EduSahara™ Worksheet

Question 1

1.

A vertical stick
16 m
long casts a shadow of
14 m
long on the ground.

At the same time, a tower casts the shadow
112 m
long on the ground.

Find the height of the tower.

(i)

127 m
(ii)

128 m
(iii)

129 m
(iv)

126 m
(v)

130 m

Question 2

2.

Which of the following figures have one line of symmetry?

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

(i)

{b,e}
(ii)

{d,f,g}
(iii)

{c,e,g}
(iv)

{a,c}
(v)

{h,c,e}

Question 3

3.

Which of the following are true?

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

(i)

{d,a}
(ii)

{a,b,c,h}
(iii)

{e,b}
(iv)

{d,h,a}
(v)

{f,g,c}

Question 4

4.

Which of the following are true?

a)	If a figure does not have point symmetry, it does not have line symmetry too.
b)	If a figure does not have point symmetry, it does not have rotational symmetry too.
c)	All regular polygons have point symmetry.
d)	A circle has infinite points of symmetry.
e)	If a figure does not have line symmetry, it does not have rotational symmetry too.
f)	If a figure has line symmetry, it also has rotational symmetry.
g)	If a figure does not have rotational symmetry, it does not have point symmetry too.

(i)

{c,d,g}
(ii)

{g}
(iii)

{a,g}
(iv)

{b,g}
(v)

{e,g}

Question 5

5.

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

(i)

g
(ii)

h
(iii)

{ e, g }
(iv)

f
(v)

{ e, f, g, h }

Question 6

6.

Which of the following figures have point symmetry?

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

(i)

{c,d,f}
(ii)

{b,f}
(iii)

{a,f}
(iv)

{e,f}
(v)

{f}

Question 7

7.

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

(i)

X
(ii)

B
(iii)

G
(iv)

I
(v)

D

Question 8

8.

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

(i)

one
(ii)

three
(iii)

two
(iv)

infinite
(v)

zero

Question 9

9.

Given figure has how many lines of symmetry?

(i)

3
(ii)

8
(iii)

6
(iv)

5
(v)

4

Question 10

10.

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

(i)

g
(ii)

e
(iii)

none
(iv)

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

f

Question 11

11.

Which of the following are true?

a)	A circle has rotational symmetry of infinite order.
b)	A polygon need not be regular to have point symmetry.
c)	A circle has infinite points of symmetry.
d)	A circle has infinite lines of symmetry.
e)	A polygon need not be regular to have rotational symmetry.

(i)

{c,b}
(ii)

{c,d}
(iii)

{c,e,a}
(iv)

{c,a}
(v)

{a,b,d,e}

Question 12

12.

Which of the following figures have point symmetry?

a)	semicircle
b)	sector of a circle
c)	regular heptagon
d)	regular hexagon
e)	regular pentagon
f)	regular octagon
g)	circle

(i)

{a,d}
(ii)

{c,e,g}
(iii)

{a,d,f}
(iv)

{d,f,g}
(v)

{b,f}

Question 13

13.

In the given figure, △BCD ∼ △PQR and BC = 12 cm, PQ = 16.8 cm.

(i)

61.35 sq.cm
(ii)

62.35 sq.cm
(iii)

63.35 sq.cm
(iv)

60.35 sq.cm
(v)

64.35 sq.cm

Question 14

14.

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

(i)

M
(ii)

K
(iii)

I
(iv)

X
(v)

O

Question 15

15.

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

(i)

none
(ii)

{ p, q, r }
(iii)

q
(iv)

p
(v)

r

Question 16

16.

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

(i)

none
(ii)

r
(iii)

{ p, q, r }
(iv)

q
(v)

p

Question 17

17.

Which of the following figures have two lines of symmetry?

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

(i)

{d,e,c}
(ii)

{a,c}
(iii)

{b,f}
(iv)

{g,f,c}
(v)

{c,f}

Question 18

18.

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

(i)

{ p, q, r }
(ii)

none
(iii)

r
(iv)

p
(v)

q

Question 19

19.

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

(i)

H
(ii)

Z
(iii)

O
(iv)

I
(v)

B

Question 20

20.

Which of the following triangles have rotational symmetry?

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

(i)

{c,a}
(ii)

{a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 21

21.

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

(i)

Z
(ii)

Q
(iii)

I
(iv)

H
(v)

B

Question 22

22.

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

(i)

none
(ii)

p
(iii)

r
(iv)

q
(v)

{ p, q, r }

Question 23

23.

Given figure has how many lines of symmetry?

(i)

6
(ii)

5
(iii)

8
(iv)

7
(v)

3

Question 24

24.

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

(i)

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

{ f, h }
(iii)

h
(iv)

{ e, g }
(v)

e

Question 25

25.

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

(i)

{ p, q, r }
(ii)

q
(iii)

p
(iv)

none
(v)

r

Assignment Key