EduSahara™ Worksheet

Question 1

1.

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

a)

BC
≠
CD

b)

BC
=
CD

c)

DB
≠
BC

d)

DB
=
BC

e)

CD
≠
DB

f)

CD
=
DB

(i)

{a,b}
(ii)

{c,d}
(iii)

{b,d,f}
(iv)

{c,b,d}
(v)

{e,a,f}

Question 2

2.

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

a)

GH
≠
HF

b)

HF
=
FG

c)

FG
=
GH

d)

FG
≠
GH

e)

GH
=
HF

f)

HF
≠
FG

(i)

{e,b}
(ii)

{e,a,b}
(iii)

{a,b,d}
(iv)

{f,c,d}
(v)

{c,a}

Question 3

3.

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

a)

PQ
=
QR

b)

RP
=
PQ

c)

RP
≠
PQ

d)

QR
=
RP

e)

PQ
≠
QR

f)

QR
≠
RP

(i)

{b,e}
(ii)

{a,c}
(iii)

{d,a,f}
(iv)

{b,c,e}
(v)

{c,e,f}

Question 4

4.

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

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

(i)

{a,c,e}
(ii)

{d,c}
(iii)

{b,a}
(iv)

{f,b,e}
(v)

{d,a,c}

Question 5

5.

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

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

(i)

{c,a}
(ii)

{d,b}
(iii)

{d,a,b}
(iv)

{e,c,f}
(v)

{a,b,f}

Question 6

6.

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

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

(i)

{a,c}
(ii)

{c,d,f}
(iii)

{e,a,f}
(iv)

{b,c,d}
(v)

{b,d}

Question 7

7.

Which of the following are measures of an equilateral triangle ?

(i)

BC = 13 cm , CD = 12 cm , DB = 14 cm
(ii)

BC = 13 cm , CD = 15 cm , DB = 19.85 cm
(iii)

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

BC = 14 cm , CD = 14 cm , DB = 19.8 cm
(v)

BC = 15 cm , CD = 15 cm , DB = 15 cm

Question 8

8.

Which of the following are measures of an isosceles triangle ?

(i)

EF = 13 cm , FG = 10 cm , GE = 14 cm
(ii)

EF = 10 cm , FG = 11 cm , GE = 10 cm
(iii)

EF = 10 cm , FG = 13 cm , GE = 16.4 cm
(iv)

EF = 10 cm , FG = 13 cm , GE = 11 cm
(v)

EF = 12 cm , FG = 12 cm , GE = 12 cm

Question 9

9.

Which of the following are measures of a scalene triangle ?

(i)

CD = 12 cm , DE = 11 cm , EC = 12 cm
(ii)

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

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

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

CD = 13 cm , DE = 11 cm , EC = 14 cm

Question 10

10.

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

(i)

CD = 10 cm , DE = 15 cm , EC = 18.03 cm
(ii)

CD = 15 cm , DE = 22 cm , EC = 12 cm
(iii)

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

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

CD = 14 cm , DE = 12 cm , EC = 12 cm

Question 11

11.

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

(i)

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

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

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

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

LM = 10 cm , MN = 10 cm , NL = 14.14 cm

Question 12

12.

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

(i)

LM = 12 cm , MN = 24 cm , NL = 15 cm
(ii)

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

LM = 11 cm , MN = 14 cm , NL = 17.8 cm
(iv)

LM = 11 cm , MN = 11 cm , NL = 15.56 cm
(v)

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

Question 13

13.

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

(i)

DE = 12 cm , EF = 11 cm , FD = 11 cm
(ii)

DE = 13 cm , EF = 12 cm , FD = 17.69 cm
(iii)

DE = 10 cm , EF = 10 cm , FD = 14.14 cm
(iv)

DE = 14 cm , EF = 23 cm , FD = 15 cm
(v)

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

Question 14

14.

Which of the following are measures of an equilateral triangle ?

(i)

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

BC = 11 cm , CD = 10 cm , DB = 14.87 cm
(iii)

BC = 10 cm , CD = 13 cm , DB = 10 cm
(iv)

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

BC = 15 cm , CD = 15 cm , DB = 15 cm

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

NO = 10 cm , OP = 15 cm , PN = 10 cm
(ii)

NO = 12 cm , OP = 15 cm , PN = 13 cm
(iii)

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

NO = 15 cm , OP = 12 cm , PN = 13 cm
(v)

NO = 15 cm , OP = 10 cm , PN = 18.03 cm

Question 16

16.

Which of the following are measures of a scalene triangle ?

(i)

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

HI = 13 cm , IJ = 13 cm , JH = 18.38 cm
(iii)

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

HI = 12 cm , IJ = 11 cm , JH = 13 cm
(v)

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

Question 17

17.

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

(i)

LM = 12 cm , MN = 17 cm , NL = 11 cm
(ii)

LM = 13 cm , MN = 14 cm , NL = 19.1 cm
(iii)

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

LM = 15 cm , MN = 14 cm , NL = 11 cm
(v)

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

Question 18

18.

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

(i)

EF = 15 cm , FG = 14 cm , GE = 11 cm
(ii)

EF = 11 cm , FG = 11 cm , GE = 11 cm
(iii)

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

EF = 10 cm , FG = 14 cm , GE = 15 cm
(v)

EF = 13 cm , FG = 13 cm , GE = 18.38 cm

Question 19

19.

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

(i)

NO = 12 cm , OP = 12 cm , PN = 16.97 cm
(ii)

NO = 13 cm , OP = 14 cm , PN = 14 cm
(iii)

NO = 10 cm , OP = 12 cm , PN = 15.62 cm
(iv)

NO = 13 cm , OP = 22 cm , PN = 13 cm
(v)

NO = 14 cm , OP = 26 cm , PN = 15 cm

Question 20

20.

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

(i)

AB = 15 cm , BC = 15 cm , CA = 21.21 cm
(ii)

AB = 14 cm , BC = 13 cm , CA = 12 cm
(iii)

AB = 15 cm , BC = 12 cm , CA = 19.21 cm
(iv)

AB = 15 cm , BC = 26 cm , CA = 14 cm
(v)

AB = 14 cm , BC = 12 cm , CA = 15 cm

Question 21

21.

Which of the following are measures of an equilateral triangle ?

(i)

∠P = 44.42° , ∠Q = 57.12° , ∠R = 78.46°
(ii)

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

∠P = 60° , ∠Q = 60° , ∠R = 60°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 51.34° , ∠Q = 90° , ∠R = 38.66°

Question 22

22.

Which of the following are measures of an isosceles triangle ?

(i)

∠I = 88.86° , ∠J = 45.57° , ∠K = 45.57°
(ii)

∠I = 51.32° , ∠J = 45.21° , ∠K = 83.47°
(iii)

∠I = 38.16° , ∠J = 90° , ∠K = 51.84°
(iv)

∠I = 60° , ∠J = 60° , ∠K = 60°
(v)

∠I = 52.26° , ∠J = 46.46° , ∠K = 81.28°

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

∠C = 45° , ∠D = 90° , ∠E = 45°
(ii)

∠C = 59.3° , ∠D = 52.02° , ∠E = 68.68°
(iii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iv)

∠C = 66.12° , ∠D = 56.94° , ∠E = 56.94°
(v)

∠C = 71.38° , ∠D = 54.31° , ∠E = 54.31°

Question 24

24.

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

(i)

∠D = 47.49° , ∠E = 90° , ∠F = 42.51°
(ii)

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

∠D = 60° , ∠E = 60° , ∠F = 60°
(iv)

∠D = 51.32° , ∠E = 83.47° , ∠F = 45.21°
(v)

∠D = 129.52° , ∠E = 23.95° , ∠F = 26.53°

Question 25

25.

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

(i)

∠G = 101.53° , ∠H = 44.42° , ∠I = 34.05°
(ii)

∠G = 60° , ∠H = 60° , ∠I = 60°
(iii)

∠G = 81.28° , ∠H = 52.26° , ∠I = 46.46°
(iv)

∠G = 45° , ∠H = 90° , ∠I = 45°
(v)

∠G = 61.26° , ∠H = 46.95° , ∠I = 71.79°

Question 26

26.

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

(i)

∠B = 121.19° , ∠C = 24.04° , ∠D = 34.77°
(ii)

∠B = 45° , ∠C = 90° , ∠D = 45°
(iii)

∠B = 62.52° , ∠C = 54.97° , ∠D = 62.51°
(iv)

∠B = 47.49° , ∠C = 90° , ∠D = 42.51°
(v)

∠B = 100.56° , ∠C = 39.72° , ∠D = 39.72°

Question 27

27.

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

(i)

∠F = 45° , ∠G = 90° , ∠H = 45°
(ii)

∠F = 43.02° , ∠G = 68.49° , ∠H = 68.49°
(iii)

∠F = 73.74° , ∠G = 53.13° , ∠H = 53.13°
(iv)

∠F = 40.6° , ∠G = 90° , ∠H = 49.4°
(v)

∠F = 111.32° , ∠G = 32.64° , ∠H = 36.04°

Question 28

28.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 45° , ∠B = 90° , ∠C = 45°
(ii)

∠A = 42.27° , ∠B = 90° , ∠C = 47.73°
(iii)

∠A = 64.78° , ∠B = 57.61° , ∠C = 57.61°
(iv)

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

∠A = 60° , ∠B = 60° , ∠C = 60°

Question 29

29.

Which of the following are measures of an isosceles triangle ?

(i)

∠C = 48.74° , ∠D = 61.28° , ∠E = 69.98°
(ii)

∠C = 54.46° , ∠D = 90° , ∠E = 35.54°
(iii)

∠C = 79.04° , ∠D = 50.48° , ∠E = 50.48°
(iv)

∠C = 73.62° , ∠D = 56.25° , ∠E = 50.13°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 30

30.

Which of the following are measures of a scalene triangle ?

(i)

∠C = 45° , ∠D = 90° , ∠E = 45°
(ii)

∠C = 62.96° , ∠D = 44.42° , ∠E = 72.62°
(iii)

∠C = 88.86° , ∠D = 45.57° , ∠E = 45.57°
(iv)

∠C = 64.78° , ∠D = 57.61° , ∠E = 57.61°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 31

31.

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

(i)

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

∠A = 54.56° , ∠B = 62.72° , ∠C = 62.72°
(iii)

∠A = 60° , ∠B = 60° , ∠C = 60°
(iv)

∠A = 49.09° , ∠B = 90° , ∠C = 40.91°
(v)

∠A = 67.38° , ∠B = 59.49° , ∠C = 53.13°

Question 32

32.

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

(i)

∠C = 56.63° , ∠D = 56.63° , ∠E = 66.74°
(ii)

∠C = 73.62° , ∠D = 50.13° , ∠E = 56.25°
(iii)

∠C = 60° , ∠D = 60° , ∠E = 60°
(iv)

∠C = 123.68° , ∠D = 23.45° , ∠E = 32.87°
(v)

∠C = 45° , ∠D = 90° , ∠E = 45°

Question 33

33.

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

(i)

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

∠G = 45° , ∠H = 90° , ∠I = 45°
(iii)

∠G = 38.66° , ∠H = 90° , ∠I = 51.34°
(iv)

∠G = 46.95° , ∠H = 61.26° , ∠I = 71.79°
(v)

∠G = 124.23° , ∠H = 30.22° , ∠I = 25.55°

Question 34

34.

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

(i)

∠K = 44.42° , ∠L = 78.46° , ∠M = 57.12°
(ii)

∠K = 98.85° , ∠L = 42.54° , ∠M = 38.61°
(iii)

∠K = 66.42° , ∠L = 66.42° , ∠M = 47.16°
(iv)

∠K = 51.84° , ∠L = 90° , ∠M = 38.16°
(v)

∠K = 45° , ∠L = 90° , ∠M = 45°

Question 35

35.

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

(i)

CD = 11 cm , DE = 6 cm , EC = 19 cm
(ii)

CD = 5 cm , DE = 5 cm , EC = 19 cm
(iii)

CD = 17 cm , DE = 7 cm , EC = 8 cm
(iv)

CD = 16 cm , DE = 9 cm , EC = 5 cm
(v)

CD = 10 cm , DE = 11 cm , EC = 12 cm

Question 36

36.

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

(i)

∠N = 68.49° , ∠O = 68.49° , ∠P = 43.02°
(ii)

∠N = 68.49° , ∠O = 68.49° , ∠P = 43.02°

Assignment Key