EduSahara™ Worksheet

Question 1

1.

Which of the following quadrilaterals have one line of symmetry?

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

(i)

{d,f,a}
(ii)

{b,a}
(iii)

{g,e,a}
(iv)

{a,e}
(v)

{c,e}

Question 2

2.

Given figure has how many lines of symmetry?

(i)

3
(ii)

7
(iii)

6
(iv)

4
(v)

5

Question 3

3.

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

(i)

I
(ii)

D
(iii)

G
(iv)

V
(v)

X

Question 4

4.

Which of the following are true?

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

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,g,a}
(iv)

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

{d,b,f}

Question 5

5.

Which of the following figures have infinite lines of symmetry?

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

(i)

{b,c}
(ii)

{c}
(iii)

{d,e,c}
(iv)

{a,c}

Question 6

6.

Which of the following triangles have rotational symmetry?

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

(i)

{a}
(ii)

{b,a}
(iii)

{c,a}
(iv)

{d,e,a}

Question 7

7.

Which of the following quadrilaterals have no rotational symmetry?

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

(i)

{c,d,g}
(ii)

{e,f,g}
(iii)

{a,e,f}
(iv)

{b,f}
(v)

{a,e}

Question 8

8.

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

(i)

e
(ii)

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

none
(iv)

{ f, h }
(v)

f

Question 9

9.

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

(i)

{ p, q, r }
(ii)

p
(iii)

q
(iv)

none
(v)

r

Question 10

10.

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

a)	270°
b)	360°
c)	180°
d)	90°

(i)

{b,d}
(ii)

{b,a,c}
(iii)

{a,c,d}
(iv)

{b,a}
(v)

{b,c}

Question 11

11.

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

(i)

{ p, q, r }
(ii)

r
(iii)

q
(iv)

p
(v)

none

Question 12

12.

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

(i)

H
(ii)

I
(iii)

G
(iv)

V
(v)

F

Question 13

13.

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

(i)

q
(ii)

p
(iii)

r
(iv)

none
(v)

{ p, q, r }

Question 14

14.

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

(i)

none
(ii)

{ p, q, r }
(iii)

p
(iv)

q
(v)

r

Question 15

15.

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

(i)

one
(ii)

zero
(iii)

two
(iv)

three
(v)

infinite

Question 16

16.

Which of the following quadrilaterals have four lines of symmetry?

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

(i)

{e,f}
(ii)

{a,f}
(iii)

{b,f}
(iv)

{c,d,f}
(v)

{f}

Question 17

17.

Which of the following quadrilaterals have two lines of symmetry?

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

(i)

{g,d,b}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{e,f,b}
(v)

{a,b}

Question 18

18.

Given figure has how many lines of symmetry?

(i)

5
(ii)

6
(iii)

4
(iv)

7
(v)

9

Question 19

19.

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

(i)

O
(ii)

K
(iii)

C
(iv)

H
(v)

I

Question 20

20.

Which of the following are true?

a)	An obtuse angled triangle has zero lines of symmetry.
b)	Line of symmetry and axis of symmetry are same.
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)	A figure can have multiple axes of symmetry.
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)	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)

{f,c}
(ii)

{g,h,d}
(iii)

{a,b}
(iv)

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

{a,e,b}

Question 21

21.

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

(i)

none
(ii)

h
(iii)

{ f, h }
(iv)

g
(v)

{ e, g }

Question 22

22.

Which of the following figures have two lines of symmetry?

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

(i)

{g,f,b}
(ii)

{d,e,b}
(iii)

{a,b}
(iv)

{c,f}
(v)

{b,f}

Question 23

23.

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

(i)

e
(ii)

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

{ f, h }
(iv)

h
(v)

g

Question 24

24.

Which of the following are true?

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

(i)

{c,d,e}
(ii)

{e}
(iii)

{b,e}
(iv)

{a,e}

Question 25

25.

Which of the following quadrilaterals have zero lines of symmetry?

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

(i)

{b,g}
(ii)

{c,e,d}
(iii)

{a,d}
(iv)

{d,g}
(v)

{f,g,d}

Assignment Key