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 triangles have rotational symmetry?
a)
right angle triangle
b)
scalene triangle
c)
equilateral triangle
d)
isosceles right angled triangle
e)
isosceles triangle
(i)
{a,c}
(ii)
{c}
(iii)
{d,e,c}
(iv)
{b,c}
Question
2
2.
Write down the coordinates when reflected in the x-axis
(i)
(
5
,
(
−
1
)
)
,
(
(
−
9
)
,
8
)
,
(
3
,
1
)
,
(
5
,
(
−
9
)
)
(ii)
(
3
,
(
−
3
)
)
,
(
(
−
9
)
,
8
)
,
(
4
,
0
)
,
(
5
,
(
−
9
)
)
(iii)
(
3
,
(
−
3
)
)
,
(
(
−
9
)
,
8
)
,
(
3
,
1
)
,
(
4
,
(
−
8
)
)
(iv)
(
3
,
(
−
3
)
)
,
(
(
−
9
)
,
8
)
,
(
3
,
1
)
,
(
5
,
(
−
9
)
)
(v)
(
3
,
(
−
3
)
)
,
(
(
−
9
)
,
8
)
,
(
1
,
(
−
1
)
)
,
(
5
,
(
−
9
)
)
Question
3
3.
Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?
a)
isosceles triangle
b)
scalene triangle
c)
angle with equal arms
d)
equilateral triangle
e)
line segment
(i)
{b}
(ii)
{a,b}
(iii)
{d,e,b}
(iv)
{c,b}
Question
4
4.
Write down the coordinates when reflected in the origin
(i)
(
(
−
1
)
,
(
−
6
)
)
,
(
6
,
7
)
,
(
(
−
8
)
,
(
−
3
)
)
,
(
(
−
3
)
,
8
)
(ii)
(
1
,
(
−
4
)
)
,
(
6
,
7
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
3
)
,
8
)
(iii)
(
(
−
1
)
,
(
−
6
)
)
,
(
6
,
7
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
3
)
,
8
)
(iv)
(
(
−
1
)
,
(
−
6
)
)
,
(
6
,
7
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
4
)
,
9
)
(v)
(
(
−
1
)
,
(
−
6
)
)
,
(
6
,
7
)
,
(
(
−
11
)
,
(
−
4
)
)
,
(
(
−
3
)
,
8
)
Question
5
5.
Write down the coordinates when reflected in the y-axis
(
(
−
3
)
,
(
−
6
)
)
,
(
4
,
6
)
,
(
6
,
1
)
,
(
7
,
(
−
4
)
)
(i)
(
3
,
(
−
6
)
)
,
(
(
−
4
)
,
6
)
,
(
(
−
6
)
,
1
)
,
(
(
−
8
)
,
(
−
3
)
)
(ii)
(
3
,
(
−
6
)
)
,
(
(
−
4
)
,
6
)
,
(
(
−
6
)
,
1
)
,
(
(
−
7
)
,
(
−
4
)
)
(iii)
(
3
,
(
−
6
)
)
,
(
(
−
4
)
,
6
)
,
(
(
−
5
)
,
0
)
,
(
(
−
7
)
,
(
−
4
)
)
(iv)
(
5
,
(
−
4
)
)
,
(
(
−
4
)
,
6
)
,
(
(
−
6
)
,
1
)
,
(
(
−
7
)
,
(
−
4
)
)
(v)
(
3
,
(
−
6
)
)
,
(
(
−
4
)
,
6
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
4
)
)
Question
6
6.
Find the image of the point A
(
(
−
6
)
,
(
−
4
)
)
under the reflection of a point P
(
(
−
5
)
,
(
−
11
2
)
)
(i)
(
(
−
5
)
,
(
−
6
)
)
(ii)
(
(
−
2
)
,
(
−
5
)
)
(iii)
(
(
−
3
)
,
(
−
8
)
)
(iv)
(
(
−
4
)
,
(
−
7
)
)
(v)
(
(
−
6
)
,
(
−
9
)
)
Question
7
7.
Which of the following English alphabet letters have infinite lines of symmetry?
(i)
I
(ii)
O
(iii)
C
(iv)
X
(v)
E
Question
8
8.
The English alphabet letter 'A' has how many lines of symmetry?
(i)
zero
(ii)
three
(iii)
two
(iv)
one
(v)
infinite
Question
9
9.
Which of the following are line(s) of symmetry for the given parallelogram?
(i)
h
(ii)
e
(iii)
none
(iv)
{ f, h }
(v)
{ e, f, g, h }
Question
10
10.
Find the coordinates of the reflection
of the point
(
8
,
1
)
in line
3
y
=
0
(i)
(
6
,
(
−
3
)
)
(ii)
(
8
,
(
−
1
)
)
(iii)
(
10
,
1
)
(iv)
(
9
,
(
−
2
)
)
(v)
(
7
,
0
)
Question
11
11.
Which of the following quadrilaterals have two lines of symmetry?
a)
rhombus
b)
isosceles trapezium
c)
rectangle
d)
square
e)
trapezium
f)
parallelogram
g)
kite
(i)
{g,c,a}
(ii)
{a,c}
(iii)
{e,f,a}
(iv)
{b,a}
(v)
{d,c}
Question
12
12.
Which of the following English alphabet letters have two lines of symmetry?
(i)
F
(ii)
I
(iii)
V
(iv)
E
(v)
G
Question
13
13.
The English alphabet letter 'H' has how many lines of symmetry?
(i)
three
(ii)
infinite
(iii)
zero
(iv)
one
(v)
two
Question
14
14.
Write down the coordinates when reflected in the x-axis
(
5
,
5
)
,
(
7
,
(
−
7
)
)
,
(
7
,
4
)
(i)
(
4
,
(
−
4
)
)
,
(
7
,
7
)
,
(
7
,
(
−
4
)
)
(ii)
(
5
,
(
−
5
)
)
,
(
7
,
7
)
,
(
8
,
(
−
5
)
)
(iii)
(
5
,
(
−
5
)
)
,
(
9
,
9
)
,
(
7
,
(
−
4
)
)
(iv)
(
5
,
(
−
5
)
)
,
(
7
,
7
)
,
(
5
,
(
−
6
)
)
(v)
(
5
,
(
−
5
)
)
,
(
7
,
7
)
,
(
7
,
(
−
4
)
)
Question
15
15.
The English alphabet letter 'F' has how many lines of symmetry?
(i)
two
(ii)
one
(iii)
infinite
(iv)
zero
(v)
three
Question
16
16.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
q
(iii)
r
(iv)
p
(v)
{ p, q, r }
Question
17
17.
Which of the following quadrilaterals have point symmetry?
a)
rectangle
b)
kite
c)
trapezium
d)
parallelogram
e)
square
f)
rhombus
g)
isosceles trapezium
(i)
{c,f,a}
(ii)
{c,d}
(iii)
{a,d,e,f}
(iv)
{b,a}
(v)
{g,b,e}
Question
18
18.
Given figure has how many lines of symmetry?
(i)
2
(ii)
8
(iii)
6
(iv)
5
(v)
4
Question
19
19.
Which of the following quadrilaterals have one line of symmetry?
a)
trapezium
b)
isosceles trapezium
c)
square
d)
kite
e)
rectangle
f)
parallelogram
g)
rhombus
(i)
{a,b}
(ii)
{b,d}
(iii)
{g,d,b}
(iv)
{c,d}
(v)
{e,f,b}
Question
20
20.
Find the image of the triangle formed by
(
7
,
(
−
8
)
)
,
(
(
−
6
)
,
(
−
1
)
)
and
(
0
,
3
)
when rotated about the origin by
180°
(i)
(
(
−
7
)
,
8
)
,
(
6
,
1
)
,
(
(
−
2
)
,
(
−
5
)
)
(ii)
(
(
−
8
)
,
9
)
,
(
6
,
1
)
,
(
0
,
(
−
3
)
)
(iii)
(
(
−
7
)
,
8
)
,
(
8
,
3
)
,
(
0
,
(
−
3
)
)
(iv)
(
(
−
7
)
,
8
)
,
(
6
,
1
)
,
(
0
,
(
−
3
)
)
(v)
(
(
−
7
)
,
8
)
,
(
6
,
1
)
,
(
1
,
(
−
4
)
)
Question
21
21.
Which of the following are true?
a)
A circle has rotational symmetry of infinite order.
b)
A circle has infinite points of symmetry.
c)
A circle has infinite lines of symmetry.
d)
A polygon need not be regular to have rotational symmetry.
e)
A polygon need not be regular to have point symmetry.
(i)
{b,e,a}
(ii)
{b,a}
(iii)
{b,c}
(iv)
{a,c,d,e}
(v)
{b,d}
Question
22
22.
Which of the following are true?
a)
A square 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 rectangle has rotational symmetry of order four.
e)
A semi-circle has rotational symmetry of order two.
(i)
{d,e,a}
(ii)
{b,a}
(iii)
{c,a}
(iv)
{a}
Question
23
23.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
r
(iii)
p
(iv)
{ p, q, r }
(v)
none
Question
24
24.
Find the coordinates of the reflection
of the point
(
(
−
1
)
,
(
−
5
)
)
in line
(
x
+
4
)
=
0
(i)
(
(
−
8
)
,
(
−
4
)
)
(ii)
(
(
−
5
)
,
(
−
3
)
)
(iii)
(
(
−
9
)
,
(
−
7
)
)
(iv)
(
(
−
7
)
,
(
−
5
)
)
(v)
(
(
−
6
)
,
(
−
6
)
)
Question
25
25.
Which of the following points is invariant under reflection in x-axis
(i)
(
6
,
4
)
(ii)
(
(
−
5
)
,
9
)
(iii)
(
8
,
0
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
(v)
(
1
,
(
−
1
)
)
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (iii)
5) (ii)
6) (iv)
7) (ii)
8) (iv)
9) (iii)
10) (ii)
11) (ii)
12) (ii)
13) (v)
14) (v)
15) (iv)
16) (iv)
17) (iii)
18) (iv)
19) (ii)
20) (iv)
21) (iv)
22) (iv)
23) (iv)
24) (iv)
25) (iii)
