EduSahara™ Worksheet

Question 1

1.

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

a)

FG
=
GE

b)

EF
=
FG

c)

GE
≠
EF

d)

FG
≠
GE

e)

GE
=
EF

f)

EF
≠
FG

(i)

{f,c,e}
(ii)

{d,b}
(iii)

{d,a,b}
(iv)

{a,b,e}
(v)

{c,a}

Question 2

2.

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

a)

KL
≠
LJ

b)

JK
≠
KL

c)

LJ
=
JK

d)

JK
=
KL

e)

KL
=
LJ

f)

LJ
≠
JK

(i)

{a,b,c}
(ii)

{d,a}
(iii)

{e,b}
(iv)

{f,d,c}
(v)

{e,a,b}

Question 3

3.

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

a)

HF
≠
FG

b)

HF
=
FG

c)

FG
=
GH

d)

FG
≠
GH

e)

GH
≠
HF

f)

GH
=
HF

(i)

{f,b,e}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{c,a,d}
(v)

{a,d,e}

Question 4

4.

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

a)	∠Q ≠ ∠R
b)	∠R ≠ ∠P
c)	∠Q = ∠R
d)	∠R = ∠P
e)	∠P ≠ ∠Q
f)	∠P = ∠Q

(i)

{e,a,f}
(ii)

{b,c,d}
(iii)

{a,c}
(iv)

{b,d}
(v)

{c,d,f}

Question 5

5.

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

a)	∠M = ∠N
b)	∠M ≠ ∠N
c)	∠O ≠ ∠M
d)	∠O = ∠M
e)	∠N ≠ ∠O
f)	∠N = ∠O

(i)

{d,c}
(ii)

{d,b,c}
(iii)

{b,c,f}
(iv)

{e,a,f}
(v)

{a,b}

Question 6

6.

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

a)	∠O = ∠M
b)	∠M ≠ ∠N
c)	∠M = ∠N
d)	∠N = ∠O
e)	∠O ≠ ∠M
f)	∠N ≠ ∠O

(i)

{c,b,e}
(ii)

{a,b}
(iii)

{b,e,f}
(iv)

{d,a,f}
(v)

{c,e}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

HI = 14 cm , IJ = 14 cm , JH = 19.8 cm
(ii)

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

HI = 13 cm , IJ = 15 cm , JH = 11 cm
(iv)

HI = 12 cm , IJ = 10 cm , JH = 15.62 cm
(v)

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

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

MN = 15 cm , NO = 15 cm , OM = 15 cm
(ii)

MN = 12 cm , NO = 10 cm , OM = 13 cm
(iii)

MN = 11 cm , NO = 15 cm , OM = 11 cm
(iv)

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

MN = 15 cm , NO = 13 cm , OM = 19.85 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

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

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

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

JK = 10 cm , KL = 14 cm , LJ = 10 cm
(v)

JK = 10 cm , KL = 13 cm , LJ = 15 cm

Question 10

10.

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

(i)

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

NO = 15 cm , OP = 11 cm , PN = 18.6 cm
(iii)

NO = 15 cm , OP = 14 cm , PN = 12 cm
(iv)

NO = 10 cm , OP = 22 cm , PN = 15 cm
(v)

NO = 11 cm , OP = 11 cm , PN = 11 cm

Question 11

11.

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

(i)

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

JK = 13 cm , KL = 19 cm , LJ = 13 cm
(iii)

JK = 14 cm , KL = 13 cm , LJ = 15 cm
(iv)

JK = 13 cm , KL = 11 cm , LJ = 14 cm
(v)

JK = 13 cm , KL = 13 cm , LJ = 18.38 cm

Question 12

12.

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

(i)

HI = 12 cm , IJ = 14 cm , JH = 18.44 cm
(ii)

HI = 15 cm , IJ = 21 cm , JH = 12 cm
(iii)

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

HI = 15 cm , IJ = 21 cm , JH = 11 cm
(v)

HI = 14 cm , IJ = 15 cm , JH = 15 cm

Question 13

13.

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

(i)

PQ = 15 cm , QR = 15 cm , RP = 21.21 cm
(ii)

PQ = 13 cm , QR = 15 cm , RP = 11 cm
(iii)

PQ = 13 cm , QR = 10 cm , RP = 15 cm
(iv)

PQ = 13 cm , QR = 12 cm , RP = 17.69 cm
(v)

PQ = 11 cm , QR = 21 cm , RP = 15 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

HI = 12 cm , IJ = 14 cm , JH = 12 cm
(ii)

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

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

HI = 11 cm , IJ = 12 cm , JH = 16.28 cm
(v)

HI = 11 cm , IJ = 11 cm , JH = 15.56 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

OP = 13 cm , PQ = 12 cm , QO = 10 cm
(ii)

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

OP = 14 cm , PQ = 11 cm , QO = 17.8 cm
(iv)

OP = 13 cm , PQ = 10 cm , QO = 13 cm
(v)

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

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

IJ = 15 cm , JK = 10 cm , KI = 13 cm
(ii)

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

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

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

IJ = 13 cm , JK = 14 cm , KI = 13 cm

Question 17

17.

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

(i)

BC = 15 cm , CD = 13 cm , DB = 11 cm
(ii)

BC = 13 cm , CD = 11 cm , DB = 12 cm
(iii)

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

BC = 15 cm , CD = 10 cm , DB = 18.03 cm
(v)

BC = 13 cm , CD = 19 cm , DB = 13 cm

Question 18

18.

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

(i)

IJ = 12 cm , JK = 17 cm , KI = 10 cm
(ii)

IJ = 12 cm , JK = 14 cm , KI = 11 cm
(iii)

IJ = 14 cm , JK = 13 cm , KI = 11 cm
(iv)

IJ = 13 cm , JK = 13 cm , KI = 18.38 cm
(v)

IJ = 10 cm , JK = 10 cm , KI = 10 cm

Question 19

19.

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

(i)

BC = 14 cm , CD = 10 cm , DB = 17.2 cm
(ii)

BC = 12 cm , CD = 23 cm , DB = 13 cm
(iii)

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

BC = 10 cm , CD = 10 cm , DB = 14.14 cm
(v)

BC = 10 cm , CD = 17 cm , DB = 10 cm

Question 20

20.

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

(i)

OP = 12 cm , PQ = 11 cm , QO = 16.28 cm
(ii)

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

OP = 11 cm , PQ = 11 cm , QO = 15.56 cm
(iv)

OP = 11 cm , PQ = 20 cm , QO = 11 cm
(v)

OP = 12 cm , PQ = 15 cm , QO = 14 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠P = 49.4° , ∠Q = 90° , ∠R = 40.6°
(ii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iii)

∠P = 62.96° , ∠Q = 72.62° , ∠R = 44.42°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 71.38° , ∠Q = 54.31° , ∠R = 54.31°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠I = 47.16° , ∠J = 41.8° , ∠K = 91.04°
(ii)

∠I = 60° , ∠J = 60° , ∠K = 60°
(iii)

∠I = 45.24° , ∠J = 67.38° , ∠K = 67.38°
(iv)

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

∠I = 42.51° , ∠J = 90° , ∠K = 47.49°

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 = 46.26° , ∠K = 66.87° , ∠L = 66.87°
(iii)

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

∠J = 45° , ∠K = 90° , ∠L = 45°
(v)

∠J = 60° , ∠K = 60° , ∠L = 60°

Question 24

24.

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

(i)

∠C = 47.29° , ∠D = 90° , ∠E = 42.71°
(ii)

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

∠C = 60° , ∠D = 60° , ∠E = 60°
(iv)

∠C = 119.17° , ∠D = 27.36° , ∠E = 33.47°
(v)

∠C = 51.32° , ∠D = 69.51° , ∠E = 59.17°

Question 25

25.

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

(i)

∠B = 60° , ∠C = 60° , ∠D = 60°
(ii)

∠B = 47.91° , ∠C = 70.81° , ∠D = 61.28°
(iii)

∠B = 103.43° , ∠C = 30.79° , ∠D = 45.78°
(iv)

∠B = 45° , ∠C = 90° , ∠D = 45°
(v)

∠B = 68.49° , ∠C = 43.02° , ∠D = 68.49°

Question 26

26.

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

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

∠D = 46.97° , ∠E = 90° , ∠F = 43.03°
(iii)

∠D = 124.23° , ∠E = 30.22° , ∠F = 25.55°
(iv)

∠D = 62.33° , ∠E = 62.34° , ∠F = 55.33°
(v)

∠D = 94.34° , ∠E = 42.83° , ∠F = 42.83°

Question 27

27.

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

(i)

∠N = 38.94° , ∠O = 70.53° , ∠P = 70.53°
(ii)

∠N = 98.85° , ∠O = 42.54° , ∠P = 38.61°
(iii)

∠N = 45° , ∠O = 90° , ∠P = 45°
(iv)

∠N = 48.37° , ∠O = 76.33° , ∠P = 55.3°
(v)

∠N = 47.73° , ∠O = 90° , ∠P = 42.27°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠E = 71.38° , ∠F = 54.31° , ∠G = 54.31°
(ii)

∠E = 52.62° , ∠F = 59.41° , ∠G = 67.97°
(iii)

∠E = 49.09° , ∠F = 90° , ∠G = 40.91°
(iv)

∠E = 60° , ∠F = 60° , ∠G = 60°
(v)

∠E = 45° , ∠F = 90° , ∠G = 45°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

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

∠M = 71.79° , ∠N = 61.26° , ∠O = 46.95°
(iii)

∠M = 60° , ∠N = 60° , ∠O = 60°
(iv)

∠M = 59.17° , ∠N = 51.32° , ∠O = 69.51°
(v)

∠M = 42.71° , ∠N = 90° , ∠O = 47.29°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠J = 45° , ∠K = 90° , ∠L = 45°
(ii)

∠J = 66.12° , ∠K = 56.94° , ∠L = 56.94°
(iii)

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

∠J = 41.08° , ∠K = 80.25° , ∠L = 58.67°
(v)

∠J = 60° , ∠K = 60° , ∠L = 60°

Question 31

31.

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

(i)

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

∠M = 60° , ∠N = 60° , ∠O = 60°
(iii)

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

∠M = 57.42° , ∠N = 65.16° , ∠O = 57.42°
(v)

∠M = 63.03° , ∠N = 43.28° , ∠O = 73.69°

Question 32

32.

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

(i)

∠H = 45° , ∠I = 90° , ∠J = 45°
(ii)

∠H = 54.97° , ∠I = 62.52° , ∠J = 62.51°
(iii)

∠H = 60° , ∠I = 60° , ∠J = 60°
(iv)

∠H = 73.69° , ∠I = 63.03° , ∠J = 43.28°
(v)

∠H = 119.17° , ∠I = 33.47° , ∠J = 27.36°

Question 33

33.

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

(i)

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

∠H = 124.23° , ∠I = 25.55° , ∠J = 30.22°
(iii)

∠H = 45° , ∠I = 90° , ∠J = 45°
(iv)

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

∠H = 104.38° , ∠I = 34.11° , ∠J = 41.51°

Question 34

34.

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

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

∠D = 52.89° , ∠E = 85.46° , ∠F = 41.65°
(iii)

∠D = 49.4° , ∠E = 90° , ∠F = 40.6°
(iv)

∠D = 91.04° , ∠E = 41.8° , ∠F = 47.16°
(v)

∠D = 41.08° , ∠E = 80.25° , ∠F = 58.67°

Question 35

35.

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

(i)

BC = 5 cm , CD = 16 cm , DB = 5 cm
(ii)

BC = 5 cm , CD = 15 cm , DB = 5 cm
(iii)

BC = 19 cm , CD = 11 cm , DB = 7 cm
(iv)

BC = 6 cm , CD = 18 cm , DB = 10 cm
(v)

BC = 11 cm , CD = 10 cm , DB = 12 cm

Question 36

36.

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

(i)

∠F = 44.80° , ∠G = 85.80° , ∠H = 107.20°
(ii)

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

∠F = 71.20° , ∠G = 102.40° , ∠H = 99.20°
(iv)

∠F = 34.30° , ∠G = 108.20° , ∠H = 113.70°
(v)

∠F = 112.30° , ∠G = 90.70° , ∠H = 90.80°

Assignment Key