EduSahara™ Worksheet

Question 1

1.

Identify the figure below

(i)

angle
(ii)

triangle
(iii)

decagon
(iv)

pentagon
(v)

nonagon

Question 2

2.

Identify the figure below

(i)

angle
(ii)

decagon
(iii)

quadrilateral
(iv)

heptagon
(v)

pentagon

Question 3

3.

Identify the figure below

(i)

pentagon
(ii)

hexagon
(iii)

decagon
(iv)

quadrilateral
(v)

circle

Question 4

4.

Identify the figure below

(i)

kite
(ii)

triangle
(iii)

trapezium
(iv)

square
(v)

angle

Question 5

5.

Identify the figure below

(i)

trapezium
(ii)

parallelogram
(iii)

square
(iv)

angle
(v)

rhombus

Question 6

6.

Identify the figure below

(i)

kite
(ii)

angle
(iii)

rectangle
(iv)

triangle
(v)

trapezium

Question 7

7.

Identify the figure below

(i)

square
(ii)

parallelogram
(iii)

trapezium
(iv)

circle
(v)

kite

Question 8

8.

Identify the figure below

(i)

angle
(ii)

rectangle
(iii)

square
(iv)

trapezium
(v)

rhombus

Question 9

9.

Identify the figure below

(i)

circle
(ii)

rectangle
(iii)

angle
(iv)

parallelogram
(v)

kite

Question 10

10.

Identify the figure below

(i)

decagon
(ii)

octagon
(iii)

heptagon
(iv)

pentagon
(v)

triangle

Question 11

11.

Identify the figure below

(i)

octagon
(ii)

hexagon
(iii)

decagon
(iv)

angle
(v)

triangle

Question 12

12.

Identify the figure below

(i)

pentagon
(ii)

circle
(iii)

heptagon
(iv)

triangle
(v)

octagon

Question 13

13.

Identify the figure below

(i)

decagon
(ii)

nonagon
(iii)

octagon
(iv)

triangle
(v)

hexagon

Question 14

14.

Identify the figure below

(i)

circle
(ii)

nonagon
(iii)

heptagon
(iv)

quadrilateral
(v)

triangle

Question 15

15.

Identify the figure below

(i)

quadrilateral
(ii)

angle
(iii)

decagon
(iv)

nonagon
(v)

heptagon

Question 16

16.

In the given two equilateral triangles, find ∠D + ∠F + ∠H + ∠E + ∠G + ∠I .

(i)

361°
(ii)

360°
(iii)

358°
(iv)

362°
(v)

359°

Question 17

17.

The angles of a quadrilateral LMNO are in the ratio 10 : 14 : 19 : 77. Find the measure of each angle of the quadrilateral.

(i)

L

=

31°

,

M

=

41°

,

N

=

59°

,

O

=

229°
(ii)

L

=

30°

,

M

=

42°

,

N

=

57°

,

O

=

231°
(iii)

L

=

29°

,

M

=

40°

,

N

=

58°

,

O

=

233°
(iv)

L

=

28°

,

M

=

44°

,

N

=

56°

,

O

=

232°
(v)

L

=

32°

,

M

=

41°

,

N

=

55°

,

O

=

232°

Question 18

18.

Two adjacent angles of a parallelogram NOPQ are in the ratio 2 : 18. Find the measure of each of its angles.

(i)

N

=

20°

,

O

=

161°

,

P

=

16°

,

Q

=

163°
(ii)

N

=

16°

,

O

=

164°

,

P

=

17°

,

Q

=

163°
(iii)

N

=

18°

,

O

=

162°

,

P

=

18°

,

Q

=

162°
(iv)

N

=

19°

,

O

=

161°

,

P

=

20°

,

Q

=

160°
(v)

N

=

17°

,

O

=

160°

,

P

=

19°

,

Q

=

164°

Question 19

19.

Three angles of quadrilateral measure 72.21°, 111.78° and 68.83° respectively. Find the measure of the fourth angle

(i)

108.18°
(ii)

107.18°
(iii)

109.18°
(iv)

105.18°
(v)

106.18°

Question 20

20.

Three angles of a quadrilateral are equal and the fourth angle measure 63.06°. What is the measure of each of the equal angles?

(i)

99.98°
(ii)

96.98°
(iii)

100.98°
(iv)

97.98°
(v)

98.98°

Question 21

21.

Which of the following figures is a regular quadrilateral?

(i)

trapezium
(ii)

rhombus
(iii)

rectangle
(iv)

parallelogram
(v)

square

Question 22

22.

Sum of the interior angles in a triangle is

(i)

185°
(ii)

180°
(iii)

195°
(iv)

190°
(v)

210°

Question 23

23.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

370°
(iii)

365°
(iv)

375°
(v)

360°

Question 24

24.

Sum of the interior angles in a pentagon is

(i)

550°
(ii)

555°
(iii)

570°
(iv)

540°
(v)

545°

Question 25

25.

Sum of the interior angles in a hexagon is

(i)

725°
(ii)

750°
(iii)

730°
(iv)

720°
(v)

735°

Question 26

26.

Sum of the interior angles in a heptagon is

(i)

910°
(ii)

905°
(iii)

900°
(iv)

930°
(v)

915°

Question 27

27.

Sum of the interior angles in an octagon is

(i)

1085°
(ii)

1080°
(iii)

1095°
(iv)

1090°
(v)

1110°

Question 28

28.

Sum of the interior angles in a nonagon is

(i)

1260°
(ii)

1275°
(iii)

1270°
(iv)

1265°
(v)

1290°

Question 29

29.

Sum of the interior angles in a decagon is

(i)

1445°
(ii)

1455°
(iii)

1440°
(iv)

1450°
(v)

1470°

Question 30

30.

How many diagonals does a triangle have?

(i)

2
(ii)

0
(iii)

3
(iv)

4
(v)

1

Question 31

31.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

2
(iii)

1
(iv)

0
(v)

4

Question 32

32.

How many diagonals does a pentagon have?

(i)

6
(ii)

2
(iii)

7
(iv)

4
(v)

5

Question 33

33.

How many diagonals does a hexagon have?

(i)

10
(ii)

8
(iii)

7
(iv)

9
(v)

11

Question 34

34.

How many diagonals does a heptagon have?

(i)

17
(ii)

13
(iii)

15
(iv)

12
(v)

14

Question 35

35.

How many diagonals does an octagon have?

(i)

23
(ii)

18
(iii)

20
(iv)

21
(v)

19

Question 36

36.

How many diagonals does a nonagon have?

(i)

26
(ii)

29
(iii)

24
(iv)

27
(v)

28

Question 37

37.

How many diagonals does a decagon have?

(i)

34
(ii)

36
(iii)

32
(iv)

35
(v)

38

Question 38

38.

Find the number of sides in a regular polygon if each
interior
angle is
162°

(i)

19
(ii)

20
(iii)

17
(iv)

21
(v)

22

Question 39

39.

Find the number of sides in a regular polygon if each
exterior
angle is
15°

(i)

26
(ii)

25
(iii)

24
(iv)

21
(v)

23

Question 40

40.

The number of diagonals in a regular polygon with n sides is

(i)

(

n

) (

n

−

2

)

2
(ii)

(

n

) (

n

−

1

)

2
(iii)

(

n

) (

n

+

3

)

2
(iv)

(

n

) (

n

+

2

)

2
(v)

(

n

) (

n

−

3

)

2

Question 41

41.

The value of each exterior angle in an n-sided regular polygon is

(i)

(
n
360
) °
(ii)

[
(2n - 4) x 90
n
] °
(iii)

(
360
n
) °
(iv)

[
(2n - 4) x 180
n
] °

Question 42

42.

The value of each interior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 90
n
] °
(ii)

(
360
n
) °
(iii)

(
n
360
) °
(iv)

[
(2n - 4) x 180
n
] °

Question 43

43.

The value of the exterior angle in a regular polygon when the interior angle is given

(i)

180°+ (interior angle)
(ii)

360°- (interior angle)
(iii)

90°+ (interior angle)
(iv)

180°- (interior angle)

Question 44

44.

The value of the interior angle in a regular polygon when the exterior angle is given

(i)

360°- (exterior angle)
(ii)

180°- (exterior angle)
(iii)

90°+ (exterior angle)
(iv)

180°+ (exterior angle)

Assignment Key