EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)	An n-sided regular polygon has n/2 lines of symmetry if n is even.
b)	If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
c)	If a triangle has two lines of symmetry, then it is a regular polygon.
d)	If a quadrilateral has four lines of symmetry, then it is a regular polygon.
e)	A regular polygon of n sides will have n lines of symmetry.
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)

{f,a,e}
(ii)

{c,g,b}
(iii)

{c,d}
(iv)

{b,d,e,g}
(v)

{a,b}

Question 2

2.

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

(i)

q
(ii)

p
(iii)

r
(iv)

{ p, q, r }
(v)

none

Question 3

3.

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

(i)

D
(ii)

C
(iii)

Q
(iv)

I
(v)

H

Question 4

4.

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

(i)

{ e, g }
(ii)

none
(iii)

{ f, h }
(iv)

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

f

Question 5

5.

Which of the following English alphabet letters has rotational symmetry?

(i)

C
(ii)

A
(iii)

G
(iv)

X
(v)

B

Question 6

6.

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

(i)

p
(ii)

none
(iii)

{ p, q, r }
(iv)

q
(v)

r

Question 7

7.

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

(i)

O
(ii)

E
(iii)

B
(iv)

X
(v)

I

Question 8

8.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{d,e}
(ii)

{a,d}
(iii)

{c,f,d}
(iv)

{g,e,d}
(v)

{b,e}

Question 9

9.

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

a)	90°
b)	360°
c)	270°
d)	180°

(i)

{b,d}
(ii)

{b,a,c}
(iii)

{b,c}
(iv)

{a,c,d}
(v)

{b,a}

Question 10

10.

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

(i)

three
(ii)

infinite
(iii)

zero
(iv)

two
(v)

one

Question 11

11.

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

(i)

q
(ii)

p
(iii)

{ p, q, r }
(iv)

r
(v)

none

Question 12

12.

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

(i)

N
(ii)

I
(iii)

L
(iv)

A
(v)

H

Question 13

13.

Which of the following figures have infinite lines of symmetry?

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

(i)

{e}
(ii)

{b,e}
(iii)

{c,d,e}
(iv)

{a,e}

Question 14

14.

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 rectangle has rotational symmetry of order four.
e)	A semi-circle has rotational symmetry of order two.

(i)

{b,a}
(ii)

{d,e,a}
(iii)

{a}
(iv)

{c,a}

Question 15

15.

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

(i)

{ e, g }
(ii)

h
(iii)

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

f
(v)

{ f, h }

Question 16

16.

Which of the following quadrilaterals have three lines of symmetry?

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

(i)

{c}
(ii)

{d,e,c}
(iii)

{a,c}
(iv)

{b,c}
(v)

{f,c}

Question 17

17.

Which of the following figures have two lines of symmetry?

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

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c}
(iv)

{e,f,a}
(v)

{g,c,a}

Question 18

18.

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

(i)

none
(ii)

q
(iii)

p
(iv)

{ p, q, r }
(v)

r

Question 19

19.

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

(i)

p
(ii)

none
(iii)

r
(iv)

q
(v)

{ p, q, r }

Question 20

20.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{a,d,e}
(ii)

{d,e,f}
(iii)

{c,g,f}
(iv)

{a,d}
(v)

{b,e}

Question 21

21.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{e,f,a}
(v)

{g,d,a}

Question 22

22.

If a figure has rotational symmetry of order 3, then it regain its shape after being rotated by an angle of

(i)

120°
(ii)

102°
(iii)

137°
(iv)

135°
(v)

103°

Question 23

23.

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

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

(i)

{c,e,d}
(ii)

{a,b,d}
(iii)

{e,b}
(iv)

{c,a}
(v)

{c,a,b}

Question 24

24.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{g}
(ii)

{b,g}
(iii)

{c,d,g}
(iv)

{a,g}
(v)

{e,g}

Question 25

25.

The English alphabet letter 'T' has how many lines of symmetry?

(i)

infinite
(ii)

one
(iii)

zero
(iv)

three
(v)

two

Assignment Key