EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Symmetry
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
Which of the following quadrilaterals have zero lines of symmetry?
a)
parallelogram
b)
trapezium
c)
rhombus
d)
rectangle
e)
isosceles trapezium
f)
square
g)
kite
  • (i)
    {d,b}
  • (ii)
    {c,a}
  • (iii)
    {a,b}
  • (iv)
    {e,f,a}
  • (v)
    {g,b,a}
Question 2
2.
A median is an axis of symmetry in which of the given figures?
a)
scalene triangle
b)
isosceles triangle
c)
isosceles right angled triangle
d)
equilateral triangle
e)
right angle triangle
  • (i)
    {a,e,d}
  • (ii)
    {e,c}
  • (iii)
    {a,b}
  • (iv)
    {b,c,d}
  • (v)
    {a,b,c}
Question 3
3.
Given figure has how many lines of symmetry?
  • (i)
    4
  • (ii)
    6
  • (iii)
    8
  • (iv)
    3
  • (v)
    5
Question 4
4.
Which of the following quadrilaterals have two lines of symmetry?
a)
isosceles trapezium
b)
rhombus
c)
trapezium
d)
square
e)
rectangle
f)
kite
g)
parallelogram
  • (i)
    {g,e,b}
  • (ii)
    {a,b}
  • (iii)
    {b,e}
  • (iv)
    {d,f,b}
  • (v)
    {c,e}
Question 5
5.
Which of the following are line(s) of symmetry for the given square?
  • (i)
    { e, g }
  • (ii)
    none
  • (iii)
    { f, h }
  • (iv)
    { e, f, g, h }
  • (v)
    g
Question 6
6.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • (i)
    none
  • (ii)
    e
  • (iii)
    { e, f, g, h }
  • (iv)
    { f, h }
  • (v)
    { e, g }
Question 7
7.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    p
  • (iii)
    { p, q, r }
  • (iv)
    r
  • (v)
    q
Question 8
8.
Which of the following quadrilaterals have one line of symmetry?
a)
rectangle
b)
kite
c)
isosceles trapezium
d)
square
e)
trapezium
f)
rhombus
g)
parallelogram
  • (i)
    {b,c}
  • (ii)
    {e,f,b}
  • (iii)
    {d,c}
  • (iv)
    {a,b}
  • (v)
    {g,c,b}
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)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
e)
If a triangle has two lines of symmetry, then it is a regular polygon.
f)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
g)
Line of symmetry divides the polygon into two identical shapes.
  • (i)
    {e,g,a}
  • (ii)
    {f,c,d}
  • (iii)
    {e,b}
  • (iv)
    {c,a}
  • (v)
    {a,b,d,g}
Question 10
10.
Which of the following are line(s) of symmetry for the given parallelogram?
  • (i)
    none
  • (ii)
    g
  • (iii)
    { f, h }
  • (iv)
    { e, f, g, h }
  • (v)
    e
Question 11
11.
Which of the following figures have infinite lines of symmetry?
a)
line segment
b)
n-sided polygon where n is very large
c)
semicircle
d)
sector of a circle
e)
circle
  • (i)
    {c,d,e}
  • (ii)
    {e}
  • (iii)
    {a,e}
  • (iv)
    {b,e}
Question 12
12.
Which of the following English alphabet letters have one line of symmetry?
  • (i)
    I
  • (ii)
    A
  • (iii)
    F
  • (iv)
    L
  • (v)
    X
Question 13
13.
Identify the line(s) of symmetry in the following figure
  • (i)
    r
  • (ii)
    { p, q, r }
  • (iii)
    q
  • (iv)
    p
  • (v)
    none
Question 14
14.
The English alphabet letter 'C' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    three
  • (iii)
    zero
  • (iv)
    infinite
  • (v)
    one
Question 15
15.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    none
  • (iii)
    q
  • (iv)
    { p, q, r }
  • (v)
    r
Question 16
16.
Which of the following are line(s) of symmetry for the given rectangle?
  • (i)
    none
  • (ii)
    { e, f, g, h }
  • (iii)
    h
  • (iv)
    e
  • (v)
    { e, g }
Question 17
17.
The English alphabet letter 'H' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    zero
  • (iii)
    infinite
  • (iv)
    two
  • (v)
    three
Question 18
18.
Which of the following figures have two lines of symmetry?
a)
isosceles trapezium
b)
kite
c)
isosceles triangle
d)
line segment
e)
angle with equal arms
f)
rectangle
g)
square
h)
scalene triangle
  • (i)
    {g,f,d}
  • (ii)
    {b,f}
  • (iii)
    {d,f}
  • (iv)
    {c,e,d}
  • (v)
    {a,d}
Question 19
19.
Which of the following are line(s) of symmetry for the given kite?
  • (i)
    { e, g }
  • (ii)
    g
  • (iii)
    { e, f, g, h }
  • (iv)
    { f, h }
  • (v)
    h
Question 20
20.
Which of the following are line(s) of symmetry for the given rhombus?
  • (i)
    { e, f, g, h }
  • (ii)
    h
  • (iii)
    g
  • (iv)
    none
  • (v)
    { f, h }
Question 21
21.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    q
  • (iii)
    p
  • (iv)
    r
  • (v)
    none
Question 22
22.
Which of the following figures have one line of symmetry?
a)
angle with unequal arms
b)
isosceles right angled triangle
c)
line segment
d)
angle with equal arms
e)
equilateral triangle
f)
isosceles triangle
g)
right angled triangle
h)
scalene triangle
  • (i)
    {h,b,d}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {e,g,f}
  • (v)
    {b,d,f}
Question 23
23.
Which of the following quadrilaterals have three lines of symmetry?
a)
square
b)
isosceles trapezium
c)
rhombus
d)
none
e)
rectangle
f)
parallelogram
g)
trapezium
  • (i)
    {d}
  • (ii)
    {c,e,d}
  • (iii)
    {a,d}
  • (iv)
    {b,d}
  • (v)
    {f,d}
Question 24
24.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    { f, h }
  • (ii)
    g
  • (iii)
    { e, g }
  • (iv)
    { e, f, g, h }
  • (v)
    none
Question 25
25.
Given figure has how many lines of symmetry?
  • (i)
    9
  • (ii)
    5
  • (iii)
    6
  • (iv)
    4
  • (v)
    7
    Assignment Key

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