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)
    q
  • (iii)
    none
  • (iv)
    r
  • (v)
    { p, q, r }
Question 2
2.
Which of the following figures have three lines of symmetry?
a)
equilateral triangle
b)
scalene triangle
c)
right angle triangle
d)
isosceles triangle
e)
isosceles right angled triangle
f)
line segment
  • (i)
    {b,a}
  • (ii)
    {f,a}
  • (iii)
    {c,a}
  • (iv)
    {d,e,a}
  • (v)
    {a}
Question 3
3.
Which of the following are line(s) of symmetry for the given kite?
  • (i)
    none
  • (ii)
    g
  • (iii)
    { e, g }
  • (iv)
    h
  • (v)
    e
Question 4
4.
Which of the following quadrilaterals have four lines of symmetry?
a)
isosceles trapezium
b)
rhombus
c)
kite
d)
rectangle
e)
parallelogram
f)
square
g)
trapezium
  • (i)
    {b,f}
  • (ii)
    {c,d,f}
  • (iii)
    {f}
  • (iv)
    {e,f}
  • (v)
    {a,f}
Question 5
5.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    h
  • (ii)
    e
  • (iii)
    f
  • (iv)
    { e, g }
  • (v)
    none
Question 6
6.
Which of the following quadrilaterals have zero lines of symmetry?
a)
rectangle
b)
parallelogram
c)
rhombus
d)
square
e)
kite
f)
trapezium
g)
isosceles trapezium
  • (i)
    {b,f}
  • (ii)
    {c,f}
  • (iii)
    {a,b}
  • (iv)
    {d,e,b}
  • (v)
    {g,f,b}
Question 7
7.
The English alphabet letter 'A' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    zero
  • (iii)
    infinite
  • (iv)
    three
  • (v)
    two
Question 8
8.
The English alphabet letter 'X' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    zero
  • (iii)
    infinite
  • (iv)
    two
  • (v)
    three
Question 9
9.
Which of the following are line(s) of symmetry for the given rectangle?
  • (i)
    h
  • (ii)
    { e, g }
  • (iii)
    { e, f, g, h }
  • (iv)
    f
  • (v)
    g
Question 10
10.
Which of the following figures have one line of symmetry?
a)
isosceles right angled triangle
b)
angle with equal arms
c)
scalene triangle
d)
line segment
e)
isosceles triangle
f)
angle with unequal arms
g)
right angled triangle
h)
equilateral triangle
  • (i)
    {a,b,e}
  • (ii)
    {d,b}
  • (iii)
    {f,g,e}
  • (iv)
    {h,a,b}
  • (v)
    {c,a}
Question 11
11.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    p
  • (iii)
    none
  • (iv)
    r
  • (v)
    { p, q, r }
Question 12
12.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    two
  • (iii)
    infinite
  • (iv)
    zero
  • (v)
    three
Question 13
13.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    r
  • (iii)
    p
  • (iv)
    { p, q, r }
  • (v)
    q
Question 14
14.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    q
  • (iii)
    { p, q, r }
  • (iv)
    r
  • (v)
    p
Question 15
15.
A median is an axis of symmetry in which of the given figures?
a)
scalene triangle
b)
equilateral triangle
c)
isosceles right angled triangle
d)
isosceles triangle
e)
right angle triangle
  • (i)
    {b,c,d}
  • (ii)
    {e,c}
  • (iii)
    {a,b}
  • (iv)
    {a,e,d}
  • (v)
    {a,b,c}
Question 16
16.
Which of the following are true?
a)
Lines of symmetry of a regular polygon are nothing but the diagonals of 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 triangle has two lines of symmetry, then it is a regular polygon.
e)
If a quadrilateral has four 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)
    {c,e,f,g}
  • (ii)
    {d,a,f}
  • (iii)
    {b,g,c}
  • (iv)
    {b,e}
  • (v)
    {a,c}
Question 17
17.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    r
  • (iii)
    p
  • (iv)
    none
  • (v)
    { p, q, r }
Question 18
18.
Which of the following English alphabet letters have two lines of symmetry?
  • (i)
    F
  • (ii)
    Z
  • (iii)
    X
  • (iv)
    D
  • (v)
    B
Question 19
19.
Which of the following figures have infinite lines of symmetry?
a)
sector of a circle
b)
semicircle
c)
circle
d)
line segment
e)
n-sided polygon where n is very large
  • (i)
    {c}
  • (ii)
    {a,c}
  • (iii)
    {b,c}
  • (iv)
    {d,e,c}
Question 20
20.
Given figure has how many lines of symmetry?
  • (i)
    6
  • (ii)
    2
  • (iii)
    8
  • (iv)
    4
  • (v)
    5
Question 21
21.
Which of the following figures have no line of symmetry?
a)
isosceles triangle
b)
line segment
c)
scalene triangle
d)
equilateral triangle
e)
angle with unequal arms
f)
angle with equal arms
  • (i)
    {d,f,c}
  • (ii)
    {a,e,c}
  • (iii)
    {b,e}
  • (iv)
    {c,e}
  • (v)
    {a,c}
Question 22
22.
Identify the line(s) of symmetry in the following figure
  • (i)
    r
  • (ii)
    { p, q, r }
  • (iii)
    p
  • (iv)
    q
  • (v)
    none
Question 23
23.
Which of the following are line(s) of symmetry for the given rhombus?
  • (i)
    f
  • (ii)
    g
  • (iii)
    { f, h }
  • (iv)
    e
  • (v)
    h
Question 24
24.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    r
  • (iii)
    q
  • (iv)
    { p, q, r }
  • (v)
    p
Question 25
25.
Which of the following figures have two lines of symmetry?
a)
rectangle
b)
isosceles triangle
c)
scalene triangle
d)
angle with equal arms
e)
square
f)
kite
g)
line segment
h)
isosceles trapezium
  • (i)
    {a,g}
  • (ii)
    {c,g}
  • (iii)
    {b,a}
  • (iv)
    {f,g,a}
  • (v)
    {d,e,a}
    Assignment Key

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