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

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