EduSahara™ Worksheet

Question 1

1.

Which of the following English alphabet letters has rotational symmetry?

(i)

F
(ii)

C
(iii)

L
(iv)

B
(v)

O

Question 2

2.

Which of the following are line(s) of symmetry for the given kite?

(i)

h
(ii)

g
(iii)

{ e, g }
(iv)

f
(v)

none

Question 3

3.

Which of the following are true?

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

(i)

{d,a}
(ii)

{f,b}
(iii)

{f,e,a}
(iv)

{g,d,c}
(v)

{a,b,c,e}

Question 4

4.

Which of the following figures have two lines of symmetry?

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

(i)

{c,d}
(ii)

{b,a}
(iii)

{e,f,a}
(iv)

{g,d,a}
(v)

{a,d}

Question 5

5.

Which of the following are true?

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

(i)

{a,g,c}
(ii)

{c,d,f,g}
(iii)

{b,d}
(iv)

{a,c}
(v)

{e,h,f}

Question 6

6.

Which of the following are line(s) of symmetry for the given parallelogram?

(i)

{ e, g }
(ii)

f
(iii)

none
(iv)

h
(v)

{ e, f, g, h }

Question 7

7.

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

(i)

I
(ii)

C
(iii)

E
(iv)

H
(v)

G

Question 8

8.

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

(i)

T
(ii)

I
(iii)

J
(iv)

P
(v)

X

Question 9

9.

Which of the following figures have three lines of symmetry?

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

(i)

{a,b}
(ii)

{f,b}
(iii)

{b}
(iv)

{c,b}
(v)

{d,e,b}

Question 10

10.

Which of the following are line(s) of symmetry for the given rhombus?

(i)

g
(ii)

{ f, h }
(iii)

e
(iv)

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

f

Question 11

11.

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

(i)

infinite
(ii)

two
(iii)

three
(iv)

one
(v)

zero

Question 12

12.

Identify the line(s) of symmetry in the following figure

(i)

q
(ii)

none
(iii)

{ p, q, r }
(iv)

p
(v)

r

Question 13

13.

Identify the line(s) of symmetry in the following figure

(i)

q
(ii)

none
(iii)

r
(iv)

{ p, q, r }
(v)

p

Question 14

14.

Which of the following figures have one line of symmetry?

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

(i)

{h,a,b}
(ii)

{f,g,c}
(iii)

{a,b,c}
(iv)

{d,a}
(v)

{e,b}

Question 15

15.

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

(i)

two
(ii)

infinite
(iii)

three
(iv)

zero
(v)

one

Question 16

16.

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

(i)

zero
(ii)

three
(iii)

infinite
(iv)

two
(v)

one

Question 17

17.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{c,g,f}
(ii)

{b,e}
(iii)

{a,d,e}
(iv)

{a,d}
(v)

{d,e,f}

Question 18

18.

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

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

(i)

{c,e,d}
(ii)

{a,d}
(iii)

{d}
(iv)

{b,d}

Question 19

19.

Identify the line(s) of symmetry in the following figure

(i)

{ p, q, r }
(ii)

none
(iii)

p
(iv)

q
(v)

r

Question 20

20.

Which of the following are true?

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

(i)

{a}
(ii)

{c,a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 21

21.

Which of the following are line(s) of symmetry for the given rectangle?

(i)

{ f, h }
(ii)

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

g
(iv)

none
(v)

{ e, g }

Question 22

22.

Identify the line(s) of symmetry in the following figure

(i)

{ p, q, r }
(ii)

p
(iii)

r
(iv)

q
(v)

none

Question 23

23.

Given figure has how many lines of symmetry?

(i)

6
(ii)

7
(iii)

2
(iv)

5
(v)

4

Question 24

24.

Which of the following figures have infinite lines of symmetry?

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

(i)

{a,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{c,b}

Question 25

25.

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

(i)

C
(ii)

R
(iii)

M
(iv)

H
(v)

J

Assignment Key