EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the coordinates of the reflection
of the point
(
(
−
3
)
,
3
)
in line
(
2
x
−
8
)
=
0
(i)
(
12
,
2
)
(ii)
(
13
,
5
)
(iii)
(
10
,
4
)
(iv)
(
9
,
1
)
(v)
(
11
,
3
)
Question
2
2.
Find the image of the triangle formed by
(
(
−
1
)
,
(
−
1
)
)
,
(
6
,
(
−
3
)
)
and
(
(
−
4
)
,
8
)
when rotated about the origin by
270°
(i)
(
(
−
1
)
,
1
)
,
(
(
−
3
)
,
(
−
6
)
)
,
(
6
,
2
)
(ii)
(
(
−
1
)
,
1
)
,
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
4
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
3
)
,
(
−
6
)
)
,
(
8
,
4
)
(iv)
(
(
−
1
)
,
1
)
,
(
(
−
3
)
,
(
−
6
)
)
,
(
9
,
3
)
(v)
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
8
,
4
)
Question
3
3.
A figure possesses point symmetry if it regain its shape after rotating
(i)
360°
(ii)
270°
(iii)
180°
(iv)
90°
Question
4
4.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
p
(iii)
none
(iv)
q
(v)
{ p, q, r }
Question
5
5.
Find the image of the rectangle formed by
(
(
−
3
)
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
3
)
and
(
(
−
3
)
,
3
)
when rotated about the origin by
270°
(i)
(
(
−
1
)
,
3
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
7
)
)
,
(
3
,
3
)
(ii)
(
1
,
5
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
3
,
3
)
(iii)
(
(
−
1
)
,
3
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
2
,
4
)
(iv)
(
(
−
1
)
,
3
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
3
,
3
)
(v)
(
(
−
1
)
,
3
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
4
,
(
−
6
)
)
,
(
3
,
3
)
Question
6
6.
Which of the following figures have no line of symmetry?
a)
scalene triangle
b)
line segment
c)
equilateral triangle
d)
isosceles triangle
e)
angle with unequal arms
f)
angle with equal arms
(i)
{a,e}
(ii)
{d,f,a}
(iii)
{c,e}
(iv)
{b,e,a}
(v)
{b,a}
Question
7
7.
Write down the coordinates when reflected in the y-axis
(i)
(
5
,
(
−
5
)
)
,
(
5
,
0
)
,
(
(
−
8
)
,
2
)
(ii)
(
4
,
(
−
4
)
)
,
(
5
,
0
)
,
(
(
−
6
)
,
4
)
(iii)
(
5
,
(
−
5
)
)
,
(
5
,
0
)
,
(
(
−
5
)
,
3
)
(iv)
(
5
,
(
−
5
)
)
,
(
7
,
2
)
,
(
(
−
6
)
,
4
)
(v)
(
5
,
(
−
5
)
)
,
(
5
,
0
)
,
(
(
−
6
)
,
4
)
Question
8
8.
Which of the following quadrilaterals have four lines of symmetry?
a)
rectangle
b)
isosceles trapezium
c)
trapezium
d)
kite
e)
square
f)
parallelogram
g)
rhombus
(i)
{a,e}
(ii)
{f,e}
(iii)
{e}
(iv)
{c,d,e}
(v)
{b,e}
Question
9
9.
Which of the following are line(s) of symmetry for the given kite?
(i)
e
(ii)
h
(iii)
f
(iv)
{ e, f, g, h }
(v)
{ e, g }
Question
10
10.
Find the image of the triangle formed by
(
2
,
(
−
4
)
)
,
(
(
−
6
)
,
1
)
and
(
1
,
1
)
when rotated about the origin by
90°
(i)
(
4
,
2
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
3
)
,
(
−
1
)
)
(ii)
(
4
,
2
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
1
)
,
1
)
(iii)
(
4
,
2
)
,
(
1
,
(
−
4
)
)
,
(
(
−
1
)
,
1
)
(iv)
(
4
,
2
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
0
)
(v)
(
3
,
3
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
1
)
,
1
)
Question
11
11.
Find the image of the point
(
(
−
2
)
,
2
)
when reflected in y-axis
(i)
(
3
,
2
)
(ii)
(
2
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
(iv)
(
2
,
(
−
2
)
)
Question
12
12.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
{ p, q, r }
(iii)
none
(iv)
q
(v)
p
Question
13
13.
Write down the coordinates when reflected in the origin
(i)
(
4
,
(
−
6
)
)
,
(
11
,
8
)
,
(
3
,
(
−
5
)
)
(ii)
(
4
,
(
−
6
)
)
,
(
9
,
6
)
,
(
1
,
(
−
7
)
)
(iii)
(
4
,
(
−
6
)
)
,
(
9
,
6
)
,
(
3
,
(
−
5
)
)
(iv)
(
3
,
(
−
5
)
)
,
(
9
,
6
)
(v)
(
4
,
(
−
6
)
)
,
(
9
,
6
)
Question
14
14.
Find the image of the rectangle formed by
(
(
−
1
)
,
(
−
5
)
)
,
(
5
,
(
−
5
)
)
,
(
5
,
2
)
and
(
(
−
1
)
,
2
)
when rotated about the origin by
180°
(i)
(
1
,
5
)
,
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
1
,
(
−
2
)
)
(ii)
(
3
,
7
)
,
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
1
,
(
−
2
)
)
(iii)
(
1
,
5
)
,
(
(
−
5
)
,
5
)
,
(
(
−
7
)
,
(
−
4
)
)
,
(
1
,
(
−
2
)
)
(iv)
(
1
,
5
)
,
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
0
,
(
−
1
)
)
(v)
(
1
,
5
)
,
(
(
−
5
)
,
5
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
1
,
(
−
2
)
)
Question
15
15.
Which of the following are true?
a)
A semi-circle has rotational symmetry of order two.
b)
A square has rotational symmetry of order four.
c)
A rectangle has rotational symmetry of order four.
d)
A parallelogram has rotational symmetry of order four.
e)
A rhombus has rotational symmetry of order four.
(i)
{a,b}
(ii)
{b}
(iii)
{d,e,b}
(iv)
{c,b}
Question
16
16.
Write down the coordinates when reflected in the origin
(i)
(
0
,
(
−
8
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
7
,
7
)
,
(
9
,
(
−
5
)
)
(ii)
(
2
,
(
−
6
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
7
,
7
)
,
(
9
,
(
−
5
)
)
(iii)
(
0
,
(
−
8
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
8
,
6
)
,
(
9
,
(
−
5
)
)
(iv)
(
0
,
(
−
8
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
7
,
7
)
,
(
8
,
(
−
4
)
)
(v)
(
0
,
(
−
8
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
5
,
5
)
,
(
9
,
(
−
5
)
)
Question
17
17.
Write down the coordinates when reflected in the origin
(
(
−
3
)
,
(
−
2
)
)
,
(
6
,
(
−
3
)
)
,
(
2
,
(
−
7
)
)
,
(
9
,
(
−
5
)
)
(i)
(
3
,
2
)
,
(
(
−
6
)
,
3
)
,
(
(
−
1
)
,
6
)
,
(
(
−
9
)
,
5
)
(ii)
(
3
,
2
)
,
(
(
−
6
)
,
3
)
,
(
(
−
2
)
,
7
)
,
(
(
−
10
)
,
6
)
(iii)
(
3
,
2
)
,
(
(
−
6
)
,
3
)
,
(
(
−
4
)
,
5
)
,
(
(
−
9
)
,
5
)
(iv)
(
5
,
4
)
,
(
(
−
6
)
,
3
)
,
(
(
−
2
)
,
7
)
,
(
(
−
9
)
,
5
)
(v)
(
3
,
2
)
,
(
(
−
6
)
,
3
)
,
(
(
−
2
)
,
7
)
,
(
(
−
9
)
,
5
)
Question
18
18.
Find the image of the rectangle formed by
(
(
−
4
)
,
(
−
2
)
)
,
(
2
,
(
−
2
)
)
,
(
2
,
5
)
and
(
(
−
4
)
,
5
)
when rotated about the origin by
90°
(i)
(
2
,
(
−
4
)
)
,
(
2
,
2
)
,
(
(
−
7
)
,
0
)
,
(
(
−
5
)
,
(
−
4
)
)
(ii)
(
4
,
(
−
2
)
)
,
(
2
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
5
)
,
(
−
4
)
)
(iii)
(
2
,
(
−
4
)
)
,
(
2
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
5
)
,
(
−
4
)
)
(iv)
(
2
,
(
−
4
)
)
,
(
2
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
6
)
,
(
−
3
)
)
(v)
(
2
,
(
−
4
)
)
,
(
2
,
2
)
,
(
(
−
4
)
,
1
)
,
(
(
−
5
)
,
(
−
4
)
)
Question
19
19.
Which of the following are line(s) of symmetry for the given square?
(i)
{ e, f, g, h }
(ii)
{ e, g }
(iii)
{ f, h }
(iv)
g
(v)
h
Question
20
20.
Given figure has how many lines of symmetry?
(i)
7
(ii)
3
(iii)
6
(iv)
5
(v)
4
Question
21
21.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
p
(iii)
q
(iv)
{ p, q, r }
(v)
r
Question
22
22.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
g
(ii)
{ e, f, g, h }
(iii)
none
(iv)
f
(v)
e
Question
23
23.
Which of the following are true?
a)
If a figure does not have line symmetry, it does not have rotational symmetry too.
b)
If a figure has line symmetry, it also has rotational symmetry.
c)
A circle has infinite points of symmetry.
d)
If a figure does not have point symmetry, it does not have line symmetry too.
e)
If a figure does not have point symmetry, it does not have rotational symmetry too.
f)
All regular polygons have point symmetry.
g)
If a figure does not have rotational symmetry, it does not have point symmetry too.
(i)
{a,g}
(ii)
{c,d,g}
(iii)
{g}
(iv)
{b,g}
(v)
{e,g}
Question
24
24.
Find the new position of point
(
(
−
4
)
,
9
)
when rotated through
180°
anticlockwise about the origin
(i)
(
4
,
(
−
9
)
)
(ii)
(
4
,
9
)
(iii)
(
(
−
9
)
,
4
)
(iv)
(
(
−
4
)
,
9
)
(v)
(
(
−
4
)
,
(
−
9
)
)
Question
25
25.
Which of the following English alphabet letters has point symmetry?
(i)
E
(ii)
N
(iii)
D
(iv)
L
(v)
B
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (iii)
5) (iv)
6) (i)
7) (v)
8) (iii)
9) (ii)
10) (ii)
11) (ii)
12) (v)
13) (iii)
14) (i)
15) (ii)
16) (i)
17) (v)
18) (iii)
19) (i)
20) (iv)
21) (i)
22) (iii)
23) (iii)
24) (i)
25) (ii)
