EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    none
  • (iii)
    q
  • (iv)
    { p, q, r }
  • (v)
    r
Question 2
2.
Which of the following figures have one line of symmetry?
a)
angle with equal arms
b)
isosceles triangle
c)
right angled triangle
d)
line segment
e)
scalene triangle
f)
isosceles right angled triangle
g)
angle with unequal arms
h)
equilateral triangle
  • (i)
    {a,b,f}
  • (ii)
    {c,a}
  • (iii)
    {e,g,f}
  • (iv)
    {d,b}
  • (v)
    {h,a,b}
Question 3
3.
The English alphabet letter 'H' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    infinite
  • (iii)
    two
  • (iv)
    three
  • (v)
    zero
Question 4
4.
Which of the following English alphabet letters have infinite lines of symmetry?
  • (i)
    V
  • (ii)
    O
  • (iii)
    E
  • (iv)
    I
  • (v)
    X
Question 5
5.
Which of the following quadrilaterals have zero lines of symmetry?
a)
square
b)
trapezium
c)
rhombus
d)
kite
e)
rectangle
f)
parallelogram
g)
isosceles trapezium
  • (i)
    {d,e,b}
  • (ii)
    {b,f}
  • (iii)
    {a,b}
  • (iv)
    {c,f}
  • (v)
    {g,f,b}
Question 6
6.
Which of the following quadrilaterals have three lines of symmetry?
a)
none
b)
rhombus
c)
parallelogram
d)
isosceles trapezium
e)
square
f)
trapezium
g)
rectangle
  • (i)
    {f,a}
  • (ii)
    {b,a}
  • (iii)
    {c,a}
  • (iv)
    {a}
  • (v)
    {d,e,a}
Question 7
7.
Which of the following are line(s) of symmetry for the given rectangle?
  • (i)
    g
  • (ii)
    none
  • (iii)
    { e, g }
  • (iv)
    { f, h }
  • (v)
    { e, f, g, h }
Question 8
8.
Which of the following English alphabet letters have one line of symmetry?
  • (i)
    L
  • (ii)
    H
  • (iii)
    B
  • (iv)
    X
  • (v)
    R
Question 9
9.
The English alphabet letter 'C' has how many lines of symmetry?
  • (i)
    three
  • (ii)
    one
  • (iii)
    zero
  • (iv)
    infinite
  • (v)
    two
Question 10
10.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    r
  • (iii)
    { p, q, r }
  • (iv)
    none
  • (v)
    q
Question 11
11.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    { p, q, r }
  • (iii)
    none
  • (iv)
    p
  • (v)
    r
Question 12
12.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    none
  • (iii)
    { p, q, r }
  • (iv)
    p
  • (v)
    r
Question 13
13.
Which of the following are true?
a)
If a triangle has two lines of symmetry, then it is a regular polygon.
b)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
c)
A regular polygon of n sides will have n lines of symmetry.
d)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
e)
Line of symmetry divides the polygon into two identical shapes.
f)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
g)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
  • (i)
    {g,a,e}
  • (ii)
    {c,d,e,f}
  • (iii)
    {b,d}
  • (iv)
    {a,c}
  • (v)
    {b,f,c}
Question 14
14.
Which of the following are true?
a)
Line of symmetry and axis of symmetry are same.
b)
A line segment has one line 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)
Line of symmetry is perpendicular to 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)
A figure can have multiple axes of symmetry.
  • (i)
    {b,a}
  • (ii)
    {a,c,f,h}
  • (iii)
    {b,h,a}
  • (iv)
    {d,c}
  • (v)
    {e,g,f}
Question 15
15.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    zero
  • (ii)
    two
  • (iii)
    infinite
  • (iv)
    one
  • (v)
    three
Question 16
16.
Given figure has how many lines of symmetry?
  • (i)
    3
  • (ii)
    6
  • (iii)
    5
  • (iv)
    8
  • (v)
    4
Question 17
17.
Which of the following figures have three lines of symmetry?
a)
isosceles right angled triangle
b)
line segment
c)
right angle triangle
d)
scalene triangle
e)
equilateral triangle
f)
isosceles triangle
  • (i)
    {f,e}
  • (ii)
    {c,d,e}
  • (iii)
    {a,e}
  • (iv)
    {e}
  • (v)
    {b,e}
Question 18
18.
Which of the following English alphabet letters have two lines of symmetry?
  • (i)
    K
  • (ii)
    F
  • (iii)
    B
  • (iv)
    S
  • (v)
    I
Question 19
19.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • (i)
    h
  • (ii)
    { e, f, g, h }
  • (iii)
    none
  • (iv)
    g
  • (v)
    e
Question 20
20.
Which of the following are line(s) of symmetry for the given square?
  • (i)
    g
  • (ii)
    e
  • (iii)
    none
  • (iv)
    { e, f, g, h }
  • (v)
    { e, g }
Question 21
21.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    f
  • (ii)
    h
  • (iii)
    g
  • (iv)
    { f, h }
  • (v)
    none
Question 22
22.
Which of the following figures have two lines of symmetry?
a)
square
b)
line segment
c)
isosceles trapezium
d)
isosceles triangle
e)
angle with equal arms
f)
scalene triangle
g)
kite
h)
rectangle
  • (i)
    {b,h}
  • (ii)
    {f,h,b}
  • (iii)
    {d,e,b}
  • (iv)
    {a,b}
  • (v)
    {c,h}
Question 23
23.
Which of the following English alphabet letters have zero lines of symmetry?
  • (i)
    H
  • (ii)
    D
  • (iii)
    Y
  • (iv)
    L
  • (v)
    I
Question 24
24.
Which of the following quadrilaterals have four lines of symmetry?
a)
rectangle
b)
isosceles trapezium
c)
rhombus
d)
parallelogram
e)
square
f)
trapezium
g)
kite
  • (i)
    {e}
  • (ii)
    {b,e}
  • (iii)
    {a,e}
  • (iv)
    {f,e}
  • (v)
    {c,d,e}
Question 25
25.
Which of the following quadrilaterals have two lines of symmetry?
a)
kite
b)
rhombus
c)
square
d)
parallelogram
e)
rectangle
f)
isosceles trapezium
g)
trapezium
  • (i)
    {g,e,b}
  • (ii)
    {a,b}
  • (iii)
    {d,f,b}
  • (iv)
    {c,e}
  • (v)
    {b,e}
    Assignment Key

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