EduSahara™ Worksheet

Question 1

1.

The English alphabet letter 'A' has how many lines of symmetry?

(i)

zero
(ii)

two
(iii)

one
(iv)

three
(v)

infinite

Question 2

2.

The English alphabet letter 'I' has how many lines of symmetry?

(i)

two
(ii)

infinite
(iii)

one
(iv)

three
(v)

zero

Question 3

3.

The English alphabet letter 'L' has how many lines of symmetry?

(i)

three
(ii)

zero
(iii)

infinite
(iv)

two
(v)

one

Question 4

4.

The English alphabet letter 'O' has how many lines of symmetry?

(i)

infinite
(ii)

three
(iii)

one
(iv)

zero
(v)

two

Question 5

5.

Which of the following English alphabet letters have one line of symmetry?

(i)

X
(ii)

H
(iii)

A
(iv)

Q
(v)

L

Question 6

6.

Which of the following English alphabet letters have two lines of symmetry?

(i)

R
(ii)

V
(iii)

P
(iv)

H
(v)

M

Question 7

7.

Which of the following English alphabet letters have infinite lines of symmetry?

(i)

H
(ii)

I
(iii)

T
(iv)

D
(v)

O

Question 8

8.

Which of the following English alphabet letters have zero lines of symmetry?

(i)

I
(ii)

G
(iii)

D
(iv)

A
(v)

H

Question 9

9.

Which of the following figures have no line of symmetry?

a)	angle with equal arms
b)	angle with unequal arms
c)	scalene triangle
d)	isosceles triangle
e)	equilateral triangle
f)	line segment

(i)

{e,f,b}
(ii)

{a,b}
(iii)

{b,c}
(iv)

{a,c,b}
(v)

{d,c}

Question 10

10.

Which of the following figures have one line of symmetry?

a)	scalene triangle
b)	angle with unequal arms
c)	equilateral triangle
d)	isosceles right angled triangle
e)	right angled triangle
f)	line segment
g)	isosceles triangle
h)	angle with equal arms

(i)

{a,d}
(ii)

{d,g,h}
(iii)

{c,e,h}
(iv)

{f,d,g}
(v)

{b,g}

Question 11

11.

Which of the following are true?

a)	Axis of symmetry of a figure need not intersect with the figure at any point.
b)	For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
c)	A figure can be broken into two congruent shapes about its axis of symmetry.
d)	A line segment has one line of symmetry.
e)	Line of symmetry is perpendicular to axis of symmetry.
f)	Line of symmetry and axis of symmetry are same.
g)	A figure can have multiple axes of symmetry.
h)	An obtuse angled triangle has zero lines of symmetry.

(i)

{e,h,f}
(ii)

{a,g,b}
(iii)

{a,b}
(iv)

{b,c,f,g}
(v)

{d,c}

Question 12

12.

Which of the following figures have two lines of symmetry?

a)	line segment
b)	kite
c)	angle with equal arms
d)	square
e)	rectangle
f)	scalene triangle
g)	isosceles trapezium
h)	isosceles triangle

(i)

{c,e}
(ii)

{a,e}
(iii)

{b,a}
(iv)

{g,e,a}
(v)

{d,f,a}

Question 13

13.

Which of the following figures have three lines of symmetry?

a)	line segment
b)	right angle triangle
c)	scalene triangle
d)	isosceles right angled triangle
e)	isosceles triangle
f)	equilateral triangle

(i)

{f}
(ii)

{c,d,f}
(iii)

{e,f}
(iv)

{b,f}
(v)

{a,f}

Question 14

14.

A median is an axis of symmetry in which of the given figures?

a)	right angle triangle
b)	scalene triangle
c)	isosceles triangle
d)	isosceles right angled triangle
e)	equilateral triangle

(i)

{a,b,e}
(ii)

{a,c,d}
(iii)

{a,c}
(iv)

{b,d}
(v)

{c,d,e}

Question 15

15.

Which of the following quadrilaterals have zero lines of symmetry?

a)	square
b)	kite
c)	trapezium
d)	rhombus
e)	parallelogram
f)	rectangle
g)	isosceles trapezium

(i)

{c,e}
(ii)

{g,e,c}
(iii)

{b,e}
(iv)

{d,f,c}
(v)

{a,c}

Question 16

16.

Which of the following quadrilaterals have one line of symmetry?

a)	parallelogram
b)	rhombus
c)	isosceles trapezium
d)	square
e)	kite
f)	trapezium
g)	rectangle

(i)

{a,c}
(ii)

{g,e,c}
(iii)

{c,e}
(iv)

{d,f,c}
(v)

{b,e}

Question 17

17.

Which of the following quadrilaterals have two lines of symmetry?

a)	rectangle
b)	square
c)	kite
d)	rhombus
e)	isosceles trapezium
f)	parallelogram
g)	trapezium

(i)

{e,f,a}
(ii)

{g,d,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{a,d}

Question 18

18.

Which of the following quadrilaterals have three lines of symmetry?

a)	parallelogram
b)	square
c)	rhombus
d)	trapezium
e)	isosceles trapezium
f)	none
g)	rectangle

(i)

{c,d,f}
(ii)

{e,f}
(iii)

{a,f}
(iv)

{b,f}
(v)

{f}

Question 19

19.

Which of the following quadrilaterals have four lines of symmetry?

a)	rhombus
b)	square
c)	trapezium
d)	rectangle
e)	isosceles trapezium
f)	parallelogram
g)	kite

(i)

{b}
(ii)

{a,b}
(iii)

{d,e,b}
(iv)

{c,b}
(v)

{f,b}

Question 20

20.

Which of the following are true?

a)	If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
b)	If a quadrilateral has four lines of symmetry, then it is a regular polygon.
c)	A regular polygon of n sides will have n lines of symmetry.
d)	If a triangle has two lines of symmetry, then it is a regular polygon.
e)	Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
f)	Line of symmetry divides the polygon into two identical shapes.
g)	An n-sided regular polygon has n/2 lines of symmetry if n is even.

(i)

{e,b}
(ii)

{e,f,a}
(iii)

{g,d,c}
(iv)

{d,a}
(v)

{a,b,c,f}

Question 21

21.

Which of the following figures have point symmetry?

a)	line segment
b)	right angle triangle
c)	isosceles right angled triangle
d)	equilateral triangle
e)	isosceles triangle
f)	scalene triangle

(i)

{c,a}
(ii)

{a}
(iii)

{d,e,a}
(iv)

{f,a}
(v)

{b,a}

Question 22

22.

Which of the following quadrilaterals have point symmetry?

a)	kite
b)	isosceles trapezium
c)	trapezium
d)	square
e)	parallelogram
f)	rectangle
g)	rhombus

(i)

{c,a,f}
(ii)

{b,e}
(iii)

{d,e,f,g}
(iv)

{a,d}
(v)

{b,g,d}

Question 23

23.

Which of the following figures have point symmetry?

a)	regular octagon
b)	regular heptagon
c)	regular pentagon
d)	circle
e)	regular hexagon
f)	sector of a circle
g)	semicircle

(i)

{b,a,d}
(ii)

{f,g,e}
(iii)

{b,a}
(iv)

{a,d,e}
(v)

{c,d}

Question 24

24.

Which of the following are true?

a)	If a figure does not have point symmetry, it does not have line symmetry too.
b)	If a figure does not have line symmetry, it does not have rotational symmetry too.
c)	If a figure does not have point symmetry, it does not have rotational symmetry too.
d)	If a figure does not have rotational symmetry, it does not have point symmetry too.
e)	If a figure has line symmetry, it also has rotational symmetry.
f)	All regular polygons have point symmetry.
g)	A circle has infinite points of symmetry.

(i)

{b,d}
(ii)

{c,e,d}
(iii)

{d}
(iv)

{f,d}
(v)

{a,d}

Question 25

25.

A figure possesses point symmetry if it regain its shape after rotating

(i)

180°
(ii)

360°
(iii)

90°
(iv)

270°

Question 26

26.

A figure possesses rotational symmetry if it regain its shape after rotating

a)	90°
b)	180°
c)	270°
d)	360°

(i)

{d,c}
(ii)

{d,b}
(iii)

{d,a,b}
(iv)

{a,b,c}
(v)

{d,a}

Question 27

27.

Which of the following are true?

a)	A polygon need not be regular to have point symmetry.
b)	A polygon need not be regular to have rotational symmetry.
c)	A circle has infinite points of symmetry.
d)	A circle has infinite lines of symmetry.
e)	A circle has rotational symmetry of infinite order.

(i)

{c,d}
(ii)

{c,a}
(iii)

{a,b,d,e}
(iv)

{c,b}
(v)

{c,e,a}

Question 28

28.

Which of the following quadrilaterals have no rotational symmetry?

a)	rhombus
b)	isosceles trapezium
c)	trapezium
d)	square
e)	parallelogram
f)	kite
g)	rectangle

(i)

{a,b,c}
(ii)

{e,g,f}
(iii)

{d,c}
(iv)

{a,b}
(v)

{b,c,f}

Question 29

29.

Which of the following triangles have rotational symmetry?

a)	isosceles triangle
b)	isosceles right angled triangle
c)	equilateral triangle
d)	scalene triangle
e)	right angle triangle

(i)

{a,c}
(ii)

{c}
(iii)

{b,c}
(iv)

{d,e,c}

Question 30

30.

Which of the following are true?

a)	A rectangle has rotational symmetry of order four.
b)	A parallelogram has rotational symmetry of order four.
c)	A semi-circle has rotational symmetry of order two.
d)	A rhombus has rotational symmetry of order four.
e)	A square has rotational symmetry of order four.

(i)

{a,e}
(ii)

{c,d,e}
(iii)

{b,e}
(iv)

{e}

Question 31

31.

If a figure has rotational symmetry of order 6, then it regain its shape after being rotated by an angle of

(i)

55°
(ii)

63°
(iii)

60°
(iv)

65°
(v)

57°

Question 32

32.

Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?

a)	equilateral triangle
b)	isosceles triangle
c)	line segment
d)	scalene triangle
e)	angle with equal arms

(i)

{c,e,d}
(ii)

{b,d}
(iii)

{d}
(iv)

{a,d}

Question 33

33.

Which of the following figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?

a)	angle with equal arms
b)	regular pentagon
c)	parallelogram
d)	equilateral triangle
e)	line segment
f)	circle
g)	regular hexagon
h)	square

(i)

{e,f,g,h}
(ii)

{a,e}
(iii)

{a,h,e}
(iv)

{b,f}
(v)

{c,d,g}

Question 34

34.

Which of the following English alphabet letters has point symmetry?

(i)

E
(ii)

S
(iii)

B
(iv)

K
(v)

A

Question 35

35.

Which of the following English alphabet letters does not have point symmetry?

(i)

Z
(ii)

B
(iii)

H
(iv)

O
(v)

X

Question 36

36.

Which of the following English alphabet letters has rotational symmetry?

(i)

G
(ii)

A
(iii)

Z
(iv)

E
(v)

D

Question 37

37.

Which of the following English alphabet letters does not have rotational symmetry?

(i)

N
(ii)

O
(iii)

B
(iv)

X
(v)

S

Question 38

38.

Which of the following figures have infinite lines of symmetry?

a)	semicircle
b)	line segment
c)	circle
d)	n-sided polygon where n is very large
e)	sector of a circle

(i)

{d,e,c}
(ii)

{b,c}
(iii)

{a,c}
(iv)

{c}

Question 39

39.