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)
(
0
,
6
)
,
(
7
,
9
)
,
(
7
,
(
−
8
)
)
,
(
5
,
0
)
(ii)
(
0
,
6
)
,
(
7
,
9
)
,
(
9
,
(
−
6
)
)
,
(
4
,
1
)
(iii)
(
0
,
6
)
,
(
7
,
9
)
,
(
10
,
(
−
7
)
)
,
(
5
,
0
)
(iv)
(
2
,
8
)
,
(
7
,
9
)
,
(
9
,
(
−
6
)
)
,
(
5
,
0
)
(v)
(
0
,
6
)
,
(
7
,
9
)
,
(
9
,
(
−
6
)
)
,
(
5
,
0
)
Question
2
2.
Write down the coordinates when reflected in the x-axis
(i)
(
8
,
1
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
9
)
,
8
)
(ii)
(
9
,
0
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
11
)
,
6
)
(iii)
(
9
,
0
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
8
)
,
7
)
(iv)
(
9
,
0
)
,
(
(
−
4
)
,
(
−
4
)
)
,
(
(
−
9
)
,
8
)
(v)
(
9
,
0
)
,
(
(
−
6
)
,
(
−
6
)
)
,
(
(
−
9
)
,
8
)
Question
3
3.
Which of the following are true?
a)
If a figure does not have rotational symmetry, it does not have point symmetry too.
b)
A circle has infinite points of symmetry.
c)
If a figure has line symmetry, it also has rotational symmetry.
d)
If a figure does not have point symmetry, it does not have line symmetry too.
e)
If a figure does not have line symmetry, it does not have rotational symmetry too.
f)
If a figure does not have point symmetry, it does not have rotational symmetry too.
g)
All regular polygons have point symmetry.
(i)
{b,a}
(ii)
{d,e,a}
(iii)
{c,a}
(iv)
{a}
(v)
{f,a}
Question
4
4.
Which of the following figures have point symmetry?
a)
line segment
b)
isosceles right angled triangle
c)
scalene triangle
d)
isosceles triangle
e)
right angle triangle
f)
equilateral triangle
(i)
{d,e,a}
(ii)
{c,a}
(iii)
{b,a}
(iv)
{f,a}
(v)
{a}
Question
5
5.
Find the image of the point
(
5
,
(
−
3
)
)
when reflected in y-axis
(i)
(
(
−
5
)
,
(
−
3
)
)
(ii)
(
(
−
4
)
,
(
−
3
)
)
(iii)
(
5
,
3
)
(iv)
(
(
−
5
)
,
3
)
(v)
(
(
−
3
)
,
(
−
5
)
)
Question
6
6.
Find the image of the triangle formed by
(
7
,
3
)
,
(
2
,
5
)
and
(
1
,
(
−
7
)
)
when rotated about the origin by
180°
(i)
(
(
−
7
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
(
−
1
)
,
7
)
(ii)
(
(
−
7
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
0
,
6
)
(iii)
(
(
−
7
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
7
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
7
)
(v)
(
(
−
7
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
3
)
,
5
)
Question
7
7.
Which of the following English alphabet letters have one line of symmetry?
(i)
Q
(ii)
A
(iii)
H
(iv)
X
(v)
F
Question
8
8.
Which of the following quadrilaterals have no rotational symmetry?
a)
parallelogram
b)
trapezium
c)
square
d)
rectangle
e)
kite
f)
rhombus
g)
isosceles trapezium
(i)
{d,f,g}
(ii)
{c,e}
(iii)
{a,b}
(iv)
{b,e,g}
(v)
{a,b,e}
Question
9
9.
Find the image of the triangle formed by
(
5
,
5
)
,
(
(
−
4
)
,
(
−
1
)
)
and
(
(
−
4
)
,
(
−
2
)
)
when rotated about the origin by
90°
(i)
(
(
−
5
)
,
5
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(ii)
(
(
−
5
)
,
5
)
,
(
1
,
(
−
4
)
)
,
(
3
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
5
)
,
(
1
,
(
−
4
)
)
,
(
0
,
(
−
6
)
)
(iv)
(
(
−
5
)
,
5
)
,
(
3
,
(
−
2
)
)
,
(
2
,
(
−
4
)
)
(v)
(
(
−
6
)
,
6
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
Question
10
10.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
q
(iii)
p
(iv)
none
(v)
{ p, q, r }
Question
11
11.
The English alphabet letter 'O' has how many lines of symmetry?
(i)
one
(ii)
zero
(iii)
infinite
(iv)
two
(v)
three
Question
12
12.
Which of the following quadrilaterals have four lines of symmetry?
a)
parallelogram
b)
square
c)
isosceles trapezium
d)
trapezium
e)
rhombus
f)
kite
g)
rectangle
(i)
{a,b}
(ii)
{c,b}
(iii)
{b}
(iv)
{d,e,b}
(v)
{f,b}
Question
13
13.
Which of the following figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?
a)
equilateral triangle
b)
regular pentagon
c)
regular hexagon
d)
circle
e)
parallelogram
f)
angle with equal arms
g)
square
h)
line segment
(i)
{e,f,g}
(ii)
{c,d,g,h}
(iii)
{a,h,c}
(iv)
{a,c}
(v)
{b,d}
Question
14
14.
Identify the line(s) of symmetry in the following figure
(i)
p
(ii)
{ p, q, r }
(iii)
r
(iv)
none
(v)
q
Question
15
15.
Find the new position of point
(
2
,
(
−
9
)
)
when rotated through
90°
anticlockwise about the origin
(i)
(
9
,
2
)
(ii)
(
9
,
(
−
2
)
)
(iii)
(
(
−
9
)
,
(
−
2
)
)
(iv)
(
2
,
9
)
(v)
(
(
−
9
)
,
2
)
Question
16
16.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
{ f, h }
(ii)
none
(iii)
f
(iv)
{ e, f, g, h }
(v)
g
Question
17
17.
Which of the following quadrilaterals have zero lines of symmetry?
a)
kite
b)
square
c)
rhombus
d)
rectangle
e)
isosceles trapezium
f)
trapezium
g)
parallelogram
(i)
{a,f}
(ii)
{e,g,f}
(iii)
{f,g}
(iv)
{b,g}
(v)
{c,d,f}
Question
18
18.
Which of the following are line(s) of symmetry for the given rectangle?
(i)
none
(ii)
{ f, h }
(iii)
{ e, g }
(iv)
g
(v)
h
Question
19
19.
Find the image of the point
(
6
,
(
−
6
)
)
when reflected in the origin
(i)
(
(
−
5
)
,
6
)
(ii)
(
6
,
(
−
6
)
)
(iii)
(
(
−
6
)
,
6
)
(iv)
(
6
,
6
)
(v)
(
(
−
6
)
,
(
−
6
)
)
Question
20
20.
Which of the following quadrilaterals have one line of symmetry?
a)
trapezium
b)
rectangle
c)
square
d)
kite
e)
isosceles trapezium
f)
rhombus
g)
parallelogram
(i)
{a,d}
(ii)
{g,e,d}
(iii)
{d,e}
(iv)
{c,f,d}
(v)
{b,e}
Question
21
21.
Which of the following English alphabet letters does not have point symmetry?
(i)
N
(ii)
X
(iii)
O
(iv)
A
(v)
I
Question
22
22.
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)
equilateral triangle
e)
angle with equal arms
(i)
{b,c}
(ii)
{d,e,c}
(iii)
{c}
(iv)
{a,c}
Question
23
23.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
p
(iii)
q
(iv)
{ p, q, r }
(v)
r
Question
24
24.
Write down the coordinates when reflected in the x-axis
(i)
(
(
−
3
)
,
5
)
,
(
0
,
(
−
2
)
)
,
(
(
−
6
)
,
(
−
4
)
)
,
(
(
−
8
)
,
(
−
7
)
)
(ii)
(
(
−
1
)
,
7
)
,
(
0
,
(
−
2
)
)
,
(
(
−
6
)
,
(
−
4
)
)
,
(
(
−
7
)
,
(
−
8
)
)
(iii)
(
(
−
3
)
,
5
)
,
(
0
,
(
−
2
)
)
,
(
(
−
6
)
,
(
−
4
)
)
,
(
(
−
7
)
,
(
−
8
)
)
(iv)
(
(
−
3
)
,
5
)
,
(
0
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
5
)
)
,
(
(
−
7
)
,
(
−
8
)
)
(v)
(
(
−
3
)
,
5
)
,
(
0
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
6
)
)
,
(
(
−
7
)
,
(
−
8
)
)
Question
25
25.
Which of the following figures have no line of symmetry?
a)
isosceles triangle
b)
line segment
c)
angle with equal arms
d)
scalene triangle
e)
angle with unequal arms
f)
equilateral triangle
(i)
{a,e,d}
(ii)
{b,e}
(iii)
{a,d}
(iv)
{d,e}
(v)
{c,f,d}
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (v)
5) (i)
6) (iii)
7) (ii)
8) (iv)
9) (i)
10) (iv)
11) (iii)
12) (iii)
13) (ii)
14) (ii)
15) (i)
16) (ii)
17) (iii)
18) (iii)
19) (iii)
20) (iii)
21) (iv)
22) (iii)
23) (iii)
24) (iii)
25) (iv)
