EduSahara™ Worksheet

Question 1

1.

Identify the figure below

(i)

triangle
(ii)

decagon
(iii)

circle
(iv)

angle
(v)

nonagon

Question 2

2.

The side opposite to the vertex
T

(i)

UV
(ii)

TX
(iii)

VT
(iv)

TU
(v)

WU

Question 3

3.

The side opposite to the vertex
F

(i)

EI
(ii)

EF
(iii)

HF
(iv)

FG
(v)

GE

Question 4

4.

The side opposite to the vertex
P

(i)

NR
(ii)

QO
(iii)

NO
(iv)

OP
(v)

PN

Question 5

5.

The vertex opposite to the side
ST

(i)

R
(ii)

S
(iii)

TU
(iv)

V

Question 6

6.

The vertex opposite to the side
LJ

(i)

N
(ii)

J
(iii)

LM
(iv)

K

Question 7

7.

The vertex opposite to the side
PQ

(i)

RS
(ii)

R
(iii)

P
(iv)

Q

Question 8

8.

The median corresponding to the side
CD

(i)

BC
(ii)

BE
(iii)

CF
(iv)

BF
(v)

DG

Question 9

9.

The median corresponding to the side
KI

(i)

JM
(ii)

IJ
(iii)

IL
(iv)

IM
(v)

KN

Question 10

10.

The median corresponding to the side
DE

(i)

DH
(ii)

DE
(iii)

DG
(iv)

EH
(v)

FI

Question 11

11.

The sides of the triangle are

(i)

MO

,

OL

,

LM
(ii)

LN

,

NK

,

KL
(iii)

NO

,

OM

,

MN
(iv)

LM

,

MK

,

KL
(v)

MN

,

NL

,

LM

Question 12

12.

The name of the triangle is

(i)

△HIK
(ii)

△IJL
(iii)

△JKL
(iv)

△HIJ
(v)

△IJK

Question 13

13.

Which of the following are measures of an equilateral triangle ?

(i)

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

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

IJ = 11 cm , JK = 12 cm , KI = 11 cm
(iv)

IJ = 10 cm , JK = 10 cm , KI = 14.14 cm
(v)

IJ = 14 cm , JK = 10 cm , KI = 17.2 cm

Question 14

14.

Which of the following are measures of an isosceles triangle ?

(i)

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

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

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

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

PQ = 10 cm , QR = 15 cm , RP = 18.03 cm

Question 15

15.

Which of the following are measures of a scalene triangle ?

(i)

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

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

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

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

HI = 10 cm , IJ = 12 cm , JH = 10 cm

Question 16

16.

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

(i)

NO = 14 cm , OP = 13 cm , PN = 10 cm
(ii)

NO = 12 cm , OP = 20 cm , PN = 15 cm
(iii)

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

NO = 13 cm , OP = 11 cm , PN = 17.03 cm
(v)

NO = 13 cm , OP = 13 cm , PN = 13 cm

Question 17

17.

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

(i)

HI = 10 cm , IJ = 18 cm , JH = 10 cm
(ii)

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

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

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

HI = 14 cm , IJ = 11 cm , JH = 14 cm

Question 18

18.

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

(i)

MN = 11 cm , NO = 13 cm , OM = 17.03 cm
(ii)

MN = 14 cm , NO = 14 cm , OM = 13 cm
(iii)

MN = 11 cm , NO = 19 cm , OM = 10 cm
(iv)

MN = 14 cm , NO = 26 cm , OM = 14 cm
(v)

MN = 13 cm , NO = 13 cm , OM = 18.38 cm

Question 19

19.

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

(i)

DE = 10 cm , EF = 19 cm , FD = 10 cm
(ii)

DE = 12 cm , EF = 14 cm , FD = 18.44 cm
(iii)

DE = 12 cm , EF = 12 cm , FD = 16.97 cm
(iv)

DE = 15 cm , EF = 10 cm , FD = 14 cm
(v)

DE = 12 cm , EF = 10 cm , FD = 15 cm

Question 20

20.

Which of the following are measures of an equilateral triangle ?

(i)

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

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

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

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

OP = 11 cm , PQ = 11 cm , QO = 15.56 cm

Question 21

21.

Which of the following are measures of an isosceles triangle ?

(i)

NO = 14 cm , OP = 14 cm , PN = 14 cm
(ii)

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

NO = 10 cm , OP = 15 cm , PN = 12 cm
(iv)

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

NO = 13 cm , OP = 12 cm , PN = 17.69 cm

Question 22

22.

Which of the following are measures of a scalene triangle ?

(i)

FG = 10 cm , GH = 14 cm , HF = 10 cm
(ii)

FG = 14 cm , GH = 11 cm , HF = 10 cm
(iii)

FG = 12 cm , GH = 12 cm , HF = 16.97 cm
(iv)

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

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

Question 23

23.

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

(i)

JK = 14 cm , KL = 10 cm , LJ = 17.2 cm
(ii)

JK = 15 cm , KL = 14 cm , LJ = 12 cm
(iii)

JK = 10 cm , KL = 10 cm , LJ = 11 cm
(iv)

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

JK = 12 cm , KL = 18 cm , LJ = 13 cm

Question 24

24.

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

(i)

BC = 11 cm , CD = 11 cm , DB = 15.56 cm
(ii)

BC = 15 cm , CD = 11 cm , DB = 14 cm
(iii)

BC = 12 cm , CD = 20 cm , DB = 12 cm
(iv)

BC = 11 cm , CD = 12 cm , DB = 15 cm
(v)

BC = 11 cm , CD = 11 cm , DB = 11 cm

Question 25

25.

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

(i)

NO = 10 cm , OP = 16 cm , PN = 11 cm
(ii)

NO = 14 cm , OP = 23 cm , PN = 14 cm
(iii)

NO = 10 cm , OP = 14 cm , PN = 17.2 cm
(iv)

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

NO = 12 cm , OP = 12 cm , PN = 16.97 cm

Question 26

26.

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

(i)

EF = 13 cm , FG = 24 cm , GE = 14 cm
(ii)

EF = 14 cm , FG = 14 cm , GE = 10 cm
(iii)

EF = 13 cm , FG = 14 cm , GE = 12 cm
(iv)

EF = 13 cm , FG = 13 cm , GE = 18.38 cm
(v)

EF = 10 cm , FG = 14 cm , GE = 17.2 cm

Question 27

27.

Which of the following are measures of an equilateral triangle ?

(i)

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

∠L = 45° , ∠M = 90° , ∠N = 45°
(iii)

∠L = 70.81° , ∠M = 61.28° , ∠N = 47.91°
(iv)

∠L = 60° , ∠M = 60° , ∠N = 60°
(v)

∠L = 36.25° , ∠M = 90° , ∠N = 53.75°

Question 28

28.

Which of the following are measures of an isosceles triangle ?

(i)

∠H = 58.67° , ∠I = 41.08° , ∠J = 80.25°
(ii)

∠H = 40.6° , ∠I = 90° , ∠J = 49.4°
(iii)

∠H = 60° , ∠I = 60° , ∠J = 60°
(iv)

∠H = 45.21° , ∠I = 83.47° , ∠J = 51.32°
(v)

∠H = 65.16° , ∠I = 57.42° , ∠J = 57.42°

Question 29

29.

Which of the following are measures of a scalene triangle ?

(i)

∠F = 79.04° , ∠G = 50.48° , ∠H = 50.48°
(ii)

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

∠F = 60° , ∠G = 60° , ∠H = 60°
(iv)

∠F = 45° , ∠G = 90° , ∠H = 45°
(v)

∠F = 76.87° , ∠G = 45.57° , ∠H = 57.56°

Question 30

30.

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

(i)

∠M = 60° , ∠N = 60° , ∠O = 60°
(ii)

∠M = 63.03° , ∠N = 73.69° , ∠O = 43.28°
(iii)

∠M = 43.28° , ∠N = 63.03° , ∠O = 73.69°
(iv)

∠M = 100.29° , ∠N = 43.53° , ∠O = 36.18°
(v)

∠M = 49.09° , ∠N = 90° , ∠O = 40.91°

Question 31

31.

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

(i)

∠P = 60° , ∠Q = 60° , ∠R = 60°
(ii)

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

∠P = 61.28° , ∠Q = 69.98° , ∠R = 48.74°
(iv)

∠P = 45° , ∠Q = 90° , ∠R = 45°
(v)

∠P = 100.12° , ∠Q = 39.94° , ∠R = 39.94°

Question 32

32.

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

(i)

∠A = 48.74° , ∠B = 69.98° , ∠C = 61.28°
(ii)

∠A = 106.26° , ∠B = 36.87° , ∠C = 36.87°
(iii)

∠A = 96.89° , ∠B = 51.61° , ∠C = 31.5°
(iv)

∠A = 45° , ∠B = 90° , ∠C = 45°
(v)

∠A = 38.16° , ∠B = 90° , ∠C = 51.84°

Question 33

33.

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

(i)

∠K = 43.03° , ∠L = 90° , ∠M = 46.97°
(ii)

∠K = 45° , ∠L = 90° , ∠M = 45°
(iii)

∠K = 40.16° , ∠L = 75.31° , ∠M = 64.53°
(iv)

∠K = 75.31° , ∠L = 64.53° , ∠M = 40.16°
(v)

∠K = 103.58° , ∠L = 38.21° , ∠M = 38.21°

Question 34

34.

Which of the following are measures of an equilateral triangle ?

(i)

∠A = 52.62° , ∠B = 59.41° , ∠C = 67.97°
(ii)

∠A = 66.74° , ∠B = 56.63° , ∠C = 56.63°
(iii)

∠A = 42.51° , ∠B = 90° , ∠C = 47.49°
(iv)

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 45° , ∠B = 90° , ∠C = 45°

Question 35

35.

Which of the following are measures of an isosceles triangle ?

(i)

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

∠C = 47.73° , ∠D = 90° , ∠E = 42.27°
(iii)

∠C = 55.83° , ∠D = 49.32° , ∠E = 74.85°
(iv)

∠C = 44.42° , ∠D = 78.46° , ∠E = 57.12°
(v)

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 36

36.

Which of the following are measures of a scalene triangle ?

(i)

∠G = 85.98° , ∠H = 47.01° , ∠I = 47.01°
(ii)

∠G = 52.62° , ∠H = 67.97° , ∠I = 59.41°
(iii)

∠G = 45° , ∠H = 90° , ∠I = 45°
(iv)

∠G = 38.94° , ∠H = 70.53° , ∠I = 70.53°
(v)

∠G = 60° , ∠H = 60° , ∠I = 60°

Question 37

37.

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

(i)

∠C = 91.04° , ∠D = 41.8° , ∠E = 47.16°
(ii)

∠C = 38.16° , ∠D = 90° , ∠E = 51.84°
(iii)

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

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

∠C = 60° , ∠D = 60° , ∠E = 60°

Question 38

38.

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

(i)

∠O = 125.43° , ∠P = 26.19° , ∠Q = 28.38°
(ii)

∠O = 50.06° , ∠P = 64.97° , ∠Q = 64.97°
(iii)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(iv)

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

∠O = 60° , ∠P = 60° , ∠Q = 60°

Question 39

39.

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

(i)

∠C = 45° , ∠D = 90° , ∠E = 45°
(ii)

∠C = 51.84° , ∠D = 90° , ∠E = 38.16°
(iii)

∠C = 119.06° , ∠D = 29.31° , ∠E = 31.63°
(iv)

∠C = 92.61° , ∠D = 52.06° , ∠E = 35.33°
(v)

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

Question 40

40.

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

(i)

∠O = 52.02° , ∠P = 59.3° , ∠Q = 68.68°
(ii)

∠O = 45° , ∠P = 90° , ∠Q = 45°
(iii)

∠O = 98.85° , ∠P = 38.61° , ∠Q = 42.54°
(iv)

∠O = 72.44° , ∠P = 53.78° , ∠Q = 53.78°
(v)

∠O = 42.27° , ∠P = 90° , ∠Q = 47.73°

Question 41

41.

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

(i)

NO = 8 cm , OP = 16 cm , PN = 5 cm
(ii)

NO = 16 cm , OP = 6 cm , PN = 7 cm
(iii)

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

NO = 7 cm , OP = 7 cm , PN = 19 cm
(v)

NO = 19 cm , OP = 8 cm , PN = 7 cm

Question 42

42.

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

(i)

∠B = 95.70° , ∠C = 82.30° , ∠D = 40.40°
(ii)

∠B = 71.20° , ∠C = 111.80° , ∠D = 77.90°
(iii)

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

∠B = 86.10° , ∠C = 97.50° , ∠D = 32.10°
(v)

∠B = 48.30° , ∠C = 119.90° , ∠D = 72.40°

Question 43

43.

The point of intersection of the altitudes of a triangle is called

(i)

circumcentre
(ii)

excentre
(iii)

median
(iv)

orthocentre
(v)

altitude

Question 44

44.

The point of intersection of the perpendicular bisectors of the sides of a triangle is called

(i)

orthocentre
(ii)

circumcentre
(iii)

centroid
(iv)

incentre
(v)

altitude

Question 45

45.

The point of intersection of the bisectors of the interior angles of a triangle is called

(i)

incentre
(ii)

circumcentre
(iii)

altitude
(iv)

orthocentre
(v)

median

Question 46

46.

The point of intersection of the bisectors of the interior angle and the two exterior opposite angles of a triangle is called

(i)

orthocentre
(ii)

circumcentre
(iii)

altitude
(iv)

incentre
(v)

excentre

Question 47

47.

The point of intersection of the medians of a triangle is called

(i)

circumcentre
(ii)

incentre
(iii)

orthocentre
(iv)

centroid
(v)

median

Question 48

48.

The line joining each vertex to the mid-point of the opposite side of a triangle is called

(i)

excentre
(ii)

orthocentre
(iii)

incentre
(iv)

circumcentre
(v)

median

Question 49

49.

The perpendicular drawn from each vertex to the opposite side of a triangle is called

(i)

median
(ii)

incentre
(iii)

altitude
(iv)

excentre
(v)

orthocentre

Question 50

50.

Which of the following may lie outside or on the triangle?

a)	excentre
b)	incentre
c)	centroid
d)	orthocentre
e)	circumcentre

(i)

{b,a,d}
(ii)

{b,a}
(iii)

{a,d,e}
(iv)

{c,d}
(v)

{b,c,e}

Question 51

51.

Sum of the interior angles in a triangle is

(i)

210°
(ii)

185°
(iii)

190°
(iv)

195°
(v)

180°

Question 52

52.

How many diagonals does a triangle have?

(i)

1
(ii)

4
(iii)

2
(iv)

0
(v)

3

Question 53

53.

Two angles of a triangle measure 64° and 54° respectively. Find the measure of the third angle of the triangle

(i)

61°
(ii)

63°
(iii)

60°
(iv)

64°
(v)

62°

Assignment Key