EduSahara™ Worksheet

Question 1

1.

Which of the following figures have no line of symmetry?

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

(i)

{d,e,b}
(ii)

{b,f}
(iii)

{a,f,b}
(iv)

{a,b}
(v)

{c,f}

Question 2

2.

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

(i)

one
(ii)

three
(iii)

zero
(iv)

two
(v)

infinite

Question 3

3.

Which of the following figures have three lines of symmetry?

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

(i)

{a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}
(v)

{f,a}

Question 4

4.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{e,f}
(ii)

{c,d,f}
(iii)

{f}
(iv)

{b,f}
(v)

{a,f}

Question 5

5.

Which of the following quadrilaterals have three lines of symmetry?

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

(i)

{c}
(ii)

{b,c}
(iii)

{d,e,c}
(iv)

{a,c}
(v)

{f,c}

Question 6

6.

Given figure has how many lines of symmetry?

(i)

2
(ii)

6
(iii)

4
(iv)

5
(v)

7

Question 7

7.

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

(i)

{ p, q, r }
(ii)

q
(iii)

none
(iv)

p
(v)

r

Question 8

8.

Which of the following figures have one line of symmetry?

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

(i)

{h,c,e}
(ii)

{d,f,g}
(iii)

{b,e}
(iv)

{c,e,g}
(v)

{a,c}

Question 9

9.

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

(i)

none
(ii)

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

{ f, h }
(iv)

h
(v)

e

Question 10

10.

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

(i)

zero
(ii)

three
(iii)

infinite
(iv)

two
(v)

one

Question 11

11.

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

(i)

f
(ii)

{ f, h }
(iii)

h
(iv)

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

e

Question 12

12.

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

(i)

O
(ii)

U
(iii)

V
(iv)

X
(v)

I

Question 13

13.

Which of the following are true?

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

(i)

{e,b}
(ii)

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

{e,f,a}
(iv)

{c,a}
(v)

{g,c,d}

Question 14

14.

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

(i)

h
(ii)

{ f, h }
(iii)

e
(iv)

f
(v)

{ e, g }

Question 15

15.

Which of the following are true?

a)	An obtuse angled triangle has zero lines of symmetry.
b)	A figure can have multiple axes of symmetry.
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)	Axis of symmetry of a figure need not intersect with the figure at any point.
g)	For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
h)	Line of symmetry is perpendicular to axis of symmetry.

(i)

{b,c,d,g}
(ii)

{a,g,b}
(iii)

{e,c}
(iv)

{f,h,d}
(v)

{a,b}

Question 16

16.

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

(i)

V
(ii)

J
(iii)

B
(iv)

H
(v)

X

Question 17

17.

Which of the following figures have infinite lines of symmetry?

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

(i)

{b,d}
(ii)

{d}
(iii)

{c,e,d}
(iv)

{a,d}

Question 18

18.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{c,f,d}
(ii)

{d,e}
(iii)

{b,e}
(iv)

{a,d}
(v)

{g,e,d}

Question 19

19.

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

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

(i)

{a,b}
(ii)

{a,c,e}
(iii)

{c,d}
(iv)

{b,d,e}
(v)

{a,b,d}

Question 20

20.

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

(i)

{ p, q, r }
(ii)

r
(iii)

q
(iv)

p
(v)

none

Question 21

21.

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

(i)

f
(ii)

{ f, h }
(iii)

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

h
(v)

{ e, g }

Question 22

22.

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

(i)

G
(ii)

H
(iii)

E
(iv)

C
(v)

L

Question 23

23.

Which of the following figures have two lines of symmetry?

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

(i)

{c,f}
(ii)

{g,f,b}
(iii)

{a,b}
(iv)

{b,f}
(v)

{d,e,b}

Question 24

24.

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

(i)

q
(ii)

r
(iii)

{ p, q, r }
(iv)

p
(v)

none

Question 25

25.

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

(i)

{ p, q, r }
(ii)

q
(iii)

p
(iv)

none
(v)

r

Assignment Key