EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Given figure has how many lines of symmetry?
(i)
6
(ii)
8
(iii)
4
(iv)
2
(v)
5
Question
2
2.
Which of the following quadrilaterals have zero lines of symmetry?
a)
isosceles trapezium
b)
parallelogram
c)
trapezium
d)
kite
e)
rectangle
f)
square
g)
rhombus
(i)
{g,c,b}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{e,f,b}
(v)
{b,c}
Question
3
3.
Write down the coordinates when reflected in the x-axis
(i)
(
7
,
3
)
,
(
(
−
1
)
,
4
)
,
(
(
−
6
)
,
1
)
(ii)
(
7
,
3
)
,
(
(
−
1
)
,
4
)
,
(
(
−
3
)
,
2
)
(iii)
(
6
,
4
)
,
(
(
−
1
)
,
4
)
,
(
(
−
4
)
,
3
)
(iv)
(
7
,
3
)
,
(
(
−
1
)
,
4
)
,
(
(
−
4
)
,
3
)
(v)
(
7
,
3
)
,
(
1
,
6
)
,
(
(
−
4
)
,
3
)
Question
4
4.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
{ p, q, r }
(iii)
p
(iv)
q
(v)
none
Question
5
5.
Write down the coordinates when reflected in the y-axis
(i)
(
5
,
(
−
7
)
)
,
(
(
−
6
)
,
0
)
,
(
4
,
(
−
7
)
)
,
(
6
,
(
−
2
)
)
(ii)
(
5
,
(
−
7
)
)
,
(
(
−
6
)
,
0
)
,
(
2
,
(
−
9
)
)
,
(
6
,
(
−
2
)
)
(iii)
(
5
,
(
−
7
)
)
,
(
(
−
6
)
,
0
)
,
(
5
,
(
−
8
)
)
,
(
6
,
(
−
2
)
)
(iv)
(
5
,
(
−
7
)
)
,
(
(
−
6
)
,
0
)
,
(
4
,
(
−
7
)
)
,
(
5
,
(
−
1
)
)
(v)
(
7
,
(
−
5
)
)
,
(
(
−
6
)
,
0
)
,
(
4
,
(
−
7
)
)
,
(
6
,
(
−
2
)
)
Question
6
6.
Which of the following figures have one line of symmetry?
a)
scalene triangle
b)
equilateral triangle
c)
right angled triangle
d)
isosceles triangle
e)
line segment
f)
angle with unequal arms
g)
angle with equal arms
h)
isosceles right angled triangle
(i)
{f,d,g}
(ii)
{b,g}
(iii)
{a,d}
(iv)
{c,e,h}
(v)
{d,g,h}
Question
7
7.
Which of the following are true?
a)
An obtuse angled triangle has zero lines of symmetry.
b)
A figure can have multiple axes of symmetry.
c)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
d)
Axis of symmetry of a figure need not intersect with the figure at any point.
e)
Line of symmetry is perpendicular to axis of symmetry.
f)
A figure can be broken into two congruent shapes about its axis of symmetry.
g)
A line segment has one line of symmetry.
h)
Line of symmetry and axis of symmetry are same.
(i)
{a,h,b}
(ii)
{a,b}
(iii)
{e,g,f}
(iv)
{d,c}
(v)
{b,c,f,h}
Question
8
8.
Which of the following English alphabet letters does not have point symmetry?
(i)
D
(ii)
S
(iii)
I
(iv)
X
(v)
Z
Question
9
9.
Which of the following English alphabet letters has rotational symmetry?
(i)
N
(ii)
A
(iii)
B
(iv)
G
(v)
D
Question
10
10.
Write down the coordinates when reflected in the x-axis
(
(
−
2
)
,
7
)
,
(
(
−
4
)
,
8
)
,
(
5
,
(
−
2
)
)
(i)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
6
,
1
)
(ii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
3
,
0
)
(iii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
5
,
2
)
(iv)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
5
,
2
)
(v)
(
(
−
3
)
,
(
−
6
)
)
,
(
(
−
4
)
,
(
−
8
)
)
,
(
5
,
2
)
Question
11
11.
Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?
a)
angle with equal arms
b)
line segment
c)
isosceles triangle
d)
equilateral triangle
e)
scalene triangle
(i)
{a,e}
(ii)
{c,d,e}
(iii)
{e}
(iv)
{b,e}
Question
12
12.
Which of the following quadrilaterals have four lines of symmetry?
a)
square
b)
kite
c)
rhombus
d)
trapezium
e)
isosceles trapezium
f)
rectangle
g)
parallelogram
(i)
{f,a}
(ii)
{b,a}
(iii)
{a}
(iv)
{d,e,a}
(v)
{c,a}
Question
13
13.
Which of the following quadrilaterals have no rotational symmetry?
a)
rhombus
b)
kite
c)
isosceles trapezium
d)
parallelogram
e)
rectangle
f)
square
g)
trapezium
(i)
{d,c}
(ii)
{e,f,g}
(iii)
{a,b}
(iv)
{b,c,g}
(v)
{a,b,c}
Question
14
14.
Find the new position of point
(
5
,
(
−
5
)
)
when rotated through
180°
clockwise about the origin
(i)
(
(
−
5
)
,
(
−
5
)
)
(ii)
(
5
,
5
)
(iii)
(
5
,
(
−
5
)
)
(iv)
(
(
−
5
)
,
5
)
Question
15
15.
Find the new position of point
(
(
−
2
)
,
(
−
5
)
)
when rotated through
90°
anticlockwise about the origin
(i)
(
(
−
5
)
,
2
)
(ii)
(
5
,
2
)
(iii)
(
(
−
2
)
,
5
)
(iv)
(
5
,
(
−
2
)
)
(v)
(
(
−
5
)
,
(
−
2
)
)
Question
16
16.
Which of the following English alphabet letters have infinite lines of symmetry?
(i)
I
(ii)
X
(iii)
E
(iv)
M
(v)
O
Question
17
17.
Write down the coordinates when reflected in the origin
(i)
(
(
−
5
)
,
5
)
,
(
5
,
0
)
,
(
(
−
9
)
,
(
−
8
)
)
(ii)
(
(
−
5
)
,
5
)
,
(
5
,
0
)
,
(
(
−
11
)
,
(
−
10
)
)
(iii)
(
(
−
5
)
,
5
)
,
(
5
,
0
)
,
(
(
−
8
)
,
(
−
9
)
)
(iv)
(
(
−
6
)
,
6
)
,
(
5
,
0
)
,
(
(
−
9
)
,
(
−
8
)
)
(v)
(
(
−
5
)
,
5
)
,
(
7
,
2
)
,
(
(
−
9
)
,
(
−
8
)
)
Question
18
18.
Find the image of the point A
(
(
−
3
)
,
5
)
under the reflection of a point P
(
3
2
,
5
)
(i)
(
7
,
4
)
(ii)
(
6
,
5
)
(iii)
(
4
,
3
)
(iv)
(
8
,
7
)
(v)
(
5
,
6
)
Question
19
19.
Which of the following triangles have rotational symmetry?
a)
scalene triangle
b)
equilateral triangle
c)
isosceles right angled triangle
d)
right angle triangle
e)
isosceles triangle
(i)
{a,b}
(ii)
{d,e,b}
(iii)
{b}
(iv)
{c,b}
Question
20
20.
Write down the coordinates when reflected in the x-axis
(i)
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
4
)
,
(
−
7
)
)
(ii)
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
3
)
,
(
−
8
)
)
(iii)
(
1
,
6
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
3
)
,
(
−
8
)
)
(iv)
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
4
)
,
(
−
7
)
)
,
(
(
−
3
)
,
(
−
8
)
)
(v)
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
3
)
,
(
−
8
)
)
Question
21
21.
Which of the following English alphabet letters have zero lines of symmetry?
(i)
W
(ii)
J
(iii)
D
(iv)
I
(v)
X
Question
22
22.
Find the new position of point
(
(
−
2
)
,
2
)
when rotated through
180°
anticlockwise about the origin
(i)
(
2
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
(iv)
(
2
,
2
)
Question
23
23.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
{ p, q, r }
(iii)
q
(iv)
r
(v)
p
Question
24
24.
Which of the following English alphabet letters have two lines of symmetry?
(i)
H
(ii)
B
(iii)
G
(iv)
D
(v)
F
Question
25
25.
Write down the coordinates when reflected in the origin
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
0
,
(
−
8
)
)
,
(
(
−
8
)
,
6
)
(i)
(
10
,
2
)
,
(
8
,
5
)
,
(
0
,
8
)
,
(
8
,
(
−
6
)
)
(ii)
(
8
,
0
)
,
(
8
,
5
)
,
(
0
,
8
)
,
(
8
,
(
−
6
)
)
(iii)
(
8
,
0
)
,
(
8
,
5
)
,
(
0
,
8
)
,
(
7
,
(
−
5
)
)
(iv)
(
8
,
0
)
,
(
8
,
5
)
,
(
(
−
2
)
,
6
)
,
(
8
,
(
−
6
)
)
(v)
(
8
,
0
)
,
(
8
,
5
)
,
(
1
,
7
)
,
(
8
,
(
−
6
)
)
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (v)
5) (i)
6) (v)
7) (v)
8) (i)
9) (i)
10) (iv)
11) (iii)
12) (iii)
13) (iv)
14) (iv)
15) (iv)
16) (v)
17) (i)
18) (ii)
19) (iii)
20) (ii)
21) (ii)
22) (i)
23) (ii)
24) (i)
25) (ii)
