EduSahara™ Worksheet

Question 1

1.

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

a)

IJ
=
JK

b)

JK
=
KI

c)

KI
=
IJ

d)

JK
≠
KI

e)

IJ
≠
JK

f)

KI
≠
IJ

(i)

{e,a,b}
(ii)

{f,d,c}
(iii)

{e,b}
(iv)

{a,b,c}
(v)

{d,a}

Question 2

2.

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

a)

MK
=
KL

b)

KL
≠
LM

c)

LM
≠
MK

d)

MK
≠
KL

e)

KL
=
LM

f)

LM
=
MK

(i)

{e,b}
(ii)

{a,b,c}
(iii)

{e,a,b}
(iv)

{f,d,c}
(v)

{d,a}

Question 3

3.

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

a)

PN
=
NO

b)

PN
≠
NO

c)

OP
≠
PN

d)

OP
=
PN

e)

NO
=
OP

f)

NO
≠
OP

(i)

{a,b}
(ii)

{d,c}
(iii)

{e,a,f}
(iv)

{d,b,c}
(v)

{b,c,f}

Question 4

4.

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

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

(i)

{e,b}
(ii)

{f,d,c}
(iii)

{d,a}
(iv)

{a,b,c}
(v)

{e,a,b}

Question 5

5.

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

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

(i)

{c,a}
(ii)

{f,c,d}
(iii)

{a,b,d}
(iv)

{e,b}
(v)

{e,a,b}

Question 6

6.

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

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

(i)

{c,d}
(ii)

{b,d,f}
(iii)

{c,b,d}
(iv)

{e,a,f}
(v)

{a,b}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

JK = 15 cm , KL = 11 cm , LJ = 18.6 cm
(ii)

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

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

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

JK = 15 cm , KL = 11 cm , LJ = 10 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

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

LM = 11 cm , MN = 12 cm , NL = 13 cm
(iii)

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

LM = 15 cm , MN = 12 cm , NL = 13 cm
(v)

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

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

CD = 14 cm , DE = 15 cm , EC = 14 cm
(ii)

CD = 12 cm , DE = 14 cm , EC = 12 cm
(iii)

CD = 15 cm , DE = 15 cm , EC = 21.21 cm
(iv)

CD = 13 cm , DE = 11 cm , EC = 14 cm
(v)

CD = 11 cm , DE = 11 cm , EC = 11 cm

Question 10

10.

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

(i)

IJ = 13 cm , JK = 21 cm , KI = 14 cm
(ii)

IJ = 11 cm , JK = 14 cm , KI = 15 cm
(iii)

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

IJ = 13 cm , JK = 14 cm , KI = 15 cm
(v)

IJ = 12 cm , JK = 15 cm , KI = 19.21 cm

Question 11

11.

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

(i)

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

MN = 11 cm , NO = 16 cm , OM = 10 cm
(iii)

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

MN = 10 cm , NO = 10 cm , OM = 14.14 cm
(v)

MN = 10 cm , NO = 11 cm , OM = 12 cm

Question 12

12.

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

(i)

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

NO = 10 cm , OP = 10 cm , PN = 14.14 cm
(iii)

NO = 12 cm , OP = 21 cm , PN = 12 cm
(iv)

NO = 14 cm , OP = 20 cm , PN = 11 cm
(v)

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

Question 13

13.

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

(i)

GH = 10 cm , HI = 10 cm , IG = 12 cm
(ii)

GH = 15 cm , HI = 11 cm , IG = 18.6 cm
(iii)

GH = 11 cm , HI = 11 cm , IG = 15.56 cm
(iv)

GH = 12 cm , HI = 14 cm , IG = 10 cm
(v)

GH = 12 cm , HI = 22 cm , IG = 12 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

FG = 11 cm , GH = 10 cm , HF = 12 cm
(ii)

FG = 12 cm , GH = 10 cm , HF = 15.62 cm
(iii)

FG = 12 cm , GH = 13 cm , HF = 12 cm
(iv)

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

FG = 11 cm , GH = 11 cm , HF = 15.56 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

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

PQ = 13 cm , QR = 11 cm , RP = 12 cm
(iii)

PQ = 13 cm , QR = 14 cm , RP = 19.1 cm
(iv)

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

PQ = 15 cm , QR = 13 cm , RP = 12 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

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

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

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

FG = 12 cm , GH = 11 cm , HF = 15 cm
(v)

FG = 10 cm , GH = 12 cm , HF = 10 cm

Question 17

17.

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

(i)

LM = 13 cm , MN = 21 cm , NL = 15 cm
(ii)

LM = 12 cm , MN = 14 cm , NL = 18.44 cm
(iii)

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

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

LM = 13 cm , MN = 15 cm , NL = 11 cm

Question 18

18.

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

(i)

MN = 12 cm , NO = 13 cm , OM = 14 cm
(ii)

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

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

MN = 15 cm , NO = 21 cm , OM = 13 cm
(v)

MN = 11 cm , NO = 10 cm , OM = 12 cm

Question 19

19.

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

(i)

LM = 13 cm , MN = 10 cm , NL = 15 cm
(ii)

LM = 13 cm , MN = 19 cm , NL = 10 cm
(iii)

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

LM = 13 cm , MN = 12 cm , NL = 17.69 cm
(v)

LM = 13 cm , MN = 23 cm , NL = 12 cm

Question 20

20.

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

(i)

KL = 10 cm , LM = 10 cm , MK = 14.14 cm
(ii)

KL = 15 cm , LM = 12 cm , MK = 11 cm
(iii)

KL = 14 cm , LM = 26 cm , MK = 14 cm
(iv)

KL = 15 cm , LM = 15 cm , MK = 14 cm
(v)

KL = 13 cm , LM = 14 cm , MK = 19.1 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠P = 66.12° , ∠Q = 56.94° , ∠R = 56.94°
(ii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iii)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(iv)

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

∠P = 62.96° , ∠Q = 44.42° , ∠R = 72.62°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠E = 66.74° , ∠F = 56.63° , ∠G = 56.63°
(ii)

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

∠E = 49.32° , ∠F = 74.85° , ∠G = 55.83°
(iv)

∠E = 60° , ∠F = 60° , ∠G = 60°
(v)

∠E = 53.13° , ∠F = 59.49° , ∠G = 67.38°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠H = 54.56° , ∠I = 62.72° , ∠J = 62.72°
(ii)

∠H = 55.3° , ∠I = 76.33° , ∠J = 48.37°
(iii)

∠H = 60° , ∠I = 60° , ∠J = 60°
(iv)

∠H = 45° , ∠I = 90° , ∠J = 45°
(v)

∠H = 38.94° , ∠I = 70.53° , ∠J = 70.53°

Question 24

24.

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

(i)

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

∠N = 53.13° , ∠O = 59.49° , ∠P = 67.38°
(iii)

∠N = 38.66° , ∠O = 90° , ∠P = 51.34°
(iv)

∠N = 127.38° , ∠O = 25.33° , ∠P = 27.29°
(v)

∠N = 60° , ∠O = 60° , ∠P = 60°

Question 25

25.

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

(i)

∠A = 55.3° , ∠B = 48.37° , ∠C = 76.33°
(ii)

∠A = 102.21° , ∠B = 44.9° , ∠C = 32.89°
(iii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iv)

∠A = 45.24° , ∠B = 67.38° , ∠C = 67.38°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 26

26.

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

(i)

∠C = 49.09° , ∠D = 90° , ∠E = 40.91°
(ii)

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

∠C = 119.46° , ∠D = 30.27° , ∠E = 30.27°
(iv)

∠C = 45° , ∠D = 90° , ∠E = 45°
(v)

∠C = 93.32° , ∠D = 43.34° , ∠E = 43.34°

Question 27

27.

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

(i)

∠D = 49.76° , ∠E = 90° , ∠F = 40.24°
(ii)

∠D = 45° , ∠E = 90° , ∠F = 45°
(iii)

∠D = 48.74° , ∠E = 69.98° , ∠F = 61.28°
(iv)

∠D = 126.32° , ∠E = 24.77° , ∠F = 28.91°
(v)

∠D = 55.3° , ∠E = 48.37° , ∠F = 76.33°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠G = 48.37° , ∠H = 76.33° , ∠I = 55.3°
(ii)

∠G = 45° , ∠H = 90° , ∠I = 45°
(iii)

∠G = 46.26° , ∠H = 66.87° , ∠I = 66.87°
(iv)

∠G = 60° , ∠H = 60° , ∠I = 60°
(v)

∠G = 47.12° , ∠H = 90° , ∠I = 42.88°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠K = 72.44° , ∠L = 53.78° , ∠M = 53.78°
(ii)

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

∠K = 48.37° , ∠L = 76.33° , ∠M = 55.3°
(iv)

∠K = 45.21° , ∠L = 51.32° , ∠M = 83.47°
(v)

∠K = 60° , ∠L = 60° , ∠M = 60°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 97.18° , ∠G = 41.41° , ∠H = 41.41°
(ii)

∠F = 45° , ∠G = 90° , ∠H = 45°
(iii)

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

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

∠F = 60° , ∠G = 60° , ∠H = 60°

Question 31

31.

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

(i)

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

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

∠D = 60° , ∠E = 60° , ∠F = 60°
(iv)

∠D = 53.13° , ∠E = 59.49° , ∠F = 67.38°
(v)

∠D = 110.26° , ∠E = 32.02° , ∠F = 37.72°

Question 32

32.

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

(i)

∠J = 60° , ∠K = 60° , ∠L = 60°
(ii)

∠J = 45° , ∠K = 90° , ∠L = 45°
(iii)

∠J = 98.85° , ∠K = 42.54° , ∠L = 38.61°
(iv)

∠J = 78.46° , ∠K = 57.12° , ∠L = 44.42°
(v)

∠J = 85.46° , ∠K = 52.89° , ∠L = 41.65°

Question 33

33.

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

(i)

∠F = 55.33° , ∠G = 62.33° , ∠H = 62.34°
(ii)

∠F = 130.76° , ∠G = 24.62° , ∠H = 24.62°
(iii)

∠F = 103.34° , ∠G = 41.56° , ∠H = 35.1°
(iv)

∠F = 53.75° , ∠G = 90° , ∠H = 36.25°
(v)

∠F = 45° , ∠G = 90° , ∠H = 45°

Question 34

34.

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

(i)

∠F = 91.04° , ∠G = 47.16° , ∠H = 41.8°
(ii)

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

∠F = 45° , ∠G = 90° , ∠H = 45°
(iv)

∠F = 69.98° , ∠G = 61.28° , ∠H = 48.74°
(v)

∠F = 85.98° , ∠G = 47.01° , ∠H = 47.01°

Question 35

35.

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

(i)

OP = 19 cm , PQ = 6 cm , QO = 11 cm
(ii)

OP = 7 cm , PQ = 9 cm , QO = 20 cm
(iii)

OP = 11 cm , PQ = 10 cm , QO = 15 cm
(iv)

OP = 12 cm , PQ = 7 cm , QO = 20 cm
(v)

OP = 10 cm , PQ = 19 cm , QO = 6 cm

Question 36

36.

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

(i)

∠D = 33.40° , ∠E = 60.30° , ∠F = 85.70°
(ii)

∠D = 45.20° , ∠E = 47.10° , ∠F = 95.20°
(iii)

∠D = 76.80° , ∠E = 77.50° , ∠F = 119.50°
(iv)

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

∠D = 72.40° , ∠E = 86.70° , ∠F = 49.30°

Assignment Key