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)
    q
  • (ii)
    r
  • (iii)
    { p, q, r }
  • (iv)
    none
  • (v)
    p
Question 2
2.
Identify the line(s) of symmetry in the following figure
  • (i)
    p
  • (ii)
    q
  • (iii)
    { p, q, r }
  • (iv)
    r
  • (v)
    none
Question 3
3.
The English alphabet letter 'B' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    infinite
  • (iii)
    one
  • (iv)
    zero
  • (v)
    three
Question 4
4.
The English alphabet letter 'O' has how many lines of symmetry?
  • (i)
    two
  • (ii)
    infinite
  • (iii)
    zero
  • (iv)
    three
  • (v)
    one
Question 5
5.
Which of the following figures have two lines of symmetry?
a)
rectangle
b)
kite
c)
angle with equal arms
d)
isosceles triangle
e)
square
f)
isosceles trapezium
g)
line segment
h)
scalene triangle
  • (i)
    {b,a}
  • (ii)
    {f,g,a}
  • (iii)
    {c,g}
  • (iv)
    {a,g}
  • (v)
    {d,e,a}
Question 6
6.
Identify the line(s) of symmetry in the following figure
  • (i)
    { p, q, r }
  • (ii)
    r
  • (iii)
    q
  • (iv)
    p
  • (v)
    none
Question 7
7.
Which of the following are line(s) of symmetry for the given trapezium?
  • (i)
    e
  • (ii)
    { e, g }
  • (iii)
    g
  • (iv)
    none
  • (v)
    { e, f, g, h }
Question 8
8.
Identify the line(s) of symmetry in the following figure
  • (i)
    none
  • (ii)
    q
  • (iii)
    p
  • (iv)
    r
  • (v)
    { p, q, r }
Question 9
9.
Which of the following figures have three lines of symmetry?
a)
equilateral triangle
b)
isosceles triangle
c)
right angle triangle
d)
isosceles right angled triangle
e)
scalene triangle
f)
line segment
  • (i)
    {c,a}
  • (ii)
    {b,a}
  • (iii)
    {a}
  • (iv)
    {d,e,a}
  • (v)
    {f,a}
Question 10
10.
Which of the following are true?
a)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
b)
A regular polygon of n sides will have n lines of symmetry.
c)
If a triangle has two lines of symmetry, then it is a regular polygon.
d)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
e)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
f)
Line of symmetry divides the polygon into two identical shapes.
g)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
  • (i)
    {c,d}
  • (ii)
    {g,a,e}
  • (iii)
    {a,b}
  • (iv)
    {b,d,e,f}
  • (v)
    {c,f,b}
Question 11
11.
Which of the following English alphabet letters have two lines of symmetry?
  • (i)
    T
  • (ii)
    L
  • (iii)
    D
  • (iv)
    J
  • (v)
    I
Question 12
12.
Identify the line(s) of symmetry in the following figure
  • (i)
    r
  • (ii)
    none
  • (iii)
    { p, q, r }
  • (iv)
    q
  • (v)
    p
Question 13
13.
Which of the following are line(s) of symmetry for the given square?
  • (i)
    none
  • (ii)
    f
  • (iii)
    { e, f, g, h }
  • (iv)
    { f, h }
  • (v)
    g
Question 14
14.
Which of the following are line(s) of symmetry for the given parallelogram?
  • (i)
    h
  • (ii)
    { e, g }
  • (iii)
    f
  • (iv)
    e
  • (v)
    none
Question 15
15.
Given figure has how many lines of symmetry?
  • (i)
    7
  • (ii)
    9
  • (iii)
    5
  • (iv)
    3
  • (v)
    6
Question 16
16.
Which of the following quadrilaterals have three lines of symmetry?
a)
rectangle
b)
none
c)
parallelogram
d)
isosceles trapezium
e)
square
f)
rhombus
g)
trapezium
  • (i)
    {f,b}
  • (ii)
    {c,b}
  • (iii)
    {b}
  • (iv)
    {a,b}
  • (v)
    {d,e,b}
Question 17
17.
Which of the following quadrilaterals have four lines of symmetry?
a)
rhombus
b)
parallelogram
c)
trapezium
d)
isosceles trapezium
e)
kite
f)
rectangle
g)
square
  • (i)
    {c,d,g}
  • (ii)
    {b,g}
  • (iii)
    {a,g}
  • (iv)
    {g}
  • (v)
    {e,g}
Question 18
18.
Identify the line(s) of symmetry in the following figure
  • (i)
    q
  • (ii)
    { p, q, r }
  • (iii)
    none
  • (iv)
    p
  • (v)
    r
Question 19
19.
The English alphabet letter 'X' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    zero
  • (iii)
    three
  • (iv)
    two
  • (v)
    infinite
Question 20
20.
Which of the following English alphabet letters have zero lines of symmetry?
  • (i)
    G
  • (ii)
    U
  • (iii)
    I
  • (iv)
    H
  • (v)
    M
Question 21
21.
The English alphabet letter 'G' has how many lines of symmetry?
  • (i)
    one
  • (ii)
    zero
  • (iii)
    three
  • (iv)
    infinite
  • (v)
    two
Question 22
22.
Which of the following are true?
a)
A figure can have multiple axes of symmetry.
b)
An obtuse angled triangle has zero lines of symmetry.
c)
Line of symmetry is perpendicular to axis of symmetry.
d)
A line segment has one line of symmetry.
e)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
f)
A figure can be broken into two congruent shapes about its axis of symmetry.
g)
Axis of symmetry of a figure need not intersect with the figure at any point.
h)
Line of symmetry and axis of symmetry are same.
  • (i)
    {c,e}
  • (ii)
    {b,h,a}
  • (iii)
    {a,e,f,h}
  • (iv)
    {d,g,f}
  • (v)
    {b,a}
Question 23
23.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • (i)
    e
  • (ii)
    { e, g }
  • (iii)
    g
  • (iv)
    none
  • (v)
    { f, h }
Question 24
24.
Which of the following quadrilaterals have two lines of symmetry?
a)
parallelogram
b)
rectangle
c)
square
d)
rhombus
e)
isosceles trapezium
f)
kite
g)
trapezium
  • (i)
    {g,d,b}
  • (ii)
    {e,f,b}
  • (iii)
    {a,b}
  • (iv)
    {c,d}
  • (v)
    {b,d}
Question 25
25.
Which of the following figures have one line of symmetry?
a)
line segment
b)
isosceles right angled triangle
c)
right angled triangle
d)
scalene triangle
e)
isosceles triangle
f)
angle with equal arms
g)
angle with unequal arms
h)
equilateral triangle
  • (i)
    {d,g,f}
  • (ii)
    {h,b,e}
  • (iii)
    {a,b}
  • (iv)
    {b,e,f}
  • (v)
    {c,e}
    Assignment Key

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