EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If a figure has rotational symmetry of order 3, then it regain its shape after being rotated by an angle of
(i)
137°
(ii)
116°
(iii)
92°
(iv)
120°
(v)
142°
Question
2
2.
Find the image of the point
(
6
,
7
)
when reflected in y-axis
(i)
(
7
,
(
−
6
)
)
(ii)
(
(
−
5
)
,
7
)
(iii)
(
(
−
6
)
,
7
)
(iv)
(
6
,
(
−
7
)
)
(v)
(
(
−
6
)
,
(
−
7
)
)
Question
3
3.
Find the image of the point
(
(
−
6
)
,
6
)
when reflected in x-axis
(i)
(
(
−
6
)
,
(
−
6
)
)
(ii)
(
6
,
6
)
(iii)
(
(
−
5
)
,
(
−
6
)
)
(iv)
(
6
,
(
−
6
)
)
Question
4
4.
Given figure has how many lines of symmetry?
(i)
5
(ii)
8
(iii)
4
(iv)
3
(v)
6
Question
5
5.
Which of the following figures have infinite lines of symmetry?
a)
n-sided polygon where n is very large
b)
line segment
c)
circle
d)
semicircle
e)
sector of a circle
(i)
{d,e,c}
(ii)
{a,c}
(iii)
{b,c}
(iv)
{c}
Question
6
6.
Find the coordinates of the reflection
of the point
(
7
,
3
)
in line
(
−
2
x
+
16
)
=
0
(i)
(
10
,
2
)
(ii)
(
9
,
3
)
(iii)
(
7
,
1
)
(iv)
(
8
,
4
)
(v)
(
11
,
5
)
Question
7
7.
Find the new position of point
(
(
−
5
)
,
8
)
when rotated through
180°
clockwise about the origin
(i)
(
5
,
(
−
8
)
)
(ii)
(
(
−
8
)
,
5
)
(iii)
(
(
−
5
)
,
(
−
8
)
)
(iv)
(
5
,
8
)
(v)
(
(
−
5
)
,
8
)
Question
8
8.
Which of the following quadrilaterals have three lines of symmetry?
a)
square
b)
rhombus
c)
none
d)
trapezium
e)
parallelogram
f)
rectangle
g)
isosceles trapezium
(i)
{d,e,c}
(ii)
{a,c}
(iii)
{f,c}
(iv)
{b,c}
(v)
{c}
Question
9
9.
Which of the following English alphabet letters does not have rotational symmetry?
(i)
S
(ii)
I
(iii)
H
(iv)
A
(v)
O
Question
10
10.
Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?
a)
isosceles triangle
b)
line segment
c)
scalene triangle
d)
angle with equal arms
e)
equilateral triangle
(i)
{b,c}
(ii)
{a,c}
(iii)
{c}
(iv)
{d,e,c}
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 rotational 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 point symmetry.
(i)
{c,e,a}
(ii)
{a,b,d,e}
(iii)
{c,d}
(iv)
{c,a}
(v)
{c,b}
Question
12
12.
Which of the following are line(s) of symmetry for the given kite?
(i)
{ e, g }
(ii)
none
(iii)
h
(iv)
e
(v)
{ f, h }
Question
13
13.
Find the image of the rectangle formed by
(
(
−
5
)
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
,
(
2
,
3
)
and
(
(
−
5
)
,
3
)
when rotated about the origin by
270°
(i)
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
3
,
(
−
2
)
)
,
(
2
,
6
)
(ii)
(
(
−
3
)
,
7
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
3
,
(
−
2
)
)
,
(
3
,
5
)
(iii)
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
4
,
(
−
3
)
)
,
(
3
,
5
)
(iv)
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
3
,
(
−
2
)
)
,
(
3
,
5
)
(v)
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
1
,
(
−
4
)
)
,
(
3
,
5
)
Question
14
14.
Which of the following figures have point symmetry?
a)
regular octagon
b)
circle
c)
semicircle
d)
regular heptagon
e)
regular hexagon
f)
regular pentagon
g)
sector of a circle
(i)
{a,b,e}
(ii)
{c,a}
(iii)
{f,g,e}
(iv)
{c,a,b}
(v)
{d,b}
Question
15
15.
The English alphabet letter 'F' has how many lines of symmetry?
(i)
two
(ii)
zero
(iii)
one
(iv)
three
(v)
infinite
Question
16
16.
Which of the following figures have three lines of symmetry?
a)
right angle triangle
b)
isosceles right angled triangle
c)
scalene triangle
d)
equilateral triangle
e)
line segment
f)
isosceles triangle
(i)
{f,d}
(ii)
{b,d}
(iii)
{c,e,d}
(iv)
{a,d}
(v)
{d}
Question
17
17.
Which of the following quadrilaterals have no rotational symmetry?
a)
trapezium
b)
rhombus
c)
rectangle
d)
square
e)
kite
f)
parallelogram
g)
isosceles trapezium
(i)
{a,e,g}
(ii)
{c,e}
(iii)
{d,f,g}
(iv)
{b,a}
(v)
{b,a,e}
Question
18
18.
Which of the following figures have point symmetry?
a)
line segment
b)
equilateral triangle
c)
isosceles triangle
d)
right angle triangle
e)
isosceles right angled triangle
f)
scalene triangle
(i)
{f,a}
(ii)
{a}
(iii)
{d,e,a}
(iv)
{b,a}
(v)
{c,a}
Question
19
19.
The English alphabet letter 'M' has how many lines of symmetry?
(i)
two
(ii)
zero
(iii)
infinite
(iv)
three
(v)
one
Question
20
20.
Which of the following quadrilaterals have two lines of symmetry?
a)
square
b)
rectangle
c)
kite
d)
parallelogram
e)
rhombus
f)
trapezium
g)
isosceles trapezium
(i)
{c,e}
(ii)
{d,f,b}
(iii)
{g,e,b}
(iv)
{b,e}
(v)
{a,b}
Question
21
21.
Find the image of the rectangle formed by
(
(
−
6
)
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
1
,
0
)
and
(
(
−
6
)
,
0
)
when rotated about the origin by
90°
(i)
(
4
,
(
−
6
)
)
,
(
4
,
1
)
,
(
0
,
1
)
,
(
(
−
1
)
,
(
−
5
)
)
(ii)
(
6
,
(
−
4
)
)
,
(
4
,
1
)
,
(
0
,
1
)
,
(
0
,
(
−
6
)
)
(iii)
(
4
,
(
−
6
)
)
,
(
4
,
1
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
0
,
(
−
6
)
)
(iv)
(
4
,
(
−
6
)
)
,
(
4
,
1
)
,
(
0
,
1
)
,
(
0
,
(
−
6
)
)
(v)
(
4
,
(
−
6
)
)
,
(
4
,
1
)
,
(
1
,
0
)
,
(
0
,
(
−
6
)
)
Question
22
22.
Write down the coordinates when reflected in the y-axis
(
(
−
4
)
,
2
)
,
(
(
−
7
)
,
2
)
,
(
2
,
3
)
(i)
(
4
,
2
)
,
(
7
,
2
)
,
(
(
−
1
)
,
2
)
(ii)
(
4
,
2
)
,
(
7
,
2
)
,
(
(
−
2
)
,
3
)
(iii)
(
4
,
2
)
,
(
7
,
2
)
,
(
(
−
4
)
,
1
)
(iv)
(
4
,
2
)
,
(
9
,
4
)
,
(
(
−
2
)
,
3
)
(v)
(
3
,
3
)
,
(
7
,
2
)
,
(
(
−
2
)
,
3
)
Question
23
23.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
{ e, f, g, h }
(ii)
e
(iii)
h
(iv)
{ f, h }
(v)
none
Question
24
24.
Which of the following are true?
a)
Axis of symmetry of a figure need not intersect with the figure at any point.
b)
A figure can be broken into two congruent shapes about its axis of symmetry.
c)
An obtuse angled triangle has zero lines of symmetry.
d)
A figure can have multiple axes of symmetry.
e)
A line segment has one line of symmetry.
f)
Line of symmetry and axis of symmetry are same.
g)
Line of symmetry is perpendicular to axis of symmetry.
h)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
(i)
{b,d,f,h}
(ii)
{a,h,b}
(iii)
{e,g,f}
(iv)
{a,b}
(v)
{c,d}
Question
25
25.
A figure possesses point symmetry if it regain its shape after rotating
(i)
180°
(ii)
270°
(iii)
360°
(iv)
90°
Assignment Key
1) (iv)
2) (iii)
3) (i)
4) (i)
5) (iv)
6) (ii)
7) (i)
8) (v)
9) (iv)
10) (iii)
11) (ii)
12) (iii)
13) (iv)
14) (i)
15) (ii)
16) (v)
17) (i)
18) (ii)
19) (v)
20) (iv)
21) (iv)
22) (ii)
23) (v)
24) (i)
25) (i)
