EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Symmetry
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following English alphabet letters have one line of symmetry?
  • (i)
    B
  • (ii)
    H
  • (iii)
    I
  • (iv)
    P
  • (v)
    Q
Question 2
2.
The English alphabet letter 'X' has how many lines of symmetry?
  • (i)
    infinite
  • (ii)
    two
  • (iii)
    zero
  • (iv)
    three
  • (v)
    one
Question 3
3.
Which of the following English alphabet letters have infinite lines of symmetry?
  • (i)
    C
  • (ii)
    D
  • (iii)
    H
  • (iv)
    X
  • (v)
    O
Question 4
4.
Which of the following quadrilaterals have three lines of symmetry?
a)
rectangle
b)
isosceles trapezium
c)
parallelogram
d)
square
e)
rhombus
f)
none
g)
trapezium
  • (i)
    {c,d,f}
  • (ii)
    {b,f}
  • (iii)
    {f}
  • (iv)
    {a,f}
  • (v)
    {e,f}
Question 5
5.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    p
  • (iii)
    r
  • (iv)
    none
  • (v)
    { p, q, r }
Question 6
6.
A median is an axis of symmetry in which of the given figures?
a)
equilateral triangle
b)
right angle triangle
c)
scalene triangle
d)
isosceles triangle
e)
isosceles right angled triangle
  • (i)
    {b,a}
  • (ii)
    {b,c,e}
  • (iii)
    {a,d,e}
  • (iv)
    {c,d}
  • (v)
    {b,a,d}
Question 7
7.
Which of the following figures have one line of symmetry?
a)
isosceles right angled triangle
b)
angle with equal arms
c)
line segment
d)
isosceles triangle
e)
equilateral triangle
f)
scalene triangle
g)
angle with unequal arms
h)
right angled triangle
  • (i)
    {f,g,d}
  • (ii)
    {h,a,b}
  • (iii)
    {a,b,d}
  • (iv)
    {e,b}
  • (v)
    {c,a}
Question 8
8.
Which of the following are line(s) of symmetry for the given kite?
  • (i)
    f
  • (ii)
    none
  • (iii)
    h
  • (iv)
    { e, f, g, h }
  • (v)
    g
Question 9
9.
The English alphabet letter 'B' has how many lines of symmetry?
  • (i)
    zero
  • (ii)
    one
  • (iii)
    three
  • (iv)
    two
  • (v)
    infinite
Question 10
10.
Which of the following quadrilaterals have zero lines of symmetry?
a)
isosceles trapezium
b)
parallelogram
c)
rectangle
d)
square
e)
kite
f)
trapezium
g)
rhombus
  • (i)
    {g,f,b}
  • (ii)
    {d,e,b}
  • (iii)
    {b,f}
  • (iv)
    {c,f}
  • (v)
    {a,b}
Question 11
11.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    r
  • (iii)
    none
  • (iv)
    p
  • (v)
    q
Question 12
12.
Which of the following quadrilaterals have one line of symmetry?
a)
rectangle
b)
kite
c)
square
d)
rhombus
e)
parallelogram
f)
trapezium
g)
isosceles trapezium
  • (i)
    {c,g}
  • (ii)
    {d,e,b}
  • (iii)
    {a,b}
  • (iv)
    {f,g,b}
  • (v)
    {b,g}
Question 13
13.
Which of the following are true?
a)
A line segment has one line of symmetry.
b)
Line of symmetry is perpendicular to axis of symmetry.
c)
Line of symmetry and axis of symmetry are same.
d)
A figure can have multiple axes of symmetry.
e)
A figure can be broken into two congruent shapes about its axis of symmetry.
f)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
g)
An obtuse angled triangle has zero lines of symmetry.
h)
Axis of symmetry of a figure need not intersect with the figure at any point.
  • (i)
    {a,f,c}
  • (ii)
    {g,h,e}
  • (iii)
    {b,d}
  • (iv)
    {c,d,e,f}
  • (v)
    {a,c}
Question 14
14.
Which of the following quadrilaterals have two lines of symmetry?
a)
trapezium
b)
isosceles trapezium
c)
parallelogram
d)
rectangle
e)
square
f)
rhombus
g)
kite
  • (i)
    {d,f}
  • (ii)
    {c,e,d}
  • (iii)
    {g,f,d}
  • (iv)
    {b,f}
  • (v)
    {a,d}
Question 15
15.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    infinite
  • (iii)
    zero
  • (iv)
    one
  • (v)
    three
Question 16
16.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    g
  • (ii)
    e
  • (iii)
    { e, g }
  • (iv)
    none
  • (v)
    { f, h }
Question 17
17.
Which of the following are line(s) of symmetry for the given parallelogram?
  • (i)
    { e, f, g, h }
  • (ii)
    none
  • (iii)
    f
  • (iv)
    e
  • (v)
    { f, h }
Question 18
18.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    { p, q, r }
  • (iii)
    p
  • (iv)
    r
  • (v)
    q
Question 19
19.
Given figure has how many lines of symmetry?
  • (i)
    3
  • (ii)
    5
  • (iii)
    8
  • (iv)
    6
  • (v)
    4
Question 20
20.
Given figure has how many lines of symmetry?
  • (i)
    5
  • (ii)
    4
  • (iii)
    7
  • (iv)
    6
  • (v)
    8
Question 21
21.
Which of the following are true?
a)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
b)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
c)
If a triangle has two lines of symmetry, then it is a regular polygon.
d)
Line of symmetry divides the polygon into two identical shapes.
e)
A regular polygon of n sides will have n lines of symmetry.
f)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
g)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
  • (i)
    {c,f,b}
  • (ii)
    {b,d,e,f}
  • (iii)
    {c,d}
  • (iv)
    {g,a,e}
  • (v)
    {a,b}
Question 22
22.
Which of the following figures have no line of symmetry?
a)
isosceles triangle
b)
angle with equal arms
c)
line segment
d)
equilateral triangle
e)
scalene triangle
f)
angle with unequal arms
  • (i)
    {b,f}
  • (ii)
    {a,f,e}
  • (iii)
    {a,e}
  • (iv)
    {e,f}
  • (v)
    {c,d,e}
Question 23
23.
The English alphabet letter 'R' has how many lines of symmetry?
  • (i)
    three
  • (ii)
    infinite
  • (iii)
    zero
  • (iv)
    one
  • (v)
    two
Question 24
24.
Which of the following English alphabet letters have zero lines of symmetry?
  • (i)
    X
  • (ii)
    K
  • (iii)
    H
  • (iv)
    T
  • (v)
    F
Question 25
25.
Identify the line(s) of symmetry in the following figure
  • (i)
    r
  • (ii)
    { p, q, r }
  • (iii)
    none
  • (iv)
    p
  • (v)
    q
    Assignment Key

  •  1) (i)
  •  2) (ii)
  •  3) (v)
  •  4) (iii)
  •  5) (iv)
  •  6) (iii)
  •  7) (iii)
  •  8) (iii)
  •  9) (ii)
  •  10) (iii)
  •  11) (iii)
  •  12) (v)
  •  13) (iv)
  •  14) (i)
  •  15) (ii)
  •  16) (iv)
  •  17) (ii)
  •  18) (i)
  •  19) (ii)
  •  20) (iv)
  •  21) (ii)
  •  22) (iv)
  •  23) (iii)
  •  24) (v)
  •  25) (iv)