EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
A polygon need not be regular to have rotational symmetry.
b)
A circle has rotational symmetry of infinite order.
c)
A polygon need not be regular to have point symmetry.
d)
A circle has infinite points of symmetry.
e)
A circle has infinite lines of symmetry.
(i)
{d,b}
(ii)
{d,c}
(iii)
{a,b,c,e}
(iv)
{d,e,a}
(v)
{d,a}
Question
2
2.
A median is an axis of symmetry in which of the given figures?
a)
equilateral triangle
b)
isosceles triangle
c)
isosceles right angled triangle
d)
right angle triangle
e)
scalene triangle
(i)
{e,b}
(ii)
{a,b,c}
(iii)
{d,e,c}
(iv)
{d,a}
(v)
{d,a,b}
Question
3
3.
Write down the coordinates when reflected in the origin
(
7
,
1
)
,
(
6
,
(
−
3
)
)
,
(
(
−
3
)
,
(
−
8
)
)
(i)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
3
)
,
(
4
,
7
)
(ii)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
3
)
,
(
3
,
8
)
(iii)
(
(
−
8
)
,
0
)
,
(
(
−
6
)
,
3
)
,
(
3
,
8
)
(iv)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
4
)
,
5
)
,
(
3
,
8
)
(v)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
3
)
,
(
1
,
6
)
Question
4
4.
Which of the following figures have infinite lines of symmetry?
a)
line segment
b)
semicircle
c)
n-sided polygon where n is very large
d)
sector of a circle
e)
circle
(i)
{e}
(ii)
{b,e}
(iii)
{c,d,e}
(iv)
{a,e}
Question
5
5.
Which of the following figures have three lines of symmetry?
a)
right angle triangle
b)
isosceles right angled triangle
c)
line segment
d)
equilateral triangle
e)
scalene triangle
f)
isosceles triangle
(i)
{b,d}
(ii)
{a,d}
(iii)
{d}
(iv)
{f,d}
(v)
{c,e,d}
Question
6
6.
Given figure has how many lines of symmetry?
(i)
6
(ii)
2
(iii)
5
(iv)
4
(v)
8
Question
7
7.
Write down the coordinates when reflected in the origin
(
9
,
(
−
8
)
)
,
(
0
,
6
)
,
(
8
,
5
)
,
(
(
−
3
)
,
4
)
(i)
(
(
−
9
)
,
8
)
,
(
0
,
(
−
6
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
2
,
(
−
3
)
)
(ii)
(
(
−
7
)
,
10
)
,
(
0
,
(
−
6
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
3
,
(
−
4
)
)
(iii)
(
(
−
9
)
,
8
)
,
(
0
,
(
−
6
)
)
,
(
(
−
10
)
,
(
−
7
)
)
,
(
3
,
(
−
4
)
)
(iv)
(
(
−
9
)
,
8
)
,
(
0
,
(
−
6
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
3
,
(
−
4
)
)
(v)
(
(
−
9
)
,
8
)
,
(
0
,
(
−
6
)
)
,
(
(
−
7
)
,
(
−
6
)
)
,
(
3
,
(
−
4
)
)
Question
8
8.
Write down the coordinates when reflected in the x-axis
(
9
,
9
)
,
(
(
−
9
)
,
0
)
,
(
(
−
3
)
,
(
−
8
)
)
(i)
(
8
,
(
−
8
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
3
)
,
8
)
(ii)
(
9
,
(
−
9
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
3
)
,
8
)
(iii)
(
9
,
(
−
9
)
)
,
(
(
−
7
)
,
2
)
,
(
(
−
3
)
,
8
)
(iv)
(
9
,
(
−
9
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
5
)
,
6
)
(v)
(
9
,
(
−
9
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
2
)
,
7
)
Question
9
9.
Write down the coordinates when reflected in the y-axis
(i)
(
(
−
1
)
,
4
)
,
(
0
,
3
)
,
(
7
,
(
−
4
)
)
,
(
(
−
4
)
,
8
)
(ii)
(
(
−
1
)
,
4
)
,
(
0
,
3
)
,
(
9
,
(
−
2
)
)
,
(
(
−
5
)
,
9
)
(iii)
(
1
,
6
)
,
(
0
,
3
)
,
(
9
,
(
−
2
)
)
,
(
(
−
4
)
,
8
)
(iv)
(
(
−
1
)
,
4
)
,
(
0
,
3
)
,
(
9
,
(
−
2
)
)
,
(
(
−
4
)
,
8
)
(v)
(
(
−
1
)
,
4
)
,
(
0
,
3
)
,
(
10
,
(
−
3
)
)
,
(
(
−
4
)
,
8
)
Question
10
10.
Find the image of the point
(
(
−
2
)
,
0
)
when reflected in y-axis
(i)
(
(
−
2
)
,
0
)
(ii)
(
3
,
0
)
(iii)
(
2
,
0
)
(iv)
(
0
,
2
)
Question
11
11.
Which of the following figures have no line of symmetry?
a)
angle with equal arms
b)
line segment
c)
scalene triangle
d)
angle with unequal arms
e)
isosceles triangle
f)
equilateral triangle
(i)
{a,d,c}
(ii)
{a,c}
(iii)
{e,f,c}
(iv)
{b,d}
(v)
{c,d}
Question
12
12.
Find the image of the point
(
4
,
(
−
4
)
)
when reflected in the origin
(i)
(
(
−
4
)
,
(
−
4
)
)
(ii)
(
(
−
4
)
,
4
)
(iii)
(
4
,
(
−
4
)
)
(iv)
(
4
,
4
)
(v)
(
(
−
3
)
,
4
)
Question
13
13.
Find the coordinates of the reflection
of the point
(
(
−
3
)
,
(
−
2
)
)
in line
(
−
7
x
+
42
)
=
0
(i)
(
14
,
(
−
1
)
)
(ii)
(
17
,
0
)
(iii)
(
15
,
(
−
2
)
)
(iv)
(
13
,
(
−
4
)
)
(v)
(
16
,
(
−
3
)
)
Question
14
14.
Which of the following English alphabet letters has point symmetry?
(i)
J
(ii)
K
(iii)
S
(iv)
G
(v)
A
Question
15
15.
Find the image of the triangle formed by
(
(
−
5
)
,
(
−
7
)
)
,
(
2
,
1
)
and
(
3
,
(
−
4
)
)
when rotated about the origin by
180°
(i)
(
5
,
7
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
5
)
,
2
)
(ii)
(
5
,
7
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
3
)
,
4
)
(iii)
(
5
,
7
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
3
)
(iv)
(
4
,
8
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
3
)
,
4
)
(v)
(
5
,
7
)
,
(
0
,
1
)
,
(
(
−
3
)
,
4
)
Question
16
16.
The English alphabet letter 'D' has how many lines of symmetry?
(i)
zero
(ii)
two
(iii)
three
(iv)
infinite
(v)
one
Question
17
17.
Which of the following quadrilaterals have no rotational symmetry?
a)
rectangle
b)
rhombus
c)
isosceles trapezium
d)
square
e)
kite
f)
parallelogram
g)
trapezium
(i)
{a,c}
(ii)
{c,e,g}
(iii)
{a,c,e}
(iv)
{b,e}
(v)
{d,f,g}
Question
18
18.
Which of the following figures have two lines of symmetry?
a)
line segment
b)
rectangle
c)
isosceles triangle
d)
square
e)
angle with equal arms
f)
isosceles trapezium
g)
kite
h)
scalene triangle
(i)
{g,b,a}
(ii)
{d,b}
(iii)
{e,f,a}
(iv)
{c,a}
(v)
{a,b}
Question
19
19.
Which of the following figures have point symmetry?
a)
regular octagon
b)
regular pentagon
c)
circle
d)
sector of a circle
e)
regular heptagon
f)
semicircle
g)
regular hexagon
(i)
{e,f,g}
(ii)
{b,a}
(iii)
{d,c}
(iv)
{b,a,c}
(v)
{a,c,g}
Question
20
20.
Which of the following are line(s) of symmetry for the given kite?
(i)
f
(ii)
h
(iii)
{ f, h }
(iv)
e
(v)
g
Question
21
21.
Write down the coordinates when reflected in the y-axis
(
6
,
0
)
,
(
(
−
6
)
,
(
−
3
)
)
,
(
(
−
7
)
,
4
)
,
(
(
−
1
)
,
7
)
(i)
(
(
−
6
)
,
0
)
,
(
6
,
(
−
3
)
)
,
(
7
,
4
)
,
(
0
,
8
)
(ii)
(
(
−
6
)
,
0
)
,
(
6
,
(
−
3
)
)
,
(
8
,
3
)
,
(
1
,
7
)
(iii)
(
(
−
4
)
,
2
)
,
(
6
,
(
−
3
)
)
,
(
7
,
4
)
,
(
1
,
7
)
(iv)
(
(
−
6
)
,
0
)
,
(
6
,
(
−
3
)
)
,
(
5
,
2
)
,
(
1
,
7
)
(v)
(
(
−
6
)
,
0
)
,
(
6
,
(
−
3
)
)
,
(
7
,
4
)
,
(
1
,
7
)
Question
22
22.
Which of the following are true?
a)
A rhombus has rotational symmetry of order four.
b)
A semi-circle has rotational symmetry of order two.
c)
A rectangle has rotational symmetry of order four.
d)
A parallelogram has rotational symmetry of order four.
e)
A square has rotational symmetry of order four.
(i)
{c,d,e}
(ii)
{e}
(iii)
{a,e}
(iv)
{b,e}
Question
23
23.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
(i)
{ f, h }
(ii)
f
(iii)
none
(iv)
e
(v)
{ e, f, g, h }
Question
24
24.
Write down the coordinates when reflected in the x-axis
(
2
,
(
−
6
)
)
,
(
(
−
4
)
,
8
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
5
,
(
−
4
)
)
(i)
(
2
,
6
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
(
−
1
)
,
1
)
,
(
4
,
5
)
(ii)
(
2
,
6
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
5
,
4
)
(iii)
(
2
,
6
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
(
−
1
)
,
1
)
,
(
5
,
4
)
(iv)
(
2
,
6
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
0
,
0
)
,
(
5
,
4
)
(v)
(
4
,
8
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
(
−
1
)
,
1
)
,
(
5
,
4
)
Question
25
25.
Which of the following English alphabet letters have zero lines of symmetry?
(i)
X
(ii)
C
(iii)
M
(iv)
F
(v)
I
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (i)
5) (iii)
6) (iii)
7) (iv)
8) (ii)
9) (iv)
10) (iii)
11) (v)
12) (ii)
13) (iii)
14) (iii)
15) (ii)
16) (v)
17) (ii)
18) (v)
19) (v)
20) (ii)
21) (v)
22) (ii)
23) (iv)
24) (iii)
25) (iv)
