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 quadrilaterals have point symmetry?
a)
rectangle
b)
square
c)
kite
d)
parallelogram
e)
trapezium
f)
rhombus
g)
isosceles trapezium
(i)
{a,b,d,f}
(ii)
{g,c,d}
(iii)
{e,b}
(iv)
{c,a}
(v)
{e,f,a}
Question
2
2.
The English alphabet letter 'B' has how many lines of symmetry?
(i)
three
(ii)
zero
(iii)
two
(iv)
one
(v)
infinite
Question
3
3.
Find the new position of point
(
8
,
4
)
when rotated through
90°
clockwise about the origin
(i)
(
4
,
8
)
(ii)
(
4
,
(
−
8
)
)
(iii)
(
(
−
4
)
,
(
−
8
)
)
(iv)
(
(
−
4
)
,
8
)
(v)
(
(
−
8
)
,
4
)
Question
4
4.
The English alphabet letter 'X' has how many lines of symmetry?
(i)
zero
(ii)
three
(iii)
infinite
(iv)
one
(v)
two
Question
5
5.
Find the new position of point
(
(
−
8
)
,
(
−
4
)
)
when rotated through
180°
clockwise about the origin
(i)
(
(
−
8
)
,
(
−
4
)
)
(ii)
(
8
,
4
)
(iii)
(
4
,
8
)
(iv)
(
8
,
(
−
4
)
)
(v)
(
(
−
8
)
,
4
)
Question
6
6.
Which of the following quadrilaterals have zero lines of symmetry?
a)
isosceles trapezium
b)
parallelogram
c)
rectangle
d)
square
e)
rhombus
f)
kite
g)
trapezium
(i)
{a,b}
(ii)
{d,e,b}
(iii)
{f,g,b}
(iv)
{c,g}
(v)
{b,g}
Question
7
7.
Identify the line(s) of symmetry in the following figure
(i)
p
(ii)
r
(iii)
{ p, q, r }
(iv)
q
(v)
none
Question
8
8.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
none
(iii)
p
(iv)
r
(v)
q
Question
9
9.
Write down the coordinates when reflected in the y-axis
(
0
,
8
)
,
(
3
,
1
)
,
(
0
,
5
)
,
(
6
,
(
−
4
)
)
(i)
(
2
,
10
)
,
(
(
−
3
)
,
1
)
,
(
0
,
5
)
,
(
(
−
6
)
,
(
−
4
)
)
(ii)
(
0
,
8
)
,
(
(
−
3
)
,
1
)
,
(
(
−
2
)
,
3
)
,
(
(
−
6
)
,
(
−
4
)
)
(iii)
(
0
,
8
)
,
(
(
−
3
)
,
1
)
,
(
0
,
5
)
,
(
(
−
7
)
,
(
−
3
)
)
(iv)
(
0
,
8
)
,
(
(
−
3
)
,
1
)
,
(
0
,
5
)
,
(
(
−
6
)
,
(
−
4
)
)
(v)
(
0
,
8
)
,
(
(
−
3
)
,
1
)
,
(
1
,
4
)
,
(
(
−
6
)
,
(
−
4
)
)
Question
10
10.
Find the image of the rectangle formed by
(
(
−
1
)
,
(
−
5
)
)
,
(
7
,
(
−
5
)
)
,
(
7
,
(
−
2
)
)
and
(
(
−
1
)
,
(
−
2
)
)
when rotated about the origin by
180°
(i)
(
1
,
5
)
,
(
(
−
7
)
,
5
)
,
(
(
−
9
)
,
0
)
,
(
1
,
2
)
(ii)
(
1
,
5
)
,
(
(
−
7
)
,
5
)
,
(
(
−
7
)
,
2
)
,
(
1
,
2
)
(iii)
(
1
,
5
)
,
(
(
−
7
)
,
5
)
,
(
(
−
6
)
,
1
)
,
(
1
,
2
)
(iv)
(
1
,
5
)
,
(
(
−
7
)
,
5
)
,
(
(
−
7
)
,
2
)
,
(
0
,
3
)
(v)
(
3
,
7
)
,
(
(
−
7
)
,
5
)
,
(
(
−
7
)
,
2
)
,
(
1
,
2
)
Question
11
11.
Which of the following English alphabet letters does not have point symmetry?
(i)
I
(ii)
O
(iii)
C
(iv)
X
(v)
H
Question
12
12.
Which of the following are true?
a)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
b)
Line of symmetry divides the polygon into two identical shapes.
c)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
d)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
e)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
f)
If a triangle has two lines of symmetry, then it is a regular polygon.
g)
A regular polygon of n sides will have n lines of symmetry.
(i)
{d,g,a}
(ii)
{d,b}
(iii)
{a,b,e,g}
(iv)
{c,a}
(v)
{f,c,e}
Question
13
13.
Find the image of the rectangle formed by
(
(
−
6
)
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
1
,
1
)
and
(
(
−
6
)
,
1
)
when rotated about the origin by
90°
(i)
(
5
,
(
−
4
)
)
,
(
3
,
1
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
(
−
6
)
)
(ii)
(
3
,
(
−
6
)
)
,
(
3
,
1
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
6
)
)
(iii)
(
3
,
(
−
6
)
)
,
(
3
,
1
)
,
(
0
,
0
)
,
(
(
−
1
)
,
(
−
6
)
)
(iv)
(
3
,
(
−
6
)
)
,
(
3
,
1
)
,
(
(
−
1
)
,
1
)
,
(
(
−
2
)
,
(
−
5
)
)
(v)
(
3
,
(
−
6
)
)
,
(
3
,
1
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
(
−
6
)
)
Question
14
14.
Find the image of the rectangle formed by
(
(
−
1
)
,
(
−
6
)
)
,
(
6
,
(
−
6
)
)
,
(
6
,
(
−
2
)
)
and
(
(
−
1
)
,
(
−
2
)
)
when rotated about the origin by
270°
(i)
(
(
−
6
)
,
1
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
2
)
,
1
)
(ii)
(
(
−
6
)
,
1
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
3
)
,
2
)
(iii)
(
(
−
6
)
,
1
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
(
−
2
)
,
1
)
(iv)
(
(
−
4
)
,
3
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
2
)
,
1
)
(v)
(
(
−
6
)
,
1
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
(
−
2
)
,
1
)
Question
15
15.
Which of the following figures have two lines of symmetry?
a)
rectangle
b)
square
c)
isosceles trapezium
d)
kite
e)
angle with equal arms
f)
line segment
g)
scalene triangle
h)
isosceles triangle
(i)
{d,e,a}
(ii)
{b,a}
(iii)
{c,f}
(iv)
{a,f}
(v)
{g,f,a}
Question
16
16.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
{ p, q, r }
(iii)
q
(iv)
p
(v)
none
Question
17
17.
Which of the following English alphabet letters have one line of symmetry?
(i)
I
(ii)
D
(iii)
G
(iv)
X
(v)
J
Question
18
18.
Which of the following quadrilaterals have one line of symmetry?
a)
trapezium
b)
parallelogram
c)
rectangle
d)
rhombus
e)
square
f)
kite
g)
isosceles trapezium
(i)
{c,d,f}
(ii)
{b,g}
(iii)
{e,g,f}
(iv)
{f,g}
(v)
{a,f}
Question
19
19.
Which of the following are true?
a)
A figure can have multiple axes of symmetry.
b)
An obtuse angled triangle has zero lines of symmetry.
c)
A line segment has one line of symmetry.
d)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
e)
Line of symmetry is perpendicular to axis of symmetry.
f)
Line of symmetry and axis of symmetry are same.
g)
Axis of symmetry of a figure need not intersect with the figure at any point.
h)
A figure can be broken into two congruent shapes about its axis of symmetry.
(i)
{a,d,f,h}
(ii)
{c,d}
(iii)
{e,g,f}
(iv)
{b,h,a}
(v)
{b,a}
Question
20
20.
Which of the following are line(s) of symmetry for the given square?
(i)
{ e, f, g, h }
(ii)
h
(iii)
e
(iv)
{ e, g }
(v)
g
Question
21
21.
Find the new position of point
(
3
,
9
)
when rotated through
180°
anticlockwise about the origin
(i)
(
3
,
(
−
9
)
)
(ii)
(
(
−
3
)
,
(
−
9
)
)
(iii)
(
(
−
9
)
,
(
−
3
)
)
(iv)
(
3
,
9
)
(v)
(
(
−
3
)
,
9
)
Question
22
22.
Given figure has how many lines of symmetry?
(i)
7
(ii)
2
(iii)
4
(iv)
5
(v)
6
Question
23
23.
Find the image of the triangle formed by
(
7
,
4
)
,
(
(
−
1
)
,
(
−
7
)
)
and
(
(
−
7
)
,
1
)
when rotated about the origin by
90°
(i)
(
(
−
4
)
,
7
)
,
(
7
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
7
)
)
(ii)
(
(
−
5
)
,
8
)
,
(
7
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
7
)
)
(iii)
(
(
−
4
)
,
7
)
,
(
7
,
(
−
1
)
)
,
(
0
,
(
−
8
)
)
(iv)
(
(
−
4
)
,
7
)
,
(
9
,
1
)
,
(
(
−
1
)
,
(
−
7
)
)
(v)
(
(
−
4
)
,
7
)
,
(
7
,
(
−
1
)
)
,
(
(
−
3
)
,
(
−
9
)
)
Question
24
24.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
none
(iii)
p
(iv)
r
(v)
{ p, q, r }
Question
25
25.
A figure possesses rotational symmetry if it regain its shape after rotating
a)
90°
b)
180°
c)
360°
d)
270°
(i)
{c,b}
(ii)
{a,b,d}
(iii)
{c,d}
(iv)
{c,a}
(v)
{c,a,b}
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (v)
5) (ii)
6) (v)
7) (iii)
8) (iii)
9) (iv)
10) (ii)
11) (iii)
12) (iii)
13) (v)
14) (i)
15) (iv)
16) (v)
17) (ii)
18) (iv)
19) (i)
20) (i)
21) (ii)
22) (iv)
23) (i)
24) (i)
25) (ii)
