EduSahara™ Worksheet

Question 1

1.

Given figure has how many lines of symmetry?

(i)

6
(ii)

5
(iii)

4
(iv)

2
(v)

8

Question 2

2.

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

(i)

C
(ii)

F
(iii)

H
(iv)

I
(v)

Q

Question 3

3.

Which of the following figures have two lines of symmetry?

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

(i)

{b,g}
(ii)

{e,g,f}
(iii)

{a,f}
(iv)

{f,g}
(v)

{c,d,f}

Question 4

4.

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

(i)

g
(ii)

f
(iii)

h
(iv)

{ e, g }
(v)

e

Question 5

5.

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

(i)

none
(ii)

r
(iii)

{ p, q, r }
(iv)

q
(v)

p

Question 6

6.

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

(i)

E
(ii)

H
(iii)

Y
(iv)

I
(v)

O

Question 7

7.

Which of the following quadrilaterals have two lines of symmetry?

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

(i)

{b,g}
(ii)

{e,g,f}
(iii)

{a,f}
(iv)

{c,d,f}
(v)

{f,g}

Question 8

8.

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

(i)

infinite
(ii)

three
(iii)

one
(iv)

two
(v)

zero

Question 9

9.

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

(i)

N
(ii)

U
(iii)

A
(iv)

H
(v)

I

Question 10

10.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{a,b}
(ii)

{b,c,f}
(iii)

{a,b,c}
(iv)

{e,g,f}
(v)

{d,c}

Question 11

11.

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

(i)

{ e, g }
(ii)

none
(iii)

{ f, h }
(iv)

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

e

Question 12

12.

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

(i)

none
(ii)

p
(iii)

r
(iv)

q
(v)

{ p, q, r }

Question 13

13.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{d,b}
(ii)

{g,b,a}
(iii)

{e,f,a}
(iv)

{c,a}
(v)

{a,b}

Question 14

14.

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

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

(i)

{a}
(ii)

{c,a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 15

15.

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

(i)

h
(ii)

none
(iii)

f
(iv)

g
(v)

{ e, g }

Question 16

16.

Which of the following figures have no line of symmetry?

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

(i)

{a,d}
(ii)

{b,f}
(iii)

{d,f}
(iv)

{a,f,d}
(v)

{c,e,d}

Question 17

17.

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

(i)

p
(ii)

r
(iii)

q
(iv)

none
(v)

{ p, q, r }

Question 18

18.

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

(i)

P
(ii)

R
(iii)

K
(iv)

H
(v)

T

Question 19

19.

Which of the following are true?

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

(i)

{g,a,e}
(ii)

{b,d,e,f}
(iii)

{c,d}
(iv)

{c,f,b}
(v)

{a,b}

Question 20

20.

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

(i)

f
(ii)

h
(iii)

{ f, h }
(iv)

g
(v)

e

Question 21

21.

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

(i)

none
(ii)

f
(iii)

g
(iv)

{ f, h }
(v)

{ e, f, g, h }

Question 22

22.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{c,f}
(ii)

{a,c}
(iii)

{g,f,c}
(iv)

{d,e,c}
(v)

{b,f}

Question 23

23.

Which of the following are true?

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

(i)

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

{b,a}
(iii)

{c,e}
(iv)

{d,g,f}
(v)

{b,h,a}

Question 24

24.

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

(i)

three
(ii)

zero
(iii)

one
(iv)

two
(v)

infinite

Question 25

25.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{c,d,f}
(ii)

{f}
(iii)

{e,f}
(iv)

{b,f}
(v)

{a,f}

Assignment Key