EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
p
(iii)
r
(iv)
none
(v)
q
Question
2
2.
Which of the following English alphabet letters does not have point symmetry?
(i)
I
(ii)
X
(iii)
O
(iv)
H
(v)
A
Question
3
3.
Identify the line(s) of symmetry in the following figure
(i)
p
(ii)
{ p, q, r }
(iii)
q
(iv)
r
(v)
none
Question
4
4.
Which of the following English alphabet letters has rotational symmetry?
(i)
F
(ii)
J
(iii)
Z
(iv)
K
(v)
A
Question
5
5.
The English alphabet letter 'O' has how many lines of symmetry?
(i)
one
(ii)
three
(iii)
infinite
(iv)
zero
(v)
two
Question
6
6.
Find the new position of point
(
(
−
5
)
,
(
−
8
)
)
when rotated through
90°
anticlockwise about the origin
(i)
(
8
,
(
−
5
)
)
(ii)
(
(
−
5
)
,
8
)
(iii)
(
(
−
8
)
,
5
)
(iv)
(
8
,
5
)
(v)
(
(
−
8
)
,
(
−
5
)
)
Question
7
7.
Find the image of the point
(
(
−
1
)
,
(
−
3
)
)
when reflected in the origin
(i)
(
1
,
3
)
(ii)
(
2
,
3
)
(iii)
(
3
,
1
)
(iv)
(
(
−
1
)
,
3
)
(v)
(
1
,
(
−
3
)
)
Question
8
8.
Which of the following are line(s) of symmetry for the given parallelogram?
(i)
{ e, g }
(ii)
none
(iii)
{ e, f, g, h }
(iv)
{ f, h }
(v)
f
Question
9
9.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
q
(iii)
p
(iv)
none
(v)
r
Question
10
10.
Which of the following are true?
a)
A rectangle has rotational symmetry of order four.
b)
A parallelogram has rotational symmetry of order four.
c)
A rhombus has rotational symmetry of order four.
d)
A semi-circle has rotational symmetry of order two.
e)
A square has rotational symmetry of order four.
(i)
{c,d,e}
(ii)
{a,e}
(iii)
{e}
(iv)
{b,e}
Question
11
11.
Given figure has how many lines of symmetry?
(i)
6
(ii)
5
(iii)
7
(iv)
3
(v)
9
Question
12
12.
Which of the following points is invariant under reflection in x-axis
(i)
(
(
−
2
)
,
0
)
(ii)
(
8
,
(
−
3
)
)
(iii)
(
(
−
5
)
,
(
−
3
)
)
(iv)
(
9
,
4
)
(v)
(
(
−
4
)
,
1
)
Question
13
13.
Write down the coordinates when reflected in the origin
(i)
(
(
−
3
)
,
1
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(ii)
(
(
−
3
)
,
1
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
1
,
(
−
3
)
)
(iii)
(
(
−
3
)
,
1
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
5
)
)
(iv)
(
(
−
3
)
,
1
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
(v)
(
(
−
4
)
,
2
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
Question
14
14.
Find the new position of point
(
(
−
7
)
,
(
−
9
)
)
when rotated through
90°
clockwise about the origin
(i)
(
7
,
(
−
9
)
)
(ii)
(
9
,
(
−
7
)
)
(iii)
(
(
−
9
)
,
7
)
(iv)
(
(
−
9
)
,
(
−
7
)
)
(v)
(
9
,
7
)
Question
15
15.
Which of the following are true?
a)
A circle has infinite lines of symmetry.
b)
A polygon need not be regular to have point symmetry.
c)
A polygon need not be regular to have rotational symmetry.
d)
A circle has rotational symmetry of infinite order.
e)
A circle has infinite points of symmetry.
(i)
{e,b}
(ii)
{e,a}
(iii)
{a,b,c,d}
(iv)
{e,c}
(v)
{e,d,a}
Question
16
16.
Which of the following figures have infinite lines of symmetry?
a)
circle
b)
semicircle
c)
n-sided polygon where n is very large
d)
line segment
e)
sector of a circle
(i)
{d,e,a}
(ii)
{b,a}
(iii)
{c,a}
(iv)
{a}
Question
17
17.
Find the image of the triangle formed by
(
8
,
0
)
,
(
(
−
7
)
,
7
)
and
(
(
−
8
)
,
(
−
6
)
)
when rotated about the origin by
90°
(i)
(
0
,
8
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
7
,
(
−
9
)
)
(ii)
(
0
,
8
)
,
(
(
−
5
)
,
(
−
5
)
)
,
(
6
,
(
−
8
)
)
(iii)
(
(
−
1
)
,
9
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
6
,
(
−
8
)
)
(iv)
(
0
,
8
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
6
,
(
−
8
)
)
(v)
(
0
,
8
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
4
,
(
−
10
)
)
Question
18
18.
Which of the following English alphabet letters have zero lines of symmetry?
(i)
X
(ii)
F
(iii)
W
(iv)
K
(v)
I
Question
19
19.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
p
(iii)
{ p, q, r }
(iv)
q
(v)
r
Question
20
20.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
(i)
{ e, f, g, h }
(ii)
f
(iii)
{ e, g }
(iv)
h
(v)
e
Question
21
21.
Write down the coordinates when reflected in the x-axis
(
(
−
3
)
,
6
)
,
(
8
,
(
−
7
)
)
,
(
(
−
8
)
,
3
)
,
(
4
,
(
−
2
)
)
(i)
(
(
−
1
)
,
(
−
4
)
)
,
(
8
,
7
)
,
(
(
−
8
)
,
(
−
3
)
)
,
(
4
,
2
)
(ii)
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
7
)
,
(
(
−
7
)
,
(
−
4
)
)
,
(
4
,
2
)
(iii)
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
7
)
,
(
(
−
8
)
,
(
−
3
)
)
,
(
3
,
3
)
(iv)
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
7
)
,
(
(
−
8
)
,
(
−
3
)
)
,
(
4
,
2
)
(v)
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
7
)
,
(
(
−
10
)
,
(
−
5
)
)
,
(
4
,
2
)
Question
22
22.
Which of the following figures have two lines of symmetry?
a)
scalene triangle
b)
rectangle
c)
isosceles triangle
d)
square
e)
line segment
f)
kite
g)
isosceles trapezium
h)
angle with equal arms
(i)
{g,e,b}
(ii)
{a,b}
(iii)
{b,e}
(iv)
{c,e}
(v)
{d,f,b}
Question
23
23.
The English alphabet letter 'B' has how many lines of symmetry?
(i)
one
(ii)
zero
(iii)
infinite
(iv)
two
(v)
three
Question
24
24.
Find the image of the rectangle formed by
(
(
−
6
)
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
1
,
3
)
and
(
(
−
6
)
,
3
)
when rotated about the origin by
180°
(i)
(
6
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
3
)
,
(
−
5
)
)
,
(
6
,
(
−
3
)
)
(ii)
(
8
,
7
)
,
(
(
−
1
)
,
5
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
6
,
(
−
3
)
)
(iii)
(
6
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
5
,
(
−
2
)
)
(iv)
(
6
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
(
−
4
)
)
,
(
6
,
(
−
3
)
)
(v)
(
6
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
6
,
(
−
3
)
)
Question
25
25.
Which of the following triangles have rotational symmetry?
a)
scalene triangle
b)
isosceles triangle
c)
isosceles right angled triangle
d)
right angle triangle
e)
equilateral triangle
(i)
{e}
(ii)
{c,d,e}
(iii)
{b,e}
(iv)
{a,e}
Assignment Key
1) (iv)
2) (v)
3) (i)
4) (iii)
5) (iii)
6) (i)
7) (i)
8) (ii)
9) (i)
10) (iii)
11) (i)
12) (i)
13) (iv)
14) (iii)
15) (iii)
16) (iv)
17) (iv)
18) (ii)
19) (iv)
20) (v)
21) (iv)
22) (iii)
23) (i)
24) (v)
25) (i)
