EduSahara™ Worksheet

Question 1

1.

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

(i)

h
(ii)

none
(iii)

e
(iv)

{ e, g }
(v)

g

Question 2

2.

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

(i)

none
(ii)

{ f, h }
(iii)

e
(iv)

h
(v)

{ e, f, g, h }

Question 3

3.

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

(i)

{ p, q, r }
(ii)

q
(iii)

p
(iv)

none
(v)

r

Question 4

4.

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

(i)

{ p, q, r }
(ii)

q
(iii)

r
(iv)

p
(v)

none

Question 5

5.

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

(i)

r
(ii)

q
(iii)

none
(iv)

p
(v)

{ p, q, r }

Question 6

6.

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

(i)

{ e, g }
(ii)

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

none
(iv)

h
(v)

g

Question 7

7.

Given figure has how many lines of symmetry?

(i)

7
(ii)

5
(iii)

9
(iv)

6
(v)

4

Question 8

8.

Which of the following English alphabet letters has rotational symmetry?

(i)

O
(ii)

F
(iii)

E
(iv)

G
(v)

B

Question 9

9.

Which of the following figures have three lines of symmetry?

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

(i)

{c,d,f}
(ii)

{f}
(iii)

{e,f}
(iv)

{b,f}
(v)

{a,f}

Question 10

10.

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

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

(i)

{a,b,d}
(ii)

{c,d}
(iii)

{b,d,e}
(iv)

{a,c,e}
(v)

{a,b}

Question 11

11.

Which of the following are true?

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

(i)

{c}
(ii)

{a,c}
(iii)

{d,e,c}
(iv)

{b,c}

Question 12

12.

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

(i)

infinite
(ii)

three
(iii)

zero
(iv)

two
(v)

one

Question 13

13.

Which of the following figures have one line of symmetry?

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

(i)

{d,e,f}
(ii)

{h,d,e}
(iii)

{c,g,f}
(iv)

{a,d}
(v)

{b,e}

Question 14

14.

Which of the following are true?

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

(i)

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

{d,c}
(iii)

{b,a}
(iv)

{b,f,a}
(v)

{g,h,e}

Question 15

15.

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

(i)

p
(ii)

{ p, q, r }
(iii)

r
(iv)

q
(v)

none

Question 16

16.

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

(i)

H
(ii)

O
(iii)

A
(iv)

S
(v)

X

Question 17

17.

Which of the following figures have infinite lines of symmetry?

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

(i)

{b}
(ii)

{d,e,b}
(iii)

{a,b}
(iv)

{c,b}

Question 18

18.

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

(i)

g
(ii)

f
(iii)

none
(iv)

{ f, h }
(v)

h

Question 19

19.

Given figure has how many lines of symmetry?

(i)

8
(ii)

2
(iii)

4
(iv)

5
(v)

6

Question 20

20.

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

(i)

Q
(ii)

K
(iii)

W
(iv)

X
(v)

I

Question 21

21.

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

(i)

{ p, q, r }
(ii)

q
(iii)

r
(iv)

p
(v)

none

Question 22

22.

Which of the following triangles have rotational symmetry?

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

(i)

{b,e}
(ii)

{a,e}
(iii)

{e}
(iv)

{c,d,e}

Question 23

23.

Which of the following are true?

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

(i)

{a,b}
(ii)

{e,a,f}
(iii)

{d,c}
(iv)

{b,c,f,g}
(v)

{d,g,b}

Question 24

24.

Which of the following quadrilaterals have two lines of symmetry?

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

(i)

{b,a}
(ii)

{f,g,a}
(iii)

{a,g}
(iv)

{d,e,a}
(v)

{c,g}

Question 25

25.

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

(i)

zero
(ii)

one
(iii)

two
(iv)

three
(v)

infinite

Assignment Key