠J = 45°
(iii)

∠H = 52.02° , ∠I = 59.3° , ∠J = 68.68°
(iv)

∠H = 60° , ∠I = 60° , ∠J = 60°
(v)

∠H = 51.32° , ∠I = 59.17° , ∠J = 69.51°

Question 33

33.

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

(i)

∠I = 45° , ∠J = 90° , ∠K = 45°
(ii)

∠I = 98.85° , ∠J = 38.61° , ∠K = 42.54°
(iii)

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

∠I = 129.52° , ∠J = 23.95° , ∠K = 26.53°
(v)

∠I = 35.54° , ∠J = 90° , ∠K = 54.46°

Question 34

34.

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

(i)

∠P = 53.13° , ∠Q = 67.38° , ∠R = 59.49°
(ii)

∠P = 70.53° , ∠Q = 38.94° , ∠R = 70.53°
(iii)

∠P = 49.76° , ∠Q = 90° , ∠R = 40.24°
(iv)

∠P = 106.2° , ∠Q = 35.18° , ∠R = 38.62°
(v)

∠P = 45° , ∠Q = 90° , ∠R = 45°

Question 35

35.

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

(i)

JK = 16 cm , KL = 6 cm , LJ = 6 cm
(ii)

JK = 7 cm , KL = 8 cm , LJ = 20 cm
(iii)

JK = 16 cm , KL = 8 cm , LJ = 5 cm
(iv)

JK = 6 cm , KL = 16 cm , LJ = 5 cm
(v)

JK = 13 cm , KL = 12 cm , LJ = 11 cm

Question 36

36.

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

(i)

∠P = 88.60° , ∠Q = 91.80° , ∠R = 120.90°
(ii)

∠P = 115.70° , ∠Q = 41.50° , ∠R = 72.80°
(iii)

∠P = 87.30° , ∠Q = 58.50° , ∠R = 40.10°
(iv)

∠P = 76.30° , ∠Q = 41.30° , ∠R = 40.80°
(v)

∠P = 73.62° , ∠Q = 50.13° , ∠R = 56.25°

Assignment Key