EduSahara™ Worksheet

Question 1

1.

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

a)

NO
=
OM

b)

OM
≠
MN

c)

MN
≠
NO

d)

NO
≠
OM

e)

OM
=
MN

f)

MN
=
NO

(i)

{c,a,e}
(ii)

{b,a}
(iii)

{d,b,f}
(iv)

{c,e}
(v)

{a,e,f}

Question 2

2.

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

a)

HI
≠
IJ

b)

JH
≠
HI

c)

IJ
=
JH

d)

IJ
≠
JH

e)

HI
=
IJ

f)

JH
=
HI

(i)

{c,a,d}
(ii)

{a,d,f}
(iii)

{b,a}
(iv)

{c,d}
(v)

{e,b,f}

Question 3

3.

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

a)

JK
≠
KI

b)

JK
=
KI

c)

IJ
=
JK

d)

KI
≠
IJ

e)

KI
=
IJ

f)

IJ
≠
JK

(i)

{a,d,f}
(ii)

{c,a,d}
(iii)

{b,a}
(iv)

{c,d}
(v)

{e,b,f}

Question 4

4.

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

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

(i)

{d,a}
(ii)

{f,d,c}
(iii)

{e,a,b}
(iv)

{a,b,c}
(v)

{e,b}

Question 5

5.

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

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

(i)

{b,e}
(ii)

{c,a,f}
(iii)

{a,d}
(iv)

{d,e,f}
(v)

{b,d,e}

Question 6

6.

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

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

(i)

{c,b,e}
(ii)

{d,a,f}
(iii)

{b,e,f}
(iv)

{c,e}
(v)

{a,b}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

KL = 15 cm , LM = 15 cm , MK = 21.21 cm
(ii)

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

KL = 12 cm , LM = 12 cm , MK = 12 cm
(iv)

KL = 13 cm , LM = 11 cm , MK = 14 cm
(v)

KL = 11 cm , LM = 14 cm , MK = 17.8 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

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

PQ = 11 cm , QR = 15 cm , RP = 14 cm
(iii)

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

PQ = 11 cm , QR = 14 cm , RP = 11 cm
(v)

PQ = 14 cm , QR = 13 cm , RP = 10 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

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

LM = 12 cm , MN = 12 cm , NL = 16.97 cm
(iii)

LM = 12 cm , MN = 14 cm , NL = 12 cm
(iv)

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

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

Question 10

10.

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

(i)

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

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

LM = 11 cm , MN = 14 cm , NL = 12 cm
(iv)

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

LM = 13 cm , MN = 12 cm , NL = 14 cm

Question 11

11.

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

(i)

HI = 14 cm , IJ = 15 cm , JH = 13 cm
(ii)

HI = 10 cm , IJ = 10 cm , JH = 10 cm
(iii)

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

HI = 15 cm , IJ = 20 cm , JH = 12 cm
(v)

HI = 13 cm , IJ = 11 cm , JH = 13 cm

Question 12

12.

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

(i)

HI = 12 cm , IJ = 18 cm , JH = 11 cm
(ii)

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

HI = 12 cm , IJ = 23 cm , JH = 14 cm
(iv)

HI = 10 cm , IJ = 10 cm , JH = 14.14 cm
(v)

HI = 11 cm , IJ = 15 cm , JH = 12 cm

Question 13

13.

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

(i)

IJ = 12 cm , JK = 12 cm , KI = 16.97 cm
(ii)

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

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

IJ = 13 cm , JK = 21 cm , KI = 12 cm
(v)

IJ = 14 cm , JK = 13 cm , KI = 19.1 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

FG = 13 cm , GH = 11 cm , HF = 13 cm
(ii)

FG = 13 cm , GH = 15 cm , HF = 19.85 cm
(iii)

FG = 11 cm , GH = 13 cm , HF = 14 cm
(iv)

FG = 14 cm , GH = 14 cm , HF = 19.8 cm
(v)

FG = 15 cm , GH = 15 cm , HF = 15 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

OP = 12 cm , PQ = 14 cm , QO = 18.44 cm
(ii)

OP = 11 cm , PQ = 14 cm , QO = 12 cm
(iii)

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

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

OP = 13 cm , PQ = 13 cm , QO = 13 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

GH = 15 cm , HI = 15 cm , IG = 15 cm
(ii)

GH = 14 cm , HI = 10 cm , IG = 11 cm
(iii)

GH = 13 cm , HI = 11 cm , IG = 13 cm
(iv)

GH = 10 cm , HI = 15 cm , IG = 10 cm
(v)

GH = 13 cm , HI = 13 cm , IG = 18.38 cm

Question 17

17.

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

(i)

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

MN = 11 cm , NO = 15 cm , OM = 18.6 cm
(iii)

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

MN = 13 cm , NO = 12 cm , OM = 15 cm
(v)

MN = 13 cm , NO = 20 cm , OM = 10 cm

Question 18

18.

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

(i)

PQ = 15 cm , QR = 12 cm , RP = 13 cm
(ii)

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

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

PQ = 12 cm , QR = 12 cm , RP = 16.97 cm
(v)

PQ = 15 cm , QR = 19 cm , RP = 10 cm

Question 19

19.

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

(i)

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

JK = 14 cm , KL = 23 cm , LJ = 12 cm
(iii)

JK = 12 cm , KL = 10 cm , LJ = 15.62 cm
(iv)

JK = 10 cm , KL = 10 cm , LJ = 14.14 cm
(v)

JK = 12 cm , KL = 19 cm , LJ = 12 cm

Question 20

20.

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

(i)

HI = 15 cm , IJ = 14 cm , JH = 12 cm
(ii)

HI = 12 cm , IJ = 12 cm , JH = 16.97 cm
(iii)

HI = 15 cm , IJ = 14 cm , JH = 20.52 cm
(iv)

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

HI = 10 cm , IJ = 21 cm , JH = 13 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠F = 40.24° , ∠G = 90° , ∠H = 49.76°
(ii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iii)

∠F = 66.74° , ∠G = 56.63° , ∠H = 56.63°
(iv)

∠F = 57.56° , ∠G = 45.57° , ∠H = 76.87°
(v)

∠F = 45° , ∠G = 90° , ∠H = 45°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

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

∠O = 65.16° , ∠P = 57.42° , ∠Q = 57.42°
(iii)

∠O = 61.28° , ∠P = 70.81° , ∠Q = 47.91°
(iv)

∠O = 60° , ∠P = 60° , ∠Q = 60°
(v)

∠O = 40.91° , ∠P = 90° , ∠Q = 49.09°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 70.46° , ∠G = 54.77° , ∠H = 54.77°
(ii)

∠F = 51.32° , ∠G = 83.47° , ∠H = 45.21°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 45° , ∠G = 90° , ∠H = 45°
(v)

∠F = 54.56° , ∠G = 62.72° , ∠H = 62.72°

Question 24

24.

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

(i)

∠L = 60° , ∠M = 60° , ∠N = 60°
(ii)

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

∠L = 93.58° , ∠M = 47.34° , ∠N = 39.08°
(iv)

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

∠L = 35.54° , ∠M = 90° , ∠N = 54.46°

Question 25

25.

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

(i)

∠D = 76.87° , ∠E = 57.56° , ∠F = 45.57°
(ii)

∠D = 60° , ∠E = 60° , ∠F = 60°
(iii)

∠D = 104.38° , ∠E = 34.11° , ∠F = 41.51°
(iv)

∠D = 62.96° , ∠E = 44.42° , ∠F = 72.62°
(v)

∠D = 45° , ∠E = 90° , ∠F = 45°

Question 26

26.

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

(i)

∠B = 125.43° , ∠C = 28.38° , ∠D = 26.19°
(ii)

∠B = 40.24° , ∠C = 90° , ∠D = 49.76°
(iii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iv)

∠B = 122.84° , ∠C = 24.84° , ∠D = 32.32°
(v)

∠B = 54.07° , ∠C = 62.97° , ∠D = 62.96°

Question 27

27.

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

(i)

∠O = 46.46° , ∠P = 81.28° , ∠Q = 52.26°
(ii)

∠O = 54.46° , ∠P = 90° , ∠Q = 35.54°
(iii)

∠O = 112.88° , ∠P = 33.56° , ∠Q = 33.56°
(iv)

∠O = 54.31° , ∠P = 71.38° , ∠Q = 54.31°
(v)

∠O = 45° , ∠P = 90° , ∠Q = 45°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

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

∠I = 72.44° , ∠J = 53.78° , ∠K = 53.78°
(iii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iv)

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

∠I = 60° , ∠J = 60° , ∠K = 60°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠F = 47.73° , ∠G = 90° , ∠H = 42.27°
(ii)

∠F = 61.28° , ∠G = 70.81° , ∠H = 47.91°
(iii)

∠F = 85.46° , ∠G = 52.89° , ∠H = 41.65°
(iv)

∠F = 81.08° , ∠G = 49.46° , ∠H = 49.46°
(v)

∠F = 60° , ∠G = 60° , ∠H = 60°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

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

∠D = 60° , ∠E = 60° , ∠F = 60°
(iv)

∠D = 65.6° , ∠E = 57.2° , ∠F = 57.2°
(v)

∠D = 46.26° , ∠E = 66.87° , ∠F = 66.87°

Question 31

31.

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

(i)

∠A = 136.3° , ∠B = 20.21° , ∠C = 23.49°
(ii)

∠A = 38.66° , ∠B = 90° , ∠C = 51.34°
(iii)

∠A = 57.56° , ∠B = 76.87° , ∠C = 45.57°
(iv)

∠A = 56.94° , ∠B = 66.12° , ∠C = 56.94°
(v)

∠A = 60° , ∠B = 60° , ∠C = 60°

Question 32

32.

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

(i)

∠J = 56.25° , ∠K = 50.13° , ∠L = 73.62°
(ii)

∠J = 89.81° , ∠K = 33.75° , ∠L = 56.44°
(iii)

∠J = 60° , ∠K = 60° , ∠L = 60°
(iv)

∠J = 72.62° , ∠K = 44.42° , ∠L = 62.96°
(v)

∠J = 45° , ∠K = 90° , ∠L = 45°

Question 33

33.

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

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

∠D = 109.47° , ∠E = 38.94° , ∠F = 31.59°
(iii)

∠D = 61.26° , ∠E = 46.95° , ∠F = 71.79°
(iv)

∠D = 42.88° , ∠E = 90° , ∠F = 47.12°
(v)

∠D = 102.21° , ∠E = 44.9° , ∠F = 32.89°

Question 34

34.

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

(i)

∠F = 115.37° , ∠G = 29.53° , ∠H = 35.1°
(ii)

∠F = 42.71° , ∠G = 90° , ∠H = 47.29°
(iii)

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 52.62° , ∠G = 67.97° , ∠H = 59.41°
(v)

∠F = 45° , ∠G = 90° , ∠H = 45°

Question 35

35.

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

(i)

NO = 16 cm , OP = 5 cm , PN = 5 cm
(ii)

NO = 16 cm , OP = 7 cm , PN = 5 cm
(iii)

NO = 17 cm , OP = 6 cm , PN = 5 cm
(iv)

NO = 13 cm , OP = 10 cm , PN = 10 cm
(v)

NO = 6 cm , OP = 17 cm , PN = 5 cm

Question 36

36.

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

(i)

∠M = 62.10° , ∠N = 120.30° , ∠O = 116.10°
(ii)

∠M = 93.30° , ∠N = 77.70° , ∠O = 86.20°
(iii)

∠M = 90.50° , ∠N = 102.40° , ∠O = 47.60°
(iv)

∠M = 53.70° , ∠N = 97.90° , ∠O = 72.30°
(v)

∠M = 69.98° , ∠N = 61.28° , ∠O = 48.74°

Assignment Key