EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

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

{f,e,b}
(ii)

{f,c}
(iii)

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

{g,a,d}
(v)

{a,b}

Question 2

2.

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

(i)

r
(ii)

q
(iii)

p
(iv)

{ p, q, r }
(v)

none

Question 3

3.

Which of the following figures have infinite lines of symmetry?

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

(i)

{b}
(ii)

{a,b}
(iii)

{c,b}
(iv)

{d,e,b}

Question 4

4.

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

(i)

none
(ii)

h
(iii)

f
(iv)

e
(v)

{ e, g }

Question 5

5.

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

(i)

H
(ii)

C
(iii)

O
(iv)

I
(v)

D

Question 6

6.

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

(i)

infinite
(ii)

two
(iii)

zero
(iv)

one
(v)

three

Question 7

7.

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

(i)

three
(ii)

infinite
(iii)

one
(iv)

zero
(v)

two

Question 8

8.

Which of the following figures have one line of symmetry?

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

(i)

{f,g,d}
(ii)

{a,c,d}
(iii)

{b,a}
(iv)

{h,a,c}
(v)

{e,c}

Question 9

9.

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

(i)

q
(ii)

none
(iii)

{ p, q, r }
(iv)

p
(v)

r

Question 10

10.

Which of the following figures have no line of symmetry?

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

(i)

{c,d}
(ii)

{e,f,c}
(iii)

{a,d,c}
(iv)

{a,c}
(v)

{b,d}

Question 11

11.

Which of the following figures have three lines of symmetry?

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

(i)

{a,b}
(ii)

{c,b}
(iii)

{b}
(iv)

{d,e,b}
(v)

{f,b}

Question 12

12.

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

(i)

zero
(ii)

one
(iii)

three
(iv)

two
(v)

infinite

Question 13

13.

Which of the following are true?

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

(i)

{d,f,a}
(ii)

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

{d,a}
(iv)

{e,b}
(v)

{g,h,c}

Question 14

14.

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

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

(i)

{a,d,e}
(ii)

{a,b,c}
(iii)

{a,b}
(iv)

{b,c,e}
(v)

{d,c}

Question 15

15.

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

(i)

none
(ii)

p
(iii)

{ p, q, r }
(iv)

r
(v)

q

Question 16

16.

Given figure has how many lines of symmetry?

(i)

4
(ii)

8
(iii)

5
(iv)

6
(v)

3

Question 17

17.

Which of the following quadrilaterals have three lines of symmetry?

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

(i)

{b,a}
(ii)

{f,a}
(iii)

{a}
(iv)

{c,a}
(v)

{d,e,a}

Question 18

18.

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

(i)

g
(ii)

f
(iii)

h
(iv)

none
(v)

{ e, g }

Question 19

19.

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

(i)

{ f, h }
(ii)

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

e
(iv)

none
(v)

f

Question 20

20.

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

(i)

H
(ii)

L
(iii)

X
(iv)

M
(v)

R

Question 21

21.

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

(i)

{ e, g }
(ii)

none
(iii)

e
(iv)

f
(v)

h

Question 22

22.

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

(i)

{ f, h }
(ii)

f
(iii)

none
(iv)

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

h

Question 23

23.

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

(i)

P
(ii)

A
(iii)

F
(iv)

E
(v)

X

Question 24

24.

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

(i)

Y
(ii)

H
(iii)

T
(iv)

N
(v)

X

Question 25

25.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{a,e}
(ii)

{e,f}
(iii)

{c,d,e}
(iv)

{b,f}
(v)

{g,f,e}

Assignment Key