EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Symmetry
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following figures have infinite lines of symmetry?
a)
line segment
b)
sector of a circle
c)
n-sided polygon where n is very large
d)
semicircle
e)
circle
  • (i)
    {c,d,e}
  • (ii)
    {b,e}
  • (iii)
    {e}
  • (iv)
    {a,e}
Question 2
2.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    p
  • (iii)
    r
  • (iv)
    none
  • (v)
    q
Question 3
3.
Identify the line(s) of symmetry in the following figure
  • (i)
    r
  • (ii)
    q
  • (iii)
    p
  • (iv)
    none
  • (v)
    { p, q, r }
Question 4
4.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • (i)
    { e, f, g, h }
  • (ii)
    none
  • (iii)
    { f, h }
  • (iv)
    e
  • (v)
    h
Question 5
5.
Which of the following figures have three lines of symmetry?
a)
isosceles triangle
b)
line segment
c)
equilateral triangle
d)
isosceles right angled triangle
e)
scalene triangle
f)
right angle triangle
  • (i)
    {a,c}
  • (ii)
    {b,c}
  • (iii)
    {c}
  • (iv)
    {d,e,c}
  • (v)
    {f,c}
Question 6
6.
Which of the following are line(s) of symmetry for the given parallelogram?
  • (i)
    { e, g }
  • (ii)
    { e, f, g, h }
  • (iii)
    { f, h }
  • (iv)
    g
  • (v)
    none
Question 7
7.
Which of the following are line(s) of symmetry for the given square?
  • (i)
    { f, h }
  • (ii)
    e
  • (iii)
    g
  • (iv)
    { e, g }
  • (v)
    { e, f, g, h }
Question 8
8.
Which of the following are line(s) of symmetry for the given kite?
  • (i)
    h
  • (ii)
    none
  • (iii)
    { e, g }
  • (iv)
    f
  • (v)
    g
Question 9
9.
Which of the following are true?
a)
A regular polygon of n sides will have n lines of symmetry.
b)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
c)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
d)
Line of symmetry divides the polygon into two identical shapes.
e)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
f)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
g)
If a triangle has two lines of symmetry, then it is a regular polygon.
  • (i)
    {e,f,a}
  • (ii)
    {g,c,d}
  • (iii)
    {c,a}
  • (iv)
    {e,b}
  • (v)
    {a,b,d,f}
Question 10
10.
Which of the following are line(s) of symmetry for the given rectangle?
  • (i)
    h
  • (ii)
    { f, h }
  • (iii)
    g
  • (iv)
    e
  • (v)
    { e, g }
Question 11
11.
The English alphabet letter 'H' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    three
  • (iii)
    one
  • (iv)
    infinite
  • (v)
    zero
Question 12
12.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    r
  • (iii)
    { p, q, r }
  • (iv)
    none
  • (v)
    q
Question 13
13.
Which of the following figures have no line of symmetry?
a)
line segment
b)
angle with unequal arms
c)
angle with equal arms
d)
isosceles triangle
e)
equilateral triangle
f)
scalene triangle
  • (i)
    {a,b}
  • (ii)
    {b,f}
  • (iii)
    {c,f}
  • (iv)
    {a,f,b}
  • (v)
    {d,e,b}
Question 14
14.
Which of the following quadrilaterals have one line of symmetry?
a)
rectangle
b)
parallelogram
c)
isosceles trapezium
d)
kite
e)
square
f)
rhombus
g)
trapezium
  • (i)
    {c,d}
  • (ii)
    {b,d}
  • (iii)
    {g,d,c}
  • (iv)
    {a,c}
  • (v)
    {e,f,c}
Question 15
15.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    r
  • (iii)
    p
  • (iv)
    q
  • (v)
    none
Question 16
16.
Which of the following figures have one line of symmetry?
a)
right angled triangle
b)
angle with equal arms
c)
isosceles triangle
d)
scalene triangle
e)
equilateral triangle
f)
line segment
g)
isosceles right angled triangle
h)
angle with unequal arms
  • (i)
    {a,b}
  • (ii)
    {h,b,c}
  • (iii)
    {b,c,g}
  • (iv)
    {d,c}
  • (v)
    {e,f,g}
Question 17
17.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    g
  • (ii)
    { e, g }
  • (iii)
    none
  • (iv)
    e
  • (v)
    f
Question 18
18.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    { p, q, r }
  • (iii)
    q
  • (iv)
    r
  • (v)
    p
Question 19
19.
Which of the following quadrilaterals have three lines of symmetry?
a)
none
b)
square
c)
rectangle
d)
isosceles trapezium
e)
trapezium
f)
rhombus
g)
parallelogram
  • (i)
    {a}
  • (ii)
    {f,a}
  • (iii)
    {d,e,a}
  • (iv)
    {b,a}
  • (v)
    {c,a}
Question 20
20.
Which of the following quadrilaterals have two lines of symmetry?
a)
isosceles trapezium
b)
parallelogram
c)
rectangle
d)
kite
e)
square
f)
rhombus
g)
trapezium
  • (i)
    {c,f}
  • (ii)
    {g,f,c}
  • (iii)
    {d,e,c}
  • (iv)
    {b,f}
  • (v)
    {a,c}
Question 21
21.
Which of the following English alphabet letters have one line of symmetry?
  • (i)
    E
  • (ii)
    G
  • (iii)
    I
  • (iv)
    L
  • (v)
    H
Question 22
22.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    { p, q, r }
  • (iii)
    r
  • (iv)
    none
  • (v)
    p
Question 23
23.
Given figure has how many lines of symmetry?
  • (i)
    2
  • (ii)
    4
  • (iii)
    5
  • (iv)
    6
  • (v)
    8
Question 24
24.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    three
  • (ii)
    one
  • (iii)
    two
  • (iv)
    zero
  • (v)
    infinite
Question 25
25.
Given figure has how many lines of symmetry?
  • (i)
    3
  • (ii)
    6
  • (iii)
    5
  • (iv)
    7
  • (v)
    8
    Assignment Key

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