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

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