EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry, Reflection and Rotation
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the new position of point
(
5
,
(
−
8
)
)
when rotated through
180°
anticlockwise about the origin
(i)
(
5
,
8
)
(ii)
(
(
−
5
)
,
8
)
(iii)
(
5
,
(
−
8
)
)
(iv)
(
8
,
(
−
5
)
)
(v)
(
(
−
5
)
,
(
−
8
)
)
Question
2
2.
Which of the following are line(s) of symmetry for the given square?
(i)
{ f, h }
(ii)
{ e, g }
(iii)
h
(iv)
g
(v)
{ e, f, g, h }
Question
3
3.
A figure possesses rotational symmetry if it regain its shape after rotating
a)
90°
b)
270°
c)
180°
d)
360°
(i)
{d,a,b}
(ii)
{a,b,c}
(iii)
{d,a}
(iv)
{d,b}
(v)
{d,c}
Question
4
4.
Find the image of the rectangle formed by
(
(
−
3
)
,
(
−
4
)
)
,
(
5
,
(
−
4
)
)
,
(
5
,
3
)
and
(
(
−
3
)
,
3
)
when rotated about the origin by
270°
(i)
(
(
−
4
)
,
3
)
,
(
(
−
4
)
,
(
−
5
)
)
,
(
4
,
(
−
6
)
)
,
(
3
,
3
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
4
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
3
,
3
)
(iii)
(
(
−
4
)
,
3
)
,
(
(
−
4
)
,
(
−
5
)
)
,
(
1
,
(
−
7
)
)
,
(
3
,
3
)
(iv)
(
(
−
4
)
,
3
)
,
(
(
−
4
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
2
,
4
)
(v)
(
(
−
4
)
,
3
)
,
(
(
−
4
)
,
(
−
5
)
)
,
(
3
,
(
−
5
)
)
,
(
3
,
3
)
Question
5
5.
Find the image of the point
(
2
,
(
−
4
)
)
when reflected in y-axis
(i)
(
(
−
4
)
,
(
−
2
)
)
(ii)
(
(
−
1
)
,
(
−
4
)
)
(iii)
(
(
−
2
)
,
(
−
4
)
)
(iv)
(
2
,
4
)
(v)
(
(
−
2
)
,
4
)
Question
6
6.
Identify the line(s) of symmetry in the following figure
(i)
r
(ii)
p
(iii)
{ p, q, r }
(iv)
none
(v)
q
Question
7
7.
Find the image of the rectangle formed by
(
(
−
4
)
,
(
−
4
)
)
,
(
3
,
(
−
4
)
)
,
(
3
,
(
−
1
)
)
and
(
(
−
4
)
,
(
−
1
)
)
when rotated about the origin by
90°
(i)
(
4
,
(
−
4
)
)
,
(
4
,
3
)
,
(
2
,
2
)
,
(
1
,
(
−
4
)
)
(ii)
(
4
,
(
−
4
)
)
,
(
4
,
3
)
,
(
1
,
3
)
,
(
1
,
(
−
4
)
)
(iii)
(
6
,
(
−
2
)
)
,
(
4
,
3
)
,
(
1
,
3
)
,
(
1
,
(
−
4
)
)
(iv)
(
4
,
(
−
4
)
)
,
(
4
,
3
)
,
(
1
,
3
)
,
(
0
,
(
−
3
)
)
(v)
(
4
,
(
−
4
)
)
,
(
4
,
3
)
,
(
(
−
1
)
,
1
)
,
(
1
,
(
−
4
)
)
Question
8
8.
Write down the coordinates when reflected in the y-axis
(
(
−
6
)
,
6
)
,
(
(
−
9
)
,
3
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
9
,
(
−
7
)
)
(i)
(
8
,
8
)
,
(
9
,
3
)
,
(
2
,
(
−
6
)
)
,
(
(
−
9
)
,
(
−
7
)
)
(ii)
(
6
,
6
)
,
(
9
,
3
)
,
(
3
,
(
−
7
)
)
,
(
(
−
9
)
,
(
−
7
)
)
(iii)
(
6
,
6
)
,
(
9
,
3
)
,
(
2
,
(
−
6
)
)
,
(
(
−
10
)
,
(
−
6
)
)
(iv)
(
6
,
6
)
,
(
9
,
3
)
,
(
2
,
(
−
6
)
)
,
(
(
−
9
)
,
(
−
7
)
)
(v)
(
6
,
6
)
,
(
9
,
3
)
,
(
0
,
(
−
8
)
)
,
(
(
−
9
)
,
(
−
7
)
)
Question
9
9.
Which of the following figures have point symmetry?
a)
circle
b)
regular heptagon
c)
regular octagon
d)
semicircle
e)
regular hexagon
f)
regular pentagon
g)
sector of a circle
(i)
{b,a,c}
(ii)
{f,g,e}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c,e}
Question
10
10.
Which of the following are line(s) of symmetry for the given kite?
(i)
f
(ii)
{ e, f, g, h }
(iii)
{ e, g }
(iv)
g
(v)
h
Question
11
11.
Which of the following are true?
a)
A regular polygon of n sides will have n lines of symmetry.
b)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
c)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
d)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
e)
Line of symmetry divides the polygon into two identical shapes.
f)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
g)
If a triangle has two lines of symmetry, then it is a regular polygon.
(i)
{a,b,c,e}
(ii)
{g,d,c}
(iii)
{f,e,a}
(iv)
{f,b}
(v)
{d,a}
Question
12
12.
Which of the following quadrilaterals have point symmetry?
a)
rectangle
b)
parallelogram
c)
kite
d)
trapezium
e)
isosceles trapezium
f)
square
g)
rhombus
(i)
{d,b}
(ii)
{e,c,f}
(iii)
{a,b,f,g}
(iv)
{d,g,a}
(v)
{c,a}
Question
13
13.
The English alphabet letter 'N' has how many lines of symmetry?
(i)
three
(ii)
infinite
(iii)
zero
(iv)
two
(v)
one
Question
14
14.
Which of the following are true?
a)
A rectangle has rotational symmetry of order four.
b)
A parallelogram has rotational symmetry of order four.
c)
A rhombus has rotational symmetry of order four.
d)
A square has rotational symmetry of order four.
e)
A semi-circle has rotational symmetry of order two.
(i)
{c,e,d}
(ii)
{a,d}
(iii)
{d}
(iv)
{b,d}
Question
15
15.
Write down the coordinates when reflected in the y-axis
(
(
−
8
)
,
(
−
9
)
)
,
(
(
−
3
)
,
8
)
,
(
(
−
4
)
,
(
−
5
)
)
(i)
(
8
,
(
−
9
)
)
,
(
3
,
8
)
,
(
2
,
(
−
7
)
)
(ii)
(
8
,
(
−
9
)
)
,
(
3
,
8
)
,
(
4
,
(
−
5
)
)
(iii)
(
8
,
(
−
9
)
)
,
(
3
,
8
)
,
(
5
,
(
−
6
)
)
(iv)
(
8
,
(
−
9
)
)
,
(
5
,
10
)
,
(
4
,
(
−
5
)
)
(v)
(
7
,
(
−
8
)
)
,
(
3
,
8
)
,
(
4
,
(
−
5
)
)
Question
16
16.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
r
(iii)
none
(iv)
p
(v)
q
Question
17
17.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
p
(iii)
r
(iv)
none
(v)
{ p, q, r }
Question
18
18.
Which of the following English alphabet letters has rotational symmetry?
(i)
D
(ii)
K
(iii)
Z
(iv)
C
(v)
B
Question
19
19.
Find the image of the triangle formed by
(
(
−
6
)
,
(
−
3
)
)
,
(
6
,
(
−
8
)
)
and
(
6
,
6
)
when rotated about the origin by
90°
(i)
(
2
,
(
−
5
)
)
,
(
8
,
6
)
,
(
(
−
6
)
,
6
)
(ii)
(
3
,
(
−
6
)
)
,
(
8
,
6
)
,
(
(
−
8
)
,
4
)
(iii)
(
3
,
(
−
6
)
)
,
(
8
,
6
)
,
(
(
−
6
)
,
6
)
(iv)
(
3
,
(
−
6
)
)
,
(
8
,
6
)
,
(
(
−
5
)
,
5
)
(v)
(
3
,
(
−
6
)
)
,
(
10
,
8
)
,
(
(
−
6
)
,
6
)
Question
20
20.
Which of the following English alphabet letters have two lines of symmetry?
(i)
N
(ii)
T
(iii)
A
(iv)
H
(v)
Z
Question
21
21.
A median is an axis of symmetry in which of the given figures?
a)
equilateral triangle
b)
isosceles triangle
c)
right angle triangle
d)
scalene triangle
e)
isosceles right angled triangle
(i)
{d,b}
(ii)
{a,b,e}
(iii)
{c,a}
(iv)
{c,a,b}
(v)
{c,d,e}
Question
22
22.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
e
(ii)
h
(iii)
none
(iv)
{ e, g }
(v)
f
Question
23
23.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
r
(iii)
{ p, q, r }
(iv)
p
(v)
none
Question
24
24.
Which of the following quadrilaterals have three lines of symmetry?
a)
parallelogram
b)
rectangle
c)
isosceles trapezium
d)
none
e)
square
f)
trapezium
g)
rhombus
(i)
{a,d}
(ii)
{b,d}
(iii)
{f,d}
(iv)
{c,e,d}
(v)
{d}
Question
25
25.
If a figure has rotational symmetry of order 10, then it regain its shape after being rotated by an angle of
(i)
36°
(ii)
39°
(iii)
33°
(iv)
41°
(v)
31°
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (v)
5) (iii)
6) (iv)
7) (ii)
8) (iv)
9) (v)
10) (v)
11) (i)
12) (iii)
13) (iii)
14) (iii)
15) (ii)
16) (iii)
17) (v)
18) (iii)
19) (iii)
20) (iv)
21) (ii)
22) (iii)
23) (i)
24) (v)
25) (i)
