EduSahara™ Worksheet

Question 1

1.

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

(i)

H
(ii)

J
(iii)

I
(iv)

D
(v)

E

Question 2

2.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{a,g}
(ii)

{c,d,g}
(iii)

{e,g}
(iv)

{b,g}
(v)

{g}

Question 3

3.

Which of the following are true?

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

(i)

{b,d,e,h}
(ii)

{a,b}
(iii)

{a,h,b}
(iv)

{f,g,e}
(v)

{c,d}

Question 4

4.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{a,b}
(ii)

{c,d}
(iii)

{b,d,e}
(iv)

{f,g,e}
(v)

{a,b,d}

Question 5

5.

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

(i)

R
(ii)

J
(iii)

X
(iv)

B
(v)

I

Question 6

6.

Which of the following figures have one line of symmetry?

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

(i)

{g,c,f}
(ii)

{b,f}
(iii)

{d,e,h}
(iv)

{a,c}
(v)

{c,f,h}

Question 7

7.

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

(i)

p
(ii)

{ p, q, r }
(iii)

r
(iv)

none
(v)

q

Question 8

8.

Which of the following are true?

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

(i)

{d,e,c}
(ii)

{c}
(iii)

{b,c}
(iv)

{a,c}

Question 9

9.

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

(i)

p
(ii)

q
(iii)

r
(iv)

{ p, q, r }
(v)

none

Question 10

10.

Which of the following are true?

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

(i)

{d,g,a}
(ii)

{b,a}
(iii)

{f,b,e}
(iv)

{a,c,e,g}
(v)

{d,c}

Question 11

11.

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

(i)

I
(ii)

O
(iii)

X
(iv)

M
(v)

B

Question 12

12.

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

(i)

{ e, g }
(ii)

none
(iii)

e
(iv)

{ f, h }
(v)

g

Question 13

13.

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

(i)

H
(ii)

E
(iii)

S
(iv)

N
(v)

Z

Question 14

14.

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

(i)

{ p, q, r }
(ii)

q
(iii)

none
(iv)

r
(v)

p

Question 15

15.

Which of the following quadrilaterals have three lines of symmetry?

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

(i)

{c,d,g}
(ii)

{b,g}
(iii)

{e,g}
(iv)

{a,g}
(v)

{g}

Question 16

16.

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

(i)

{ f, h }
(ii)

f
(iii)

{ e, g }
(iv)

e
(v)

none

Question 17

17.

Which of the following figures have no line of symmetry?

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

(i)

{c,b,a}
(ii)

{c,a}
(iii)

{a,b}
(iv)

{d,b}
(v)

{e,f,a}

Question 18

18.

Which of the following quadrilaterals have two lines of symmetry?

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

(i)

{g,b,a}
(ii)

{a,b}
(iii)

{e,f,a}
(iv)

{d,b}
(v)

{c,a}

Question 19

19.

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

a)	90°
b)	360°
c)	270°
d)	180°

(i)

{b,a,c}
(ii)

{b,d}
(iii)

{a,c,d}
(iv)

{b,a}
(v)

{b,c}

Question 20

20.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{a,c}
(ii)

{d,e,c}
(iii)

{c,g}
(iv)

{f,g,c}
(v)

{b,g}

Question 21

21.

Given figure has how many lines of symmetry?

(i)

5
(ii)

4
(iii)

8
(iv)

2
(v)

6

Question 22

22.

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

(i)

p
(ii)

r
(iii)

q
(iv)

{ p, q, r }
(v)

none

Question 23

23.

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

(i)

B
(ii)

X
(iii)

J
(iv)

S
(v)

M

Question 24

24.

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

(i)

f
(ii)

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

h
(iv)

e
(v)

none

Question 25

25.

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

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

(i)

{a,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{c,b}

Assignment Key