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 one line of symmetry?
a)
isosceles trapezium
b)
kite
c)
square
d)
parallelogram
e)
rhombus
f)
trapezium
g)
rectangle
(i)
{c,a}
(ii)
{g,b,a}
(iii)
{d,b}
(iv)
{a,b}
(v)
{e,f,a}
Question
2
2.
Which of the following are line(s) of symmetry for the given trapezium?
(i)
e
(ii)
h
(iii)
{ f, h }
(iv)
{ e, g }
(v)
none
Question
3
3.
Which of the following figures have point symmetry?
a)
right angle triangle
b)
line segment
c)
isosceles triangle
d)
scalene triangle
e)
equilateral triangle
f)
isosceles right angled triangle
(i)
{c,b}
(ii)
{a,b}
(iii)
{d,e,b}
(iv)
{f,b}
(v)
{b}
Question
4
4.
Find the image of the point
(
0
,
2
)
when reflected in the origin
(i)
(
(
−
2
)
,
0
)
(ii)
(
0
,
(
−
2
)
)
(iii)
(
1
,
(
−
2
)
)
(iv)
(
0
,
2
)
Question
5
5.
Which of the following are true?
a)
An obtuse angled triangle has zero lines of symmetry.
b)
Line of symmetry is perpendicular to axis of symmetry.
c)
A figure can be broken into two congruent shapes about its axis of symmetry.
d)
Axis of symmetry of a figure need not intersect with the figure at any point.
e)
A line segment has one line of symmetry.
f)
Line of symmetry and axis of symmetry are same.
g)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
h)
A figure can have multiple axes of symmetry.
(i)
{b,f}
(ii)
{c,f,g,h}
(iii)
{a,c}
(iv)
{a,h,c}
(v)
{d,e,g}
Question
6
6.
Find the new position of point
(
3
,
(
−
6
)
)
when rotated through
90°
clockwise about the origin
(i)
(
6
,
3
)
(ii)
(
(
−
6
)
,
3
)
(iii)
(
(
−
3
)
,
(
−
6
)
)
(iv)
(
6
,
(
−
3
)
)
(v)
(
(
−
6
)
,
(
−
3
)
)
Question
7
7.
Write down the coordinates when reflected in the origin
(i)
(
(
−
3
)
,
(
−
2
)
)
,
(
6
,
5
)
,
(
9
,
3
)
,
(
0
,
6
)
(ii)
(
(
−
1
)
,
0
)
,
(
6
,
5
)
,
(
9
,
3
)
,
(
0
,
6
)
(iii)
(
(
−
3
)
,
(
−
2
)
)
,
(
6
,
5
)
,
(
9
,
3
)
,
(
(
−
1
)
,
7
)
(iv)
(
(
−
3
)
,
(
−
2
)
)
,
(
6
,
5
)
,
(
10
,
2
)
,
(
0
,
6
)
(v)
(
(
−
3
)
,
(
−
2
)
)
,
(
6
,
5
)
,
(
7
,
1
)
,
(
0
,
6
)
Question
8
8.
Which of the following are line(s) of symmetry for the given parallelogram?
(i)
f
(ii)
{ e, f, g, h }
(iii)
none
(iv)
h
(v)
e
Question
9
9.
Find the image of the triangle formed by
(
1
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
and
(
(
−
2
)
,
(
−
6
)
)
when rotated about the origin by
90°
(i)
(
2
,
1
)
,
(
1
,
5
)
,
(
6
,
(
−
2
)
)
(ii)
(
2
,
1
)
,
(
1
,
5
)
,
(
4
,
(
−
4
)
)
(iii)
(
1
,
2
)
,
(
1
,
5
)
,
(
6
,
(
−
2
)
)
(iv)
(
2
,
1
)
,
(
1
,
5
)
,
(
7
,
(
−
3
)
)
(v)
(
2
,
1
)
,
(
3
,
7
)
,
(
6
,
(
−
2
)
)
Question
10
10.
A median is an axis of symmetry in which of the given figures?
a)
right angle triangle
b)
isosceles right angled triangle
c)
equilateral triangle
d)
isosceles triangle
e)
scalene triangle
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{e,c}
(iv)
{b,c,d}
(v)
{a,e,d}
Question
11
11.
Which of the following points is invariant under reflection in x-axis
(i)
(
(
−
1
)
,
9
)
(ii)
(
3
,
0
)
(iii)
(
7
,
(
−
9
)
)
(iv)
(
(
−
3
)
,
(
−
1
)
)
(v)
(
6
,
8
)
Question
12
12.
Write down the coordinates when reflected in the x-axis
(i)
(
8
,
(
−
3
)
)
,
(
5
,
4
)
,
(
6
,
(
−
3
)
)
(ii)
(
8
,
(
−
3
)
)
,
(
5
,
4
)
,
(
4
,
(
−
5
)
)
(iii)
(
8
,
(
−
3
)
)
,
(
5
,
4
)
,
(
7
,
(
−
4
)
)
(iv)
(
7
,
(
−
2
)
)
,
(
5
,
4
)
,
(
6
,
(
−
3
)
)
(v)
(
8
,
(
−
3
)
)
,
(
7
,
6
)
,
(
6
,
(
−
3
)
)
Question
13
13.
Write down the coordinates when reflected in the origin
(
9
,
8
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
2
)
,
2
)
(i)
(
(
−
9
)
,
(
−
8
)
)
,
(
9
,
2
)
,
(
0
,
(
−
4
)
)
(ii)
(
(
−
10
)
,
(
−
7
)
)
,
(
9
,
2
)
,
(
2
,
(
−
2
)
)
(iii)
(
(
−
9
)
,
(
−
8
)
)
,
(
11
,
4
)
,
(
2
,
(
−
2
)
)
(iv)
(
(
−
9
)
,
(
−
8
)
)
,
(
9
,
2
)
,
(
2
,
(
−
2
)
)
(v)
(
(
−
9
)
,
(
−
8
)
)
,
(
9
,
2
)
,
(
3
,
(
−
3
)
)
Question
14
14.
Identify the line(s) of symmetry in the following figure
(i)
p
(ii)
none
(iii)
{ p, q, r }
(iv)
q
(v)
r
Question
15
15.
The English alphabet letter 'I' has how many lines of symmetry?
(i)
one
(ii)
two
(iii)
three
(iv)
infinite
(v)
zero
Question
16
16.
The English alphabet letter 'O' has how many lines of symmetry?
(i)
zero
(ii)
infinite
(iii)
three
(iv)
two
(v)
one
Question
17
17.
Given figure has how many lines of symmetry?
(i)
6
(ii)
4
(iii)
5
(iv)
2
(v)
7
Question
18
18.
Which of the following English alphabet letters has rotational symmetry?
(i)
H
(ii)
A
(iii)
C
(iv)
B
(v)
G
Question
19
19.
A figure possesses point symmetry if it regain its shape after rotating
(i)
90°
(ii)
360°
(iii)
270°
(iv)
180°
Question
20
20.
Write down the coordinates when reflected in the y-axis
(i)
(
(
−
8
)
,
(
−
6
)
)
,
(
2
,
(
−
7
)
)
,
(
5
,
(
−
9
)
)
(ii)
(
(
−
7
)
,
(
−
7
)
)
,
(
4
,
(
−
5
)
)
,
(
5
,
(
−
9
)
)
(iii)
(
(
−
7
)
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
,
(
6
,
(
−
10
)
)
(iv)
(
(
−
7
)
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
,
(
5
,
(
−
9
)
)
(v)
(
(
−
7
)
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
,
(
3
,
(
−
11
)
)
Question
21
21.
Write down the coordinates when reflected in the origin
(
(
−
3
)
,
(
−
7
)
)
,
(
8
,
(
−
5
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
4
)
(i)
(
3
,
7
)
,
(
(
−
8
)
,
5
)
,
(
2
,
2
)
,
(
1
,
(
−
4
)
)
(ii)
(
3
,
7
)
,
(
(
−
8
)
,
5
)
,
(
2
,
2
)
,
(
0
,
(
−
3
)
)
(iii)
(
3
,
7
)
,
(
(
−
8
)
,
5
)
,
(
3
,
1
)
,
(
1
,
(
−
4
)
)
(iv)
(
5
,
9
)
,
(
(
−
8
)
,
5
)
,
(
2
,
2
)
,
(
1
,
(
−
4
)
)
(v)
(
3
,
7
)
,
(
(
−
8
)
,
5
)
,
(
0
,
0
)
,
(
1
,
(
−
4
)
)
Question
22
22.
Identify the line(s) of symmetry in the following figure
(i)
q
(ii)
{ p, q, r }
(iii)
p
(iv)
r
(v)
none
Question
23
23.
Which of the following figures have infinite lines of symmetry?
a)
n-sided polygon where n is very large
b)
sector of a circle
c)
circle
d)
line segment
e)
semicircle
(i)
{d,e,c}
(ii)
{b,c}
(iii)
{c}
(iv)
{a,c}
Question
24
24.
Find the image of the triangle formed by
(
6
,
7
)
,
(
(
−
1
)
,
(
−
7
)
)
and
(
0
,
(
−
6
)
)
when rotated about the origin by
270°
(i)
(
7
,
(
−
6
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
5
)
,
(
−
1
)
)
(ii)
(
6
,
(
−
5
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
6
)
,
0
)
(iii)
(
7
,
(
−
6
)
)
,
(
(
−
5
)
,
3
)
,
(
(
−
6
)
,
0
)
(iv)
(
7
,
(
−
6
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
6
)
,
0
)
(v)
(
7
,
(
−
6
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
8
)
,
(
−
2
)
)
Question
25
25.
Which of the following figures neither have line symmetry nor point symmetry nor rotational symmetry?
a)
angle with equal arms
b)
scalene triangle
c)
line segment
d)
isosceles triangle
e)
equilateral triangle
(i)
{a,b}
(ii)
{b}
(iii)
{c,b}
(iv)
{d,e,b}
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (ii)
5) (ii)
6) (v)
7) (i)
8) (iii)
9) (i)
10) (iv)
11) (ii)
12) (i)
13) (iv)
14) (ii)
15) (ii)
16) (ii)
17) (iii)
18) (i)
19) (iv)
20) (iv)
21) (i)
22) (v)
23) (iii)
24) (iv)
25) (ii)
