EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Symmetry
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
The English alphabet letter 'I' has how many lines of symmetry?
  • (i)
    three
  • (ii)
    one
  • (iii)
    infinite
  • (iv)
    two
  • (v)
    zero
Question 2
2.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    q
  • (iii)
    { p, q, r }
  • (iv)
    r
  • (v)
    none
Question 3
3.
Which of the following English alphabet letters have zero lines of symmetry?
  • (i)
    Z
  • (ii)
    M
  • (iii)
    I
  • (iv)
    X
  • (v)
    Y
Question 4
4.
Which of the following quadrilaterals have one line of symmetry?
a)
rhombus
b)
parallelogram
c)
kite
d)
rectangle
e)
trapezium
f)
square
g)
isosceles trapezium
  • (i)
    {d,e,c}
  • (ii)
    {f,g,c}
  • (iii)
    {c,g}
  • (iv)
    {a,c}
  • (v)
    {b,g}
Question 5
5.
Which of the following are line(s) of symmetry for the given rhombus?
  • (i)
    { f, h }
  • (ii)
    none
  • (iii)
    h
  • (iv)
    { e, g }
  • (v)
    f
Question 6
6.
Which of the following quadrilaterals have zero lines of symmetry?
a)
rectangle
b)
trapezium
c)
parallelogram
d)
kite
e)
square
f)
isosceles trapezium
g)
rhombus
  • (i)
    {e,f,b}
  • (ii)
    {b,c}
  • (iii)
    {g,c,b}
  • (iv)
    {a,b}
  • (v)
    {d,c}
Question 7
7.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • (i)
    g
  • (ii)
    f
  • (iii)
    none
  • (iv)
    { f, h }
  • (v)
    e
Question 8
8.
Which of the following are line(s) of symmetry for the given square?
  • (i)
    h
  • (ii)
    f
  • (iii)
    g
  • (iv)
    e
  • (v)
    { e, f, g, h }
Question 9
9.
Which of the following quadrilaterals have three lines of symmetry?
a)
trapezium
b)
none
c)
rhombus
d)
rectangle
e)
isosceles trapezium
f)
parallelogram
g)
square
  • (i)
    {a,b}
  • (ii)
    {d,e,b}
  • (iii)
    {c,b}
  • (iv)
    {f,b}
  • (v)
    {b}
Question 10
10.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    infinite
  • (iii)
    one
  • (iv)
    three
  • (v)
    zero
Question 11
11.
Which of the following are line(s) of symmetry for the given rectangle?
  • (i)
    h
  • (ii)
    none
  • (iii)
    g
  • (iv)
    { f, h }
  • (v)
    { e, g }
Question 12
12.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    q
  • (iii)
    r
  • (iv)
    p
  • (v)
    { p, q, r }
Question 13
13.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    none
  • (iii)
    r
  • (iv)
    q
  • (v)
    p
Question 14
14.
Which of the following are line(s) of symmetry for the given parallelogram?
  • (i)
    f
  • (ii)
    g
  • (iii)
    { f, h }
  • (iv)
    none
  • (v)
    h
Question 15
15.
Which of the following are true?
a)
A figure can be broken into two congruent shapes about its axis of symmetry.
b)
Axis of symmetry of a figure need not intersect with the figure at any point.
c)
A figure can have multiple axes of symmetry.
d)
An obtuse angled triangle has zero lines of symmetry.
e)
Line of symmetry is perpendicular to axis of symmetry.
f)
A line segment has one line of symmetry.
g)
Line of symmetry and axis of symmetry are same.
h)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
  • (i)
    {b,h,a}
  • (ii)
    {a,c,g,h}
  • (iii)
    {e,f,g}
  • (iv)
    {b,a}
  • (v)
    {d,c}
Question 16
16.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    r
  • (iii)
    { p, q, r }
  • (iv)
    p
  • (v)
    q
Question 17
17.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    { e, f, g, h }
  • (ii)
    none
  • (iii)
    e
  • (iv)
    h
  • (v)
    { f, h }
Question 18
18.
Which of the following English alphabet letters have two lines of symmetry?
  • (i)
    T
  • (ii)
    X
  • (iii)
    N
  • (iv)
    Z
  • (v)
    A
Question 19
19.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    q
  • (iii)
    p
  • (iv)
    { p, q, r }
  • (v)
    r
Question 20
20.
Which of the following figures have two lines of symmetry?
a)
kite
b)
line segment
c)
angle with equal arms
d)
isosceles triangle
e)
square
f)
scalene triangle
g)
rectangle
h)
isosceles trapezium
  • (i)
    {c,g}
  • (ii)
    {a,b}
  • (iii)
    {b,g}
  • (iv)
    {f,g,b}
  • (v)
    {d,e,b}
Question 21
21.
Which of the following figures have no line of symmetry?
a)
scalene triangle
b)
equilateral triangle
c)
line segment
d)
isosceles triangle
e)
angle with unequal arms
f)
angle with equal arms
  • (i)
    {a,e}
  • (ii)
    {b,e,a}
  • (iii)
    {d,f,a}
  • (iv)
    {b,a}
  • (v)
    {c,e}
Question 22
22.
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)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
d)
A regular polygon of n sides will have n lines of symmetry.
e)
If a triangle has two lines of symmetry, then it is a regular polygon.
f)
Line of symmetry divides the polygon into two identical shapes.
g)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
  • (i)
    {e,a,f}
  • (ii)
    {c,d}
  • (iii)
    {b,d,f,g}
  • (iv)
    {c,g,b}
  • (v)
    {a,b}
Question 23
23.
Which of the following English alphabet letters have infinite lines of symmetry?
  • (i)
    X
  • (ii)
    D
  • (iii)
    O
  • (iv)
    H
  • (v)
    E
Question 24
24.
Which of the following are line(s) of symmetry for the given kite?
  • (i)
    e
  • (ii)
    { e, f, g, h }
  • (iii)
    h
  • (iv)
    none
  • (v)
    { e, g }
Question 25
25.
The English alphabet letter 'R' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    zero
  • (iii)
    three
  • (iv)
    one
  • (v)
    infinite
    Assignment Key

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