EduSahara™ Worksheet

Question 1

1.

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

(i)

none
(ii)

q
(iii)

p
(iv)

r
(v)

{ p, q, r }

Question 2

2.

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

(i)

three
(ii)

two
(iii)

zero
(iv)

one
(v)

infinite

Question 3

3.

Which of the following figures have infinite lines of symmetry?

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

(i)

{c}
(ii)

{d,e,c}
(iii)

{b,c}
(iv)

{a,c}

Question 4

4.

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

(i)

q
(ii)

{ p, q, r }
(iii)

p
(iv)

r
(v)

none

Question 5

5.

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

(i)

g
(ii)

{ e, g }
(iii)

{ f, h }
(iv)

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

none

Question 6

6.

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

(i)

none
(ii)

e
(iii)

{ f, h }
(iv)

g
(v)

{ e, g }

Question 7

7.

Given figure has how many lines of symmetry?

(i)

6
(ii)

2
(iii)

4
(iv)

5
(v)

8

Question 8

8.

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

(i)

h
(ii)

e
(iii)

none
(iv)

{ f, h }
(v)

{ e, g }

Question 9

9.

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

(i)

none
(ii)

p
(iii)

r
(iv)

{ p, q, r }
(v)

q

Question 10

10.

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

a)	360°
b)	180°
c)	270°
d)	90°

(i)

{a,b,c}
(ii)

{a,c}
(iii)

{a,b}
(iv)

{a,d}
(v)

{b,c,d}

Question 11

11.

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

(i)

f
(ii)

h
(iii)

none
(iv)

{ f, h }
(v)

{ e, g }

Question 12

12.

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

(i)

{e,a,f}
(ii)

{c,d}
(iii)

{b,d,f,g}
(iv)

{a,b}
(v)

{c,g,b}

Question 13

13.

Which of the following are true?

a)	A line segment has one line 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)	For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
e)	Line of symmetry is perpendicular to axis of symmetry.
f)	Axis of symmetry of a figure need not intersect with the figure at any point.
g)	Line of symmetry and axis of symmetry are same.
h)	An obtuse angled triangle has zero lines of symmetry.

(i)

{e,c}
(ii)

{f,h,d}
(iii)

{a,g,b}
(iv)

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

{a,b}

Question 14

14.

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

(i)

Y
(ii)

X
(iii)

U
(iv)

H
(v)

O

Question 15

15.

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

(i)

D
(ii)

X
(iii)

H
(iv)

P
(v)

N

Question 16

16.

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

(i)

none
(ii)

q
(iii)

{ p, q, r }
(iv)

p
(v)

r

Question 17

17.

Which of the following figures have no line of symmetry?

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

(i)

{a,d,c}
(ii)

{a,c}
(iii)

{e,f,c}
(iv)

{c,d}
(v)

{b,d}

Question 18

18.

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

(i)

one
(ii)

two
(iii)

zero
(iv)

infinite
(v)

three

Question 19

19.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{a,d}
(ii)

{g,f,d}
(iii)

{c,e,d}
(iv)

{d,f}
(v)

{b,f}

Question 20

20.

Which of the following figures have three lines of symmetry?

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

(i)

{b,c}
(ii)

{d,e,c}
(iii)

{f,c}
(iv)

{a,c}
(v)

{c}

Question 21

21.

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

(i)

g
(ii)

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

none
(iv)

h
(v)

{ e, g }

Question 22

22.

Given figure has how many lines of symmetry?

(i)

8
(ii)

4
(iii)

7
(iv)

6
(v)

5

Question 23

23.

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

(i)

Y
(ii)

H
(iii)

Q
(iv)

I
(v)

K

Question 24

24.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{b,f}
(ii)

{d,e,b}
(iii)

{a,b}
(iv)

{g,f,b}
(v)

{c,f}

Question 25

25.

Which of the following triangles have rotational symmetry?

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

(i)

{d,e,a}
(ii)

{c,a}
(iii)

{b,a}
(iv)

{a}

Assignment Key