EduSahara™ Worksheet

Question 1

1.

A vehicle goes 10 km North and then 11 km East. How far is it from its starting point ?

(i)

13.87 km
(ii)

15.87 km
(iii)

14.87 km
(iv)

12.87 km
(v)

16.87 km

Question 2

2.

Which of the following are measures of an equilateral triangle ?

(i)

NO = 13 cm , OP = 13 cm , PN = 18.38 cm
(ii)

NO = 10 cm , OP = 11 cm , PN = 14.87 cm
(iii)

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

NO = 14 cm , OP = 15 cm , PN = 14 cm
(v)

NO = 13 cm , OP = 10 cm , PN = 11 cm

Question 3

3.

In the given figure, calculate the value of x.

(i)

x

=

22.5°
(ii)

x

=

21.5°
(iii)

x

=

20.5°
(iv)

x

=

23.5°
(v)

x

=

24.5°

Question 4

4.

Calculate the value of the lettered angle in the following figure

(i)

x

=

47°
(ii)

x

=

45°
(iii)

x

=

46°
(iv)

x

=

43°
(v)

x

=

44°

Question 5

5.

In the given figure, BC ∥ DE and BD = DF. Find the values of x,y and z.

(i)

x

=

33°

,

y

=

71°

,

z

=

36°
(ii)

x

=

31°

,

y

=

69°

,

z

=

40°
(iii)

x

=

31°

,

y

=

71°

,

z

=

38°
(iv)

x

=

29°

,

y

=

71°

,

z

=

40°
(v)

x

=

29°

,

y

=

73°

,

z

=

38°

Question 6

6.

In a right-angled triangle if one of the acute angles is 53°, find the measure of the other acute angle.

(i)

36°
(ii)

35°
(iii)

39°
(iv)

37°
(v)

38°

Question 7

7.

The median corresponding to the side
KL

(i)

KL
(ii)

KN
(iii)

MP
(iv)

LO
(v)

KO

Question 8

8.

In the given figure, find the value of x.

(i)

x

=

23°
(ii)

x

=

24°
(iii)

x

=

26°
(iv)

x

=

27°
(v)

x

=

25°

Question 9

9.

In the following figure HI ∥ KJ, find the values of x and y.

(i)

x

=

47°

,

y

=

89°
(ii)

x

=

46°

,

y

=

88°
(iii)

x

=

48°

,

y

=

90°
(iv)

x

=

44°

,

y

=

86°
(v)

x

=

45°

,

y

=

87°

Question 10

10.

In the following figure, one side of a triangle has been produced. Find all the angles of the triangle

(i)

G

=

52°

,

H

=

36°

,

I

=

92°
(ii)

G

=

54°

,

H

=

36°

,

I

=

90°
(iii)

G

=

56°

,

H

=

36°

,

I

=

88°
(iv)

G

=

52°

,

H

=

38°

,

I

=

90°
(v)

G

=

54°

,

H

=

34°

,

I

=

92°

Question 11

11.

The ratio between the base angle and the vertical angle of an isosceles triangle is 13 : 10. Find each angle of the triangle

(i)

A

=

50°

,

B

=

63°

,

C

=

67°
(ii)

A

=

48°

,

B

=

65°

,

C

=

67°
(iii)

A

=

48°

,

B

=

67°

,

C

=

65°
(iv)

A

=

50°

,

B

=

65°

,

C

=

65°
(v)

A

=

52°

,

B

=

65°

,

C

=

63°

Question 12

12.

The vertex opposite to the side
DE

(i)

D
(ii)

G
(iii)

C
(iv)

EF

Question 13

13.

In the given figure, if DA = BD and AE = EC , find the value of x.

(i)

x

=

71°
(ii)

x

=

72°
(iii)

x

=

73°
(iv)

x

=

70°
(v)

x

=

74°

Question 14

14.

In the given figure, find ∠DEC

(i)

26°
(ii)

27°
(iii)

28°
(iv)

29°
(v)

25°

Question 15

15.

Which of the following are measures of an isosceles triangle ?

(i)

∠A = 43.03° , ∠B = 90° , ∠C = 46.97°
(ii)

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

∠A = 59.3° , ∠B = 68.68° , ∠C = 52.02°
(iv)

∠A = 60° , ∠B = 60° , ∠C = 60°
(v)

∠A = 52.89° , ∠B = 41.65° , ∠C = 85.46°

Question 16

16.

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

(i)

NO = 11 cm , OP = 15 cm , PN = 10 cm
(ii)

NO = 14 cm , OP = 15 cm , PN = 10 cm
(iii)

NO = 10 cm , OP = 12 cm , PN = 14 cm
(iv)

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

NO = 15 cm , OP = 14 cm , PN = 20.52 cm

Question 17

17.

In the given two equilateral triangles, find ∠I + ∠K + ∠M + ∠J + ∠L + ∠N .

(i)

360°
(ii)

359°
(iii)

362°
(iv)

358°
(v)

361°

Question 18

18.

With the data in the figure, △IJL ≅ △IKL by which property?

(i)

not congruent
(ii)

ASA Congruency
(iii)

RHS Congruency
(iv)

SSS Congruency
(v)

SAS Congruency

Question 19

19.

With the data in the figure, △FOG ≅ △HOI by which property?

(i)

SSS Congruency
(ii)

ASA Congruency
(iii)

not congruent
(iv)

SAS Congruency
(v)

RHS Congruency

Question 20

20.

In an equilateral triangle ABC, the side BC is trisected at D. Then

(i)
3 AD

2

=

7 AB

2
(ii)
7 AD

2

=

9 AB

2
(iii)
7 AD

2

=

3 AB

2
(iv)
9 AD

2

=

7 AB

2

Question 21

21.

With the data in the given figure, △EHF ≅ △EHG by which property?

(i)

SAS Congruency
(ii)

RHS Congruency
(iii)

not congruent
(iv)

ASA Congruency
(v)

SSS Congruency

Question 22

22.

In the given figure, △ABC is a triangle with AD being the median of BC. Then

(i)
AB

2

+

AC

2

=

2

DC

2

+

2

AD

2
(ii)
AB

2

+

AC

2

=

2

BD

2

+

2

AD

2
(iii)
AB

2

+

AC

2

=

BC

2
(iv)
AB

2

+

AC

2

=

AD

2
(v)
AB

2

+

AC

2

=

2

BD

2

+

2

DC

2

Question 23

23.

Which of the following are measures of a scalene triangle ?

(i)

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

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

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

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

HI = 13 cm , IJ = 14 cm , JH = 15 cm

Question 24

24.

The vertex opposite to the side
VT

(i)

X
(ii)

T
(iii)

VW
(iv)

U

Question 25

25.

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

(i)

∠M = 102.91° , ∠N = 40.53° , ∠O = 36.56°
(ii)

∠M = 45° , ∠N = 90° , ∠O = 45°
(iii)

∠M = 60° , ∠N = 60° , ∠O = 60°
(iv)

∠M = 64.63° , ∠N = 64.62° , ∠O = 50.75°
(v)

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

Assignment Key