EduSahara™ Worksheet

Question 1

1.

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

a)

OP
=
PN

b)

PN
=
NO

c)

OP
≠
PN

d)

PN
≠
NO

e)

NO
=
OP

f)

NO
≠
OP

(i)

{a,b,e}
(ii)

{d,a,b}
(iii)

{d,b}
(iv)

{c,a}
(v)

{f,c,e}

Question 2

2.

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

a)

QR
=
RP

b)

RP
=
PQ

c)

PQ
≠
QR

d)

PQ
=
QR

e)

RP
≠
PQ

f)

QR
≠
RP

(i)

{e,a,f}
(ii)

{a,b}
(iii)

{d,b,c}
(iv)

{d,c}
(v)

{b,c,f}

Question 3

3.

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

a)

EC
=
CD

b)

EC
≠
CD

c)

DE
≠
EC

d)

DE
=
EC

e)

CD
≠
DE

f)

CD
=
DE

(i)

{b,c,e}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{f,a,e}
(v)

{d,b,c}

Question 4

4.

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

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

(i)

{c,a,f}
(ii)

{d,e,f}
(iii)

{a,d}
(iv)

{b,d,e}
(v)

{b,e}

Question 5

5.

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

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

(i)

{c,d}
(ii)

{a,d,f}
(iii)

{c,a,d}
(iv)

{e,b,f}
(v)

{b,a}

Question 6

6.

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

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

(i)

{d,b,c}
(ii)

{a,b}
(iii)

{e,a,f}
(iv)

{d,c}
(v)

{b,c,f}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

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

LM = 11 cm , MN = 15 cm , NL = 13 cm
(iii)

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

LM = 10 cm , MN = 13 cm , NL = 16.4 cm
(v)

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

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

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

LM = 11 cm , MN = 10 cm , NL = 14 cm
(iii)

LM = 10 cm , MN = 12 cm , NL = 10 cm
(iv)

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

LM = 11 cm , MN = 12 cm , NL = 16.28 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

JK = 13 cm , KL = 10 cm , LJ = 14 cm
(ii)

JK = 13 cm , KL = 13 cm , LJ = 18.38 cm
(iii)

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

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

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

Question 10

10.

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

(i)

DE = 11 cm , EF = 14 cm , FD = 13 cm
(ii)

DE = 15 cm , EF = 14 cm , FD = 20.52 cm
(iii)

DE = 15 cm , EF = 25 cm , FD = 14 cm
(iv)

DE = 15 cm , EF = 10 cm , FD = 15 cm
(v)

DE = 15 cm , EF = 15 cm , FD = 15 cm

Question 11

11.

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

(i)

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

BC = 10 cm , CD = 15 cm , DB = 12 cm
(iii)

BC = 10 cm , CD = 16 cm , DB = 12 cm
(iv)

BC = 15 cm , CD = 15 cm , DB = 21.21 cm
(v)

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

Question 12

12.

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

(i)

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

CD = 15 cm , DE = 26 cm , EC = 13 cm
(iii)

CD = 10 cm , DE = 12 cm , EC = 13 cm
(iv)

CD = 12 cm , DE = 13 cm , EC = 17.69 cm
(v)

CD = 12 cm , DE = 23 cm , EC = 13 cm

Question 13

13.

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

(i)

EF = 12 cm , FG = 14 cm , GE = 18.44 cm
(ii)

EF = 14 cm , FG = 14 cm , GE = 19.8 cm
(iii)

EF = 13 cm , FG = 15 cm , GE = 14 cm
(iv)

EF = 11 cm , FG = 21 cm , GE = 12 cm
(v)

EF = 10 cm , FG = 15 cm , GE = 12 cm

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

PQ = 13 cm , QR = 11 cm , RP = 17.03 cm
(ii)

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

PQ = 12 cm , QR = 11 cm , RP = 12 cm
(iv)

PQ = 13 cm , QR = 13 cm , RP = 18.38 cm
(v)

PQ = 10 cm , QR = 10 cm , RP = 10 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

BC = 15 cm , CD = 10 cm , DB = 11 cm
(ii)

BC = 12 cm , CD = 11 cm , DB = 16.28 cm
(iii)

BC = 15 cm , CD = 10 cm , DB = 15 cm
(iv)

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

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

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
(ii)

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

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

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

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

Question 17

17.

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

(i)

FG = 14 cm , GH = 14 cm , HF = 15 cm
(ii)

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

FG = 15 cm , GH = 23 cm , HF = 14 cm
(iv)

FG = 12 cm , GH = 11 cm , HF = 13 cm
(v)

FG = 12 cm , GH = 10 cm , HF = 15.62 cm

Question 18

18.

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

(i)

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

AB = 10 cm , BC = 10 cm , CA = 14.14 cm
(iii)

AB = 11 cm , BC = 13 cm , CA = 15 cm
(iv)

AB = 15 cm , BC = 19 cm , CA = 10 cm
(v)

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

Question 19

19.

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

(i)

KL = 15 cm , LM = 20 cm , MK = 10 cm
(ii)

KL = 12 cm , LM = 13 cm , MK = 15 cm
(iii)

KL = 13 cm , LM = 20 cm , MK = 13 cm
(iv)

KL = 13 cm , LM = 11 cm , MK = 17.03 cm
(v)

KL = 11 cm , LM = 11 cm , MK = 15.56 cm

Question 20

20.

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

(i)

PQ = 11 cm , QR = 14 cm , RP = 17.8 cm
(ii)

PQ = 10 cm , QR = 12 cm , RP = 13 cm
(iii)

PQ = 14 cm , QR = 24 cm , RP = 13 cm
(iv)

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

PQ = 10 cm , QR = 10 cm , RP = 14.14 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 60° , ∠B = 60° , ∠C = 60°
(ii)

∠A = 37.57° , ∠B = 90° , ∠C = 52.43°
(iii)

∠A = 74.85° , ∠B = 49.32° , ∠C = 55.83°
(iv)

∠A = 45° , ∠B = 90° , ∠C = 45°
(v)

∠A = 38.94° , ∠B = 70.53° , ∠C = 70.53°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

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

∠P = 59.17° , ∠Q = 69.51° , ∠R = 51.32°
(iii)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iv)

∠P = 77.36° , ∠Q = 51.32° , ∠R = 51.32°
(v)

∠P = 61.28° , ∠Q = 47.91° , ∠R = 70.81°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠J = 60° , ∠K = 60° , ∠L = 60°
(ii)

∠J = 57.56° , ∠K = 45.57° , ∠L = 76.87°
(iii)

∠J = 79.04° , ∠K = 50.48° , ∠L = 50.48°
(iv)

∠J = 45° , ∠K = 90° , ∠L = 45°
(v)

∠J = 65.16° , ∠K = 57.42° , ∠L = 57.42°

Question 24

24.

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

(i)

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

∠D = 59.17° , ∠E = 69.51° , ∠F = 51.32°
(iii)

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

∠D = 60° , ∠E = 60° , ∠F = 60°
(v)

∠D = 98.21° , ∠E = 34.96° , ∠F = 46.83°

Question 25

25.

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

(i)

∠E = 51.32° , ∠F = 83.47° , ∠G = 45.21°
(ii)

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

∠E = 60° , ∠F = 60° , ∠G = 60°
(iv)

∠E = 45° , ∠F = 90° , ∠G = 45°
(v)

∠E = 108° , ∠F = 34.02° , ∠G = 37.98°

Question 26

26.

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

(i)

∠M = 122.01° , ∠N = 35.32° , ∠O = 22.67°
(ii)

∠M = 102.21° , ∠N = 44.9° , ∠O = 32.89°
(iii)

∠M = 66.74° , ∠N = 56.63° , ∠O = 56.63°
(iv)

∠M = 45° , ∠N = 90° , ∠O = 45°
(v)

∠M = 38.16° , ∠N = 90° , ∠O = 51.84°

Question 27

27.

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

(i)

∠I = 52.43° , ∠J = 90° , ∠K = 37.57°
(ii)

∠I = 45° , ∠J = 90° , ∠K = 45°
(iii)

∠I = 121.87° , ∠J = 31.72° , ∠K = 26.41°
(iv)

∠I = 48.37° , ∠J = 55.3° , ∠K = 76.33°
(v)

∠I = 55.3° , ∠J = 76.33° , ∠K = 48.37°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠E = 45° , ∠F = 90° , ∠G = 45°
(ii)

∠E = 60° , ∠F = 60° , ∠G = 60°
(iii)

∠E = 39.81° , ∠F = 90° , ∠G = 50.19°
(iv)

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

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

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠P = 42.51° , ∠Q = 90° , ∠R = 47.49°
(ii)

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

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

∠P = 60° , ∠Q = 60° , ∠R = 60°
(v)

∠P = 59.49° , ∠Q = 67.38° , ∠R = 53.13°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠D = 45° , ∠E = 90° , ∠F = 45°
(ii)

∠D = 38.94° , ∠E = 70.53° , ∠F = 70.53°
(iii)

∠D = 60° , ∠E = 60° , ∠F = 60°
(iv)

∠D = 70.81° , ∠E = 61.28° , ∠F = 47.91°
(v)

∠D = 77.36° , ∠E = 51.32° , ∠F = 51.32°

Question 31

31.

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

(i)

∠L = 73.62° , ∠M = 50.13° , ∠N = 56.25°
(ii)

∠L = 42.27° , ∠M = 90° , ∠N = 47.73°
(iii)

∠L = 100.56° , ∠M = 39.72° , ∠N = 39.72°
(iv)

∠L = 60° , ∠M = 60° , ∠N = 60°
(v)

∠L = 71.79° , ∠M = 61.26° , ∠N = 46.95°

Question 32

32.

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

(i)

∠N = 60° , ∠O = 60° , ∠P = 60°
(ii)

∠N = 45° , ∠O = 90° , ∠P = 45°
(iii)

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

∠N = 81.28° , ∠O = 52.26° , ∠P = 46.46°
(v)

∠N = 45.21° , ∠O = 83.47° , ∠P = 51.32°

Question 33

33.

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

(i)

∠G = 103.34° , ∠H = 35.1° , ∠I = 41.56°
(ii)

∠G = 45° , ∠H = 90° , ∠I = 45°
(iii)

∠G = 42.27° , ∠H = 90° , ∠I = 47.73°
(iv)

∠G = 121.87° , ∠H = 26.41° , ∠I = 31.72°
(v)

∠G = 45.21° , ∠H = 83.47° , ∠I = 51.32°

Question 34

34.

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

(i)

∠P = 100.29° , ∠Q = 36.18° , ∠R = 43.53°
(ii)

∠P = 51.84° , ∠Q = 90° , ∠R = 38.16°
(iii)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(iv)

∠P = 56.63° , ∠Q = 66.74° , ∠R = 56.63°
(v)

∠P = 62.97° , ∠Q = 62.96° , ∠R = 54.07°

Question 35

35.

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

(i)

LM = 19 cm , MN = 8 cm , NL = 8 cm
(ii)

LM = 6 cm , MN = 19 cm , NL = 6 cm
(iii)

LM = 7 cm , MN = 14 cm , NL = 6 cm
(iv)

LM = 17 cm , MN = 7 cm , NL = 6 cm
(v)

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

Question 36

36.

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

(i)

∠L = 30.60° , ∠M = 35.20° , ∠N = 86.90°
(ii)

∠L = 71.10° , ∠M = 78.70° , ∠N = 117.50°
(iii)

∠L = 51.32° , ∠M = 51.32° , ∠N = 77.36°
(iv)

∠L = 100.60° , ∠M = 49.30° , ∠N = 47.80°
(v)

∠L = 90.40° , ∠M = 96.50° , ∠N = 100.90°

Assignment Key