EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following figures have point symmetry?
a)
regular pentagon
b)
regular octagon
c)
semicircle
d)
circle
e)
sector of a circle
f)
regular heptagon
g)
regular hexagon
(i)
{c,d}
(ii)
{a,b,d}
(iii)
{a,b}
(iv)
{b,d,g}
(v)
{e,f,g}
Question
2
2.
Which of the following figures have two lines of symmetry?
a)
isosceles triangle
b)
rectangle
c)
kite
d)
scalene triangle
e)
square
f)
isosceles trapezium
g)
line segment
h)
angle with equal arms
(i)
{d,e,b}
(ii)
{f,g,b}
(iii)
{c,g}
(iv)
{a,b}
(v)
{b,g}
Question
3
3.
Write down the coordinates when reflected in the x-axis
(i)
(
8
,
8
)
,
(
6
,
(
−
7
)
)
,
(
3
,
6
)
,
(
9
,
6
)
(ii)
(
6
,
6
)
,
(
6
,
(
−
7
)
)
,
(
4
,
5
)
,
(
9
,
6
)
(iii)
(
6
,
6
)
,
(
6
,
(
−
7
)
)
,
(
3
,
6
)
,
(
8
,
7
)
(iv)
(
6
,
6
)
,
(
6
,
(
−
7
)
)
,
(
3
,
6
)
,
(
9
,
6
)
(v)
(
6
,
6
)
,
(
6
,
(
−
7
)
)
,
(
1
,
4
)
,
(
9
,
6
)
Question
4
4.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
r
(iii)
q
(iv)
p
(v)
{ p, q, r }
Question
5
5.
Which of the following English alphabet letters have one line of symmetry?
(i)
F
(ii)
V
(iii)
H
(iv)
I
(v)
Z
Question
6
6.
A figure possesses rotational symmetry if it regain its shape after rotating
a)
360°
b)
90°
c)
270°
d)
180°
(i)
{a,b,c}
(ii)
{b,c,d}
(iii)
{a,d}
(iv)
{a,c}
(v)
{a,b}
Question
7
7.
Which of the following are line(s) of symmetry for the given kite?
(i)
g
(ii)
{ e, f, g, h }
(iii)
none
(iv)
e
(v)
h
Question
8
8.
Which of the following English alphabet letters have infinite lines of symmetry?
(i)
O
(ii)
H
(iii)
B
(iv)
A
(v)
I
Question
9
9.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
{ p, q, r }
(iii)
r
(iv)
q
(v)
p
Question
10
10.
Find the image of the triangle formed by
(
(
−
5
)
,
3
)
,
(
6
,
(
−
4
)
)
and
(
(
−
2
)
,
1
)
when rotated about the origin by
90°
(i)
(
(
−
3
)
,
(
−
5
)
)
,
(
4
,
6
)
,
(
0
,
(
−
3
)
)
(ii)
(
(
−
4
)
,
(
−
4
)
)
,
(
4
,
6
)
,
(
(
−
1
)
,
(
−
2
)
)
(iii)
(
(
−
3
)
,
(
−
5
)
)
,
(
4
,
6
)
,
(
(
−
1
)
,
(
−
2
)
)
(iv)
(
(
−
3
)
,
(
−
5
)
)
,
(
6
,
8
)
,
(
(
−
1
)
,
(
−
2
)
)
(v)
(
(
−
3
)
,
(
−
5
)
)
,
(
4
,
6
)
,
(
(
−
3
)
,
(
−
4
)
)
Question
11
11.
Given figure has how many lines of symmetry?
(i)
7
(ii)
6
(iii)
3
(iv)
9
(v)
5
Question
12
12.
The English alphabet letter 'V' has how many lines of symmetry?
(i)
two
(ii)
zero
(iii)
infinite
(iv)
one
(v)
three
Question
13
13.
Which of the following are true?
a)
A polygon need not be regular to have point symmetry.
b)
A polygon need not be regular to have rotational symmetry.
c)
A circle has rotational symmetry of infinite order.
d)
A circle has infinite lines of symmetry.
e)
A circle has infinite points of symmetry.
(i)
{e,d,a}
(ii)
{e,a}
(iii)
{a,b,c,d}
(iv)
{e,c}
(v)
{e,b}
Question
14
14.
Which of the following quadrilaterals have zero lines of symmetry?
a)
trapezium
b)
isosceles trapezium
c)
parallelogram
d)
rectangle
e)
rhombus
f)
kite
g)
square
(i)
{a,c}
(ii)
{d,c}
(iii)
{e,f,a}
(iv)
{b,a}
(v)
{g,c,a}
Question
15
15.
Write down the coordinates when reflected in the x-axis
(i)
(
1
,
(
−
7
)
)
,
(
9
,
(
−
2
)
)
,
(
(
−
4
)
,
4
)
(ii)
(
1
,
(
−
7
)
)
,
(
7
,
(
−
4
)
)
,
(
(
−
4
)
,
4
)
(iii)
(
0
,
(
−
6
)
)
,
(
7
,
(
−
4
)
)
,
(
(
−
4
)
,
4
)
(iv)
(
1
,
(
−
7
)
)
,
(
7
,
(
−
4
)
)
,
(
(
−
3
)
,
3
)
(v)
(
1
,
(
−
7
)
)
,
(
7
,
(
−
4
)
)
,
(
(
−
6
)
,
2
)
Question
16
16.
Which of the following quadrilaterals have two lines of symmetry?
a)
square
b)
parallelogram
c)
isosceles trapezium
d)
rhombus
e)
kite
f)
rectangle
g)
trapezium
(i)
{g,f,d}
(ii)
{b,f}
(iii)
{d,f}
(iv)
{a,d}
(v)
{c,e,d}
Question
17
17.
Which of the following points is invariant under reflection in y-axis
(i)
(
0
,
6
)
(ii)
(
(
−
7
)
,
(
−
6
)
)
(iii)
(
1
,
2
)
(iv)
(
3
,
(
−
3
)
)
(v)
(
(
−
7
)
,
7
)
Question
18
18.
Which of the following are line(s) of symmetry for the given rhombus?
(i)
{ f, h }
(ii)
none
(iii)
{ e, g }
(iv)
e
(v)
{ e, f, g, h }
Question
19
19.
Write down the coordinates when reflected in the x-axis
(
3
,
(
−
7
)
)
,
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
(
−
6
)
)
(i)
(
3
,
7
)
,
(
(
−
3
)
,
6
)
,
(
9
,
5
)
(ii)
(
3
,
7
)
,
(
(
−
3
)
,
6
)
,
(
6
,
4
)
(iii)
(
3
,
7
)
,
(
(
−
1
)
,
8
)
,
(
8
,
6
)
(iv)
(
2
,
8
)
,
(
(
−
3
)
,
6
)
,
(
8
,
6
)
(v)
(
3
,
7
)
,
(
(
−
3
)
,
6
)
,
(
8
,
6
)
Question
20
20.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
q
(iii)
p
(iv)
{ p, q, r }
(v)
r
Question
21
21.
Which of the following quadrilaterals have no rotational symmetry?
a)
rhombus
b)
parallelogram
c)
kite
d)
rectangle
e)
trapezium
f)
isosceles trapezium
g)
square
(i)
{d,g,f}
(ii)
{a,c}
(iii)
{c,e,f}
(iv)
{b,e}
(v)
{a,c,e}
Question
22
22.
Which of the following quadrilaterals have point symmetry?
a)
parallelogram
b)
rectangle
c)
kite
d)
rhombus
e)
square
f)
trapezium
g)
isosceles trapezium
(i)
{a,b,d,e}
(ii)
{f,e,a}
(iii)
{c,a}
(iv)
{g,c,d}
(v)
{f,b}
Question
23
23.
Which of the following figures have infinite lines of symmetry?
a)
circle
b)
n-sided polygon where n is very large
c)
sector of a circle
d)
line segment
e)
semicircle
(i)
{d,e,a}
(ii)
{c,a}
(iii)
{a}
(iv)
{b,a}
Question
24
24.
If a figure has rotational symmetry of order 5, then it regain its shape after being rotated by an angle of
(i)
75°
(ii)
77°
(iii)
67°
(iv)
69°
(v)
72°
Question
25
25.
The English alphabet letter 'L' has how many lines of symmetry?
(i)
three
(ii)
zero
(iii)
two
(iv)
one
(v)
infinite
Assignment Key
1) (iv)
2) (v)
3) (iv)
4) (iii)
5) (ii)
6) (ii)
7) (v)
8) (i)
9) (v)
10) (iii)
11) (ii)
12) (iv)
13) (iii)
14) (i)
15) (ii)
16) (iii)
17) (i)
18) (i)
19) (v)
20) (iii)
21) (iii)
22) (i)
23) (iii)
24) (v)
25) (ii)
