EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following are line(s) of symmetry for the given parallelogram?
(i)
none
(ii)
f
(iii)
{ f, h }
(iv)
g
(v)
{ e, f, g, h }
Question
2
2.
Write down the coordinates when reflected in the x-axis
(i)
(
7
,
(
−
6
)
)
,
(
3
,
(
−
2
)
)
,
(
(
−
1
)
,
5
)
(ii)
(
6
,
(
−
5
)
)
,
(
1
,
(
−
4
)
)
,
(
(
−
1
)
,
5
)
(iii)
(
7
,
(
−
6
)
)
,
(
1
,
(
−
4
)
)
,
(
(
−
1
)
,
5
)
(iv)
(
7
,
(
−
6
)
)
,
(
1
,
(
−
4
)
)
,
(
0
,
4
)
(v)
(
7
,
(
−
6
)
)
,
(
1
,
(
−
4
)
)
,
(
(
−
3
)
,
3
)
Question
3
3.
Write down the coordinates when reflected in the origin
(i)
(
(
−
9
)
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
(
−
6
)
,
(
−
6
)
)
(ii)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
(
−
6
)
,
(
−
6
)
)
(iii)
(
(
−
9
)
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
7
)
,
(
−
6
)
)
,
(
(
−
6
)
,
(
−
6
)
)
(iv)
(
(
−
9
)
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
8
)
,
(
−
5
)
)
,
(
(
−
7
)
,
(
−
5
)
)
(v)
(
(
−
9
)
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
10
)
,
(
−
7
)
)
,
(
(
−
6
)
,
(
−
6
)
)
Question
4
4.
Write down the coordinates when reflected in the y-axis
(i)
(
4
,
2
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
6
)
,
3
)
(ii)
(
5
,
1
)
,
(
(
−
1
)
,
1
)
,
(
(
−
6
)
,
3
)
(iii)
(
5
,
1
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
8
)
,
1
)
(iv)
(
5
,
1
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
6
)
,
3
)
(v)
(
5
,
1
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
5
)
,
2
)
Question
5
5.
If a figure has rotational symmetry of order 5, then it regain its shape after being rotated by an angle of
(i)
69°
(ii)
67°
(iii)
72°
(iv)
77°
(v)
75°
Question
6
6.
Which of the following figures have three lines of symmetry?
a)
isosceles triangle
b)
equilateral triangle
c)
scalene triangle
d)
isosceles right angled triangle
e)
right angle triangle
f)
line segment
(i)
{f,b}
(ii)
{d,e,b}
(iii)
{a,b}
(iv)
{b}
(v)
{c,b}
Question
7
7.
Which of the following figures have infinite lines of symmetry?
a)
circle
b)
n-sided polygon where n is very large
c)
sector of a circle
d)
line segment
e)
semicircle
(i)
{b,a}
(ii)
{d,e,a}
(iii)
{c,a}
(iv)
{a}
Question
8
8.
Find the image of the rectangle formed by
(
(
−
6
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
0
,
0
)
and
(
(
−
6
)
,
0
)
when rotated about the origin by
90°
(i)
(
6
,
(
−
6
)
)
,
(
6
,
0
)
,
(
1
,
(
−
1
)
)
,
(
0
,
(
−
6
)
)
(ii)
(
6
,
(
−
6
)
)
,
(
6
,
0
)
,
(
0
,
0
)
,
(
(
−
1
)
,
(
−
5
)
)
(iii)
(
6
,
(
−
6
)
)
,
(
6
,
0
)
,
(
0
,
0
)
,
(
0
,
(
−
6
)
)
(iv)
(
6
,
(
−
6
)
)
,
(
6
,
0
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
0
,
(
−
6
)
)
(v)
(
8
,
(
−
4
)
)
,
(
6
,
0
)
,
(
0
,
0
)
,
(
0
,
(
−
6
)
)
Question
9
9.
Find the image of the triangle formed by
(
6
,
2
)
,
(
3
,
0
)
and
(
(
−
5
)
,
(
−
8
)
)
when rotated about the origin by
90°
(i)
(
(
−
3
)
,
7
)
,
(
0
,
3
)
,
(
8
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
6
)
,
(
0
,
3
)
,
(
6
,
(
−
7
)
)
(iii)
(
(
−
2
)
,
6
)
,
(
0
,
3
)
,
(
9
,
(
−
6
)
)
(iv)
(
(
−
2
)
,
6
)
,
(
2
,
5
)
,
(
8
,
(
−
5
)
)
(v)
(
(
−
2
)
,
6
)
,
(
0
,
3
)
,
(
8
,
(
−
5
)
)
Question
10
10.
Which of the following English alphabet letters does not have point symmetry?
(i)
S
(ii)
D
(iii)
I
(iv)
N
(v)
O
Question
11
11.
Which of the following English alphabet letters has point symmetry?
(i)
A
(ii)
D
(iii)
N
(iv)
E
(v)
C
Question
12
12.
Which of the following are line(s) of symmetry for the given rhombus?
(i)
{ f, h }
(ii)
e
(iii)
{ e, g }
(iv)
h
(v)
g
Question
13
13.
Which of the following figures have point symmetry?
a)
regular hexagon
b)
regular heptagon
c)
regular octagon
d)
semicircle
e)
regular pentagon
f)
circle
g)
sector of a circle
(i)
{b,a,c}
(ii)
{e,g,f}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c,f}
Question
14
14.
Write down the coordinates when reflected in the x-axis
(
(
−
8
)
,
9
)
,
(
2
,
7
)
,
(
1
,
0
)
(i)
(
(
−
9
)
,
(
−
8
)
)
,
(
2
,
(
−
7
)
)
,
(
1
,
0
)
(ii)
(
(
−
8
)
,
(
−
9
)
)
,
(
2
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
2
)
)
(iii)
(
(
−
8
)
,
(
−
9
)
)
,
(
2
,
(
−
7
)
)
,
(
1
,
0
)
(iv)
(
(
−
8
)
,
(
−
9
)
)
,
(
2
,
(
−
7
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
8
)
,
(
−
9
)
)
,
(
4
,
(
−
5
)
)
,
(
1
,
0
)
Question
15
15.
Given figure has how many lines of symmetry?
(i)
7
(ii)
6
(iii)
8
(iv)
5
(v)
4
Question
16
16.
Which of the following are true?
a)
A semi-circle has rotational symmetry of order two.
b)
A rhombus has rotational symmetry of order four.
c)
A parallelogram has rotational symmetry of order four.
d)
A square has rotational symmetry of order four.
e)
A rectangle has rotational symmetry of order four.
(i)
{a,d}
(ii)
{d}
(iii)
{c,e,d}
(iv)
{b,d}
Question
17
17.
Given figure has how many lines of symmetry?
(i)
2
(ii)
6
(iii)
7
(iv)
4
(v)
5
Question
18
18.
Which of the following are true?
a)
A circle has infinite lines of symmetry.
b)
A polygon need not be regular to have point symmetry.
c)
A circle has rotational symmetry of infinite order.
d)
A polygon need not be regular to have rotational symmetry.
e)
A circle has infinite points of symmetry.
(i)
{e,a}
(ii)
{a,b,c,d}
(iii)
{e,d,a}
(iv)
{e,c}
(v)
{e,b}
Question
19
19.
Write down the coordinates when reflected in the origin
(
(
−
9
)
,
(
−
9
)
)
,
(
4
,
0
)
,
(
6
,
2
)
,
(
(
−
9
)
,
(
−
1
)
)
(i)
(
9
,
9
)
,
(
(
−
4
)
,
0
)
,
(
(
−
5
)
,
(
−
3
)
)
,
(
9
,
1
)
(ii)
(
9
,
9
)
,
(
(
−
4
)
,
0
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
8
,
2
)
(iii)
(
11
,
11
)
,
(
(
−
4
)
,
0
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
9
,
1
)
(iv)
(
9
,
9
)
,
(
(
−
4
)
,
0
)
,
(
(
−
8
)
,
(
−
4
)
)
,
(
9
,
1
)
(v)
(
9
,
9
)
,
(
(
−
4
)
,
0
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
9
,
1
)
Question
20
20.
Which of the following English alphabet letters have one line of symmetry?
(i)
A
(ii)
X
(iii)
N
(iv)
I
(v)
P
Question
21
21.
Which of the following quadrilaterals have two lines of symmetry?
a)
kite
b)
trapezium
c)
square
d)
isosceles trapezium
e)
rectangle
f)
rhombus
g)
parallelogram
(i)
{e,f}
(ii)
{a,e}
(iii)
{g,f,e}
(iv)
{b,f}
(v)
{c,d,e}
Question
22
22.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
q
(iii)
p
(iv)
r
(v)
none
Question
23
23.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
r
(iii)
p
(iv)
none
(v)
{ p, q, r }
Question
24
24.
Find the image of the triangle formed by
(
(
−
2
)
,
7
)
,
(
8
,
1
)
and
(
(
−
3
)
,
(
−
7
)
)
when rotated about the origin by
180°
(i)
(
2
,
(
−
7
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
4
,
6
)
(ii)
(
1
,
(
−
6
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
3
,
7
)
(iii)
(
2
,
(
−
7
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
3
,
7
)
(iv)
(
2
,
(
−
7
)
)
,
(
(
−
6
)
,
1
)
,
(
3
,
7
)
(v)
(
2
,
(
−
7
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
1
,
5
)
Question
25
25.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
{ p, q, r }
(iii)
q
(iv)
p
(v)
none
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (iv)
7) (iv)
8) (iii)
9) (v)
10) (ii)
11) (iii)
12) (i)
13) (v)
14) (iii)
15) (ii)
16) (ii)
17) (v)
18) (ii)
19) (v)
20) (i)
21) (i)
22) (i)
23) (iii)
24) (iii)
25) (iii)
