EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Write down the coordinates when reflected in the origin
(i)
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
0
,
(
−
9
)
)
,
(
(
−
8
)
,
(
−
5
)
)
(ii)
(
1
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
0
,
(
−
9
)
)
,
(
(
−
8
)
,
(
−
5
)
)
(iii)
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
1
,
(
−
10
)
)
,
(
(
−
8
)
,
(
−
5
)
)
(iv)
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
0
,
(
−
9
)
)
,
(
(
−
9
)
,
(
−
4
)
)
(v)
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
8
)
,
(
−
5
)
)
Question
2
2.
Which of the following English alphabet letters has rotational symmetry?
(i)
F
(ii)
B
(iii)
C
(iv)
E
(v)
I
Question
3
3.
Which of the following English alphabet letters does not have rotational symmetry?
(i)
H
(ii)
Z
(iii)
I
(iv)
N
(v)
A
Question
4
4.
Which of the following triangles have rotational symmetry?
a)
isosceles right angled triangle
b)
right angle triangle
c)
scalene triangle
d)
isosceles triangle
e)
equilateral triangle
(i)
{c,d,e}
(ii)
{e}
(iii)
{b,e}
(iv)
{a,e}
Question
5
5.
Which of the following quadrilaterals have zero lines of symmetry?
a)
trapezium
b)
parallelogram
c)
square
d)
rhombus
e)
isosceles trapezium
f)
rectangle
g)
kite
(i)
{a,b}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{g,b,a}
(v)
{e,f,a}
Question
6
6.
Which of the following are line(s) of symmetry for the given square?
(i)
{ f, h }
(ii)
h
(iii)
none
(iv)
{ e, f, g, h }
(v)
{ e, g }
Question
7
7.
The English alphabet letter 'J' has how many lines of symmetry?
(i)
zero
(ii)
infinite
(iii)
two
(iv)
one
(v)
three
Question
8
8.
Which of the following are line(s) of symmetry for the given rhombus?
(i)
f
(ii)
none
(iii)
g
(iv)
{ f, h }
(v)
h
Question
9
9.
Which of the following English alphabet letters have one line of symmetry?
(i)
H
(ii)
I
(iii)
U
(iv)
R
(v)
Z
Question
10
10.
Write down the coordinates when reflected in the origin
(
(
−
7
)
,
3
)
,
(
8
,
(
−
7
)
)
,
(
1
,
(
−
9
)
)
(i)
(
7
,
(
−
3
)
)
,
(
(
−
8
)
,
7
)
,
(
(
−
1
)
,
9
)
(ii)
(
7
,
(
−
3
)
)
,
(
(
−
8
)
,
7
)
,
(
(
−
3
)
,
7
)
(iii)
(
7
,
(
−
3
)
)
,
(
(
−
8
)
,
7
)
,
(
0
,
8
)
(iv)
(
6
,
(
−
2
)
)
,
(
(
−
8
)
,
7
)
,
(
(
−
1
)
,
9
)
(v)
(
7
,
(
−
3
)
)
,
(
(
−
6
)
,
9
)
,
(
(
−
1
)
,
9
)
Question
11
11.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
h
(ii)
g
(iii)
none
(iv)
{ e, g }
(v)
e
Question
12
12.
The English alphabet letter 'I' has how many lines of symmetry?
(i)
three
(ii)
two
(iii)
one
(iv)
zero
(v)
infinite
Question
13
13.
Which of the following English alphabet letters have infinite lines of symmetry?
(i)
I
(ii)
X
(iii)
O
(iv)
Y
(v)
D
Question
14
14.
Which of the following figures have no line of symmetry?
a)
angle with equal arms
b)
scalene triangle
c)
isosceles triangle
d)
angle with unequal arms
e)
line segment
f)
equilateral triangle
(i)
{e,f,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{a,d,b}
(v)
{b,d}
Question
15
15.
Write down the coordinates when reflected in the y-axis
(i)
(
2
,
3
)
,
(
(
−
4
)
,
(
−
9
)
)
,
(
(
−
4
)
,
(
−
4
)
)
,
(
5
,
9
)
(ii)
(
2
,
3
)
,
(
(
−
4
)
,
(
−
9
)
)
,
(
(
−
4
)
,
(
−
4
)
)
,
(
4
,
10
)
(iii)
(
4
,
5
)
,
(
(
−
4
)
,
(
−
9
)
)
,
(
(
−
4
)
,
(
−
4
)
)
,
(
5
,
9
)
(iv)
(
2
,
3
)
,
(
(
−
4
)
,
(
−
9
)
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
5
,
9
)
(v)
(
2
,
3
)
,
(
(
−
4
)
,
(
−
9
)
)
,
(
(
−
3
)
,
(
−
5
)
)
,
(
5
,
9
)
Question
16
16.
Which of the following figures have three lines of symmetry?
a)
isosceles triangle
b)
line segment
c)
isosceles right angled triangle
d)
equilateral triangle
e)
scalene triangle
f)
right angle triangle
(i)
{a,d}
(ii)
{f,d}
(iii)
{b,d}
(iv)
{c,e,d}
(v)
{d}
Question
17
17.
If a figure has rotational symmetry of order 9, then it regain its shape after being rotated by an angle of
(i)
37°
(ii)
35°
(iii)
45°
(iv)
43°
(v)
40°
Question
18
18.
Write down the coordinates when reflected in the x-axis
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
(
−
2
)
)
,
(
0
,
6
)
,
(
(
−
5
)
,
(
−
8
)
)
(i)
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
2
)
,
(
0
,
(
−
6
)
)
,
(
(
−
5
)
,
8
)
(ii)
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
2
)
,
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
5
)
,
8
)
(iii)
(
(
−
2
)
,
1
)
,
(
(
−
4
)
,
2
)
,
(
0
,
(
−
6
)
)
,
(
(
−
5
)
,
8
)
(iv)
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
2
)
,
(
1
,
(
−
7
)
)
,
(
(
−
5
)
,
8
)
(v)
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
2
)
,
(
0
,
(
−
6
)
)
,
(
(
−
6
)
,
9
)
Question
19
19.
A figure possesses point symmetry if it regain its shape after rotating
(i)
180°
(ii)
360°
(iii)
270°
(iv)
90°
Question
20
20.
Write down the coordinates when reflected in the y-axis
(
(
−
7
)
,
6
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
4
,
(
−
4
)
)
(i)
(
9
,
8
)
,
(
1
,
(
−
3
)
)
,
(
8
,
(
−
4
)
)
,
(
(
−
4
)
,
(
−
4
)
)
(ii)
(
7
,
6
)
,
(
1
,
(
−
3
)
)
,
(
6
,
(
−
6
)
)
,
(
(
−
4
)
,
(
−
4
)
)
(iii)
(
7
,
6
)
,
(
1
,
(
−
3
)
)
,
(
8
,
(
−
4
)
)
,
(
(
−
4
)
,
(
−
4
)
)
(iv)
(
7
,
6
)
,
(
1
,
(
−
3
)
)
,
(
8
,
(
−
4
)
)
,
(
(
−
5
)
,
(
−
3
)
)
(v)
(
7
,
6
)
,
(
1
,
(
−
3
)
)
,
(
9
,
(
−
5
)
)
,
(
(
−
4
)
,
(
−
4
)
)
Question
21
21.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
(i)
g
(ii)
none
(iii)
h
(iv)
e
(v)
f
Question
22
22.
Find the new position of point
(
3
,
(
−
1
)
)
when rotated through
90°
clockwise about the origin
(i)
(
1
,
(
−
3
)
)
(ii)
(
(
−
3
)
,
(
−
1
)
)
(iii)
(
(
−
1
)
,
3
)
(iv)
(
(
−
1
)
,
(
−
3
)
)
(v)
(
1
,
3
)
Question
23
23.
Write down the coordinates when reflected in the origin
(
0
,
5
)
,
(
(
−
2
)
,
5
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
6
,
7
)
(i)
(
0
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
,
(
4
,
8
)
,
(
(
−
6
)
,
(
−
7
)
)
(ii)
(
0
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
,
(
2
,
6
)
,
(
(
−
6
)
,
(
−
7
)
)
(iii)
(
0
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
,
(
5
,
7
)
,
(
(
−
6
)
,
(
−
7
)
)
(iv)
(
0
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
,
(
4
,
8
)
,
(
(
−
7
)
,
(
−
6
)
)
(v)
(
2
,
(
−
3
)
)
,
(
2
,
(
−
5
)
)
,
(
4
,
8
)
,
(
(
−
6
)
,
(
−
7
)
)
Question
24
24.
Find the new position of point
(
(
−
9
)
,
1
)
when rotated through
90°
anticlockwise about the origin
(i)
(
1
,
9
)
(ii)
(
(
−
1
)
,
9
)
(iii)
(
1
,
(
−
9
)
)
(iv)
(
(
−
9
)
,
(
−
1
)
)
(v)
(
(
−
1
)
,
(
−
9
)
)
Question
25
25.
Find the image of the rectangle formed by
(
(
−
4
)
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
,
(
2
,
5
)
and
(
(
−
4
)
,
5
)
when rotated about the origin by
90°
(i)
(
3
,
(
−
4
)
)
,
(
3
,
2
)
,
(
(
−
7
)
,
0
)
,
(
(
−
5
)
,
(
−
4
)
)
(ii)
(
3
,
(
−
4
)
)
,
(
3
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
6
)
,
(
−
3
)
)
(iii)
(
3
,
(
−
4
)
)
,
(
3
,
2
)
,
(
(
−
4
)
,
1
)
,
(
(
−
5
)
,
(
−
4
)
)
(iv)
(
3
,
(
−
4
)
)
,
(
3
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
5
)
,
(
−
4
)
)
(v)
(
5
,
(
−
2
)
)
,
(
3
,
2
)
,
(
(
−
5
)
,
2
)
,
(
(
−
5
)
,
(
−
4
)
)
Assignment Key
1) (i)
2) (v)
3) (v)
4) (ii)
5) (i)
6) (iv)
7) (i)
8) (iv)
9) (iii)
10) (i)
11) (iii)
12) (ii)
13) (iii)
14) (v)
15) (i)
16) (v)
17) (v)
18) (i)
19) (i)
20) (iii)
21) (iv)
22) (iv)
23) (i)
24) (v)
25) (iv)
