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 quadrilaterals have point symmetry?
a)
rectangle
b)
kite
c)
square
d)
parallelogram
e)
rhombus
f)
trapezium
g)
isosceles trapezium
(i)
{f,c}
(ii)
{a,c,d,e}
(iii)
{f,e,a}
(iv)
{b,a}
(v)
{g,b,d}
Question
2
2.
Identify the line(s) of symmetry in the following figure
(i)
none
(ii)
r
(iii)
p
(iv)
q
(v)
{ p, q, r }
Question
3
3.
Identify the line(s) of symmetry in the following figure
(i)
{ p, q, r }
(ii)
r
(iii)
none
(iv)
q
(v)
p
Question
4
4.
Find the image of the point A
(
8
,
(
−
7
)
)
under the reflection of a point P
(
7
,
(
−
11
2
)
)
(i)
(
8
,
(
−
2
)
)
(ii)
(
7
,
(
−
5
)
)
(iii)
(
6
,
(
−
4
)
)
(iv)
(
4
,
(
−
6
)
)
(v)
(
5
,
(
−
3
)
)
Question
5
5.
Which of the following quadrilaterals have one line of symmetry?
a)
rectangle
b)
rhombus
c)
kite
d)
isosceles trapezium
e)
parallelogram
f)
square
g)
trapezium
(i)
{e,f,c}
(ii)
{g,d,c}
(iii)
{b,d}
(iv)
{a,c}
(v)
{c,d}
Question
6
6.
A figure possesses point symmetry if it regain its shape after rotating
(i)
180°
(ii)
90°
(iii)
270°
(iv)
360°
Question
7
7.
Which of the following points is invariant under reflection in x-axis
(i)
(
1
,
2
)
(ii)
(
(
−
5
)
,
7
)
(iii)
(
(
−
4
)
,
(
−
7
)
)
(iv)
(
(
−
5
)
,
0
)
(v)
(
7
,
(
−
1
)
)
Question
8
8.
Which of the following quadrilaterals have four lines of symmetry?
a)
square
b)
rhombus
c)
parallelogram
d)
isosceles trapezium
e)
kite
f)
rectangle
g)
trapezium
(i)
{a}
(ii)
{d,e,a}
(iii)
{f,a}
(iv)
{b,a}
(v)
{c,a}
Question
9
9.
Write down the coordinates when reflected in the origin
(i)
(
(
−
9
)
,
(
−
1
)
)
,
(
7
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
8
)
,
(
−
4
)
)
(ii)
(
(
−
9
)
,
(
−
1
)
)
,
(
7
,
(
−
3
)
)
,
(
1
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
4
)
)
(iii)
(
(
−
9
)
,
(
−
1
)
)
,
(
7
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
,
(
(
−
8
)
,
(
−
4
)
)
(iv)
(
(
−
9
)
,
(
−
1
)
)
,
(
7
,
(
−
3
)
)
,
(
1
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
3
)
)
(v)
(
(
−
7
)
,
1
)
,
(
7
,
(
−
3
)
)
,
(
1
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
4
)
)
Question
10
10.
Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?
a)
line segment
b)
angle with equal arms
c)
equilateral triangle
d)
isosceles triangle
e)
scalene triangle
(i)
{e}
(ii)
{b,e}
(iii)
{c,d,e}
(iv)
{a,e}
Question
11
11.
Write down the coordinates when reflected in the origin
(
(
−
8
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
2
,
0
)
,
(
(
−
8
)
,
(
−
8
)
)
(i)
(
8
,
6
)
,
(
1
,
1
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
8
,
8
)
(ii)
(
8
,
6
)
,
(
1
,
1
)
,
(
(
−
2
)
,
0
)
,
(
8
,
8
)
(iii)
(
10
,
8
)
,
(
1
,
1
)
,
(
(
−
2
)
,
0
)
,
(
8
,
8
)
(iv)
(
8
,
6
)
,
(
1
,
1
)
,
(
(
−
4
)
,
(
−
2
)
)
,
(
8
,
8
)
(v)
(
8
,
6
)
,
(
1
,
1
)
,
(
(
−
2
)
,
0
)
,
(
7
,
9
)
Question
12
12.
Which of the following English alphabet letters does not have point symmetry?
(i)
H
(ii)
A
(iii)
S
(iv)
N
(v)
X
Question
13
13.
Which of the following are true?
a)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
b)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
c)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
d)
Line of symmetry divides the polygon into two identical shapes.
e)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
f)
If a triangle has two lines of symmetry, then it is a regular polygon.
g)
A regular polygon of n sides will have n lines of symmetry.
(i)
{a,c}
(ii)
{c,d,e,g}
(iii)
{f,a,e}
(iv)
{b,g,c}
(v)
{b,d}
Question
14
14.
Write down the coordinates when reflected in the origin
(i)
(
(
−
6
)
,
5
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
1
)
)
(ii)
(
(
−
6
)
,
5
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
2
)
)
(iii)
(
(
−
6
)
,
5
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
4
)
,
(
−
3
)
)
(iv)
(
(
−
6
)
,
5
)
,
(
(
−
7
)
,
1
)
,
(
(
−
2
)
,
(
−
1
)
)
(v)
(
(
−
7
)
,
6
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
1
)
)
Question
15
15.
Which of the following figures have infinite lines of symmetry?
a)
sector of a circle
b)
n-sided polygon where n is very large
c)
semicircle
d)
line segment
e)
circle
(i)
{e}
(ii)
{c,d,e}
(iii)
{a,e}
(iv)
{b,e}
Question
16
16.
Find the new position of point
(
(
−
8
)
,
1
)
when rotated through
90°
anticlockwise about the origin
(i)
(
(
−
8
)
,
(
−
1
)
)
(ii)
(
1
,
8
)
(iii)
(
(
−
1
)
,
8
)
(iv)
(
1
,
(
−
8
)
)
(v)
(
(
−
1
)
,
(
−
8
)
)
Question
17
17.
Which of the following English alphabet letters has point symmetry?
(i)
D
(ii)
X
(iii)
E
(iv)
B
(v)
A
Question
18
18.
Write down the coordinates when reflected in the x-axis
(i)
(
(
−
8
)
,
1
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
7
)
,
9
)
(ii)
(
(
−
8
)
,
1
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
6
)
,
8
)
(iii)
(
(
−
8
)
,
1
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
9
)
(iv)
(
(
−
8
)
,
1
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
9
)
,
7
)
(v)
(
(
−
9
)
,
2
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
7
)
,
9
)
Question
19
19.
Given figure has how many lines of symmetry?
(i)
2
(ii)
8
(iii)
6
(iv)
4
(v)
5
Question
20
20.
A figure possesses rotational symmetry if it regain its shape after rotating
a)
360°
b)
270°
c)
90°
d)
180°
(i)
{b,c,d}
(ii)
{a,d}
(iii)
{a,b}
(iv)
{a,c}
(v)
{a,b,c}
Question
21
21.
Which of the following are true?
a)
A circle has infinite points of symmetry.
b)
If a figure does not have point symmetry, it does not have line symmetry too.
c)
If a figure has line symmetry, it also has rotational symmetry.
d)
If a figure does not have rotational symmetry, it does not have point symmetry too.
e)
All regular polygons have point symmetry.
f)
If a figure does not have line symmetry, it does not have rotational symmetry too.
g)
If a figure does not have point symmetry, it does not have rotational symmetry too.
(i)
{c,e,d}
(ii)
{d}
(iii)
{b,d}
(iv)
{f,d}
(v)
{a,d}
Question
22
22.
Find the image of the rectangle formed by
(
(
−
2
)
,
(
−
4
)
)
,
(
4
,
(
−
4
)
)
,
(
4
,
0
)
and
(
(
−
2
)
,
0
)
when rotated about the origin by
90°
(i)
(
4
,
(
−
2
)
)
,
(
4
,
4
)
,
(
0
,
4
)
,
(
(
−
1
)
,
(
−
1
)
)
(ii)
(
4
,
(
−
2
)
)
,
(
4
,
4
)
,
(
(
−
2
)
,
2
)
,
(
0
,
(
−
2
)
)
(iii)
(
4
,
(
−
2
)
)
,
(
4
,
4
)
,
(
1
,
3
)
,
(
0
,
(
−
2
)
)
(iv)
(
6
,
0
)
,
(
4
,
4
)
,
(
0
,
4
)
,
(
0
,
(
−
2
)
)
(v)
(
4
,
(
−
2
)
)
,
(
4
,
4
)
,
(
0
,
4
)
,
(
0
,
(
−
2
)
)
Question
23
23.
Which of the following figures have one line of symmetry?
a)
angle with equal arms
b)
isosceles right angled triangle
c)
right angled triangle
d)
angle with unequal arms
e)
isosceles triangle
f)
line segment
g)
equilateral triangle
h)
scalene triangle
(i)
{f,g,e}
(ii)
{c,a}
(iii)
{h,a,b}
(iv)
{a,b,e}
(v)
{d,b}
Question
24
24.
Which of the following English alphabet letters have two lines of symmetry?
(i)
K
(ii)
J
(iii)
Z
(iv)
X
(v)
B
Question
25
25.
Which of the following triangles have rotational symmetry?
a)
isosceles right angled triangle
b)
equilateral triangle
c)
right angle triangle
d)
scalene triangle
e)
isosceles triangle
(i)
{b}
(ii)
{a,b}
(iii)
{d,e,b}
(iv)
{c,b}
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (i)
7) (iv)
8) (i)
9) (ii)
10) (i)
11) (ii)
12) (ii)
13) (ii)
14) (i)
15) (i)
16) (v)
17) (ii)
18) (i)
19) (v)
20) (i)
21) (ii)
22) (v)
23) (iv)
24) (iv)
25) (i)
