ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VI - Linear Symmetry
Question 1
1.
Which of the following figures have one line of symmetry?
a)
isosceles right angled triangle
b)
right angled triangle
c)
scalene triangle
d)
angle with unequal arms
e)
isosceles triangle
f)
line segment
g)
angle with equal arms
h)
equilateral triangle
  • {a,e,g}
  • {d,f,g}
  • {c,e}
  • {h,a,e}
  • {b,a}
Question 2
2.
Which of the following figures have two lines of symmetry?
a)
line segment
b)
isosceles triangle
c)
scalene triangle
d)
isosceles trapezium
e)
square
f)
rectangle
g)
kite
h)
angle with equal arms
  • {a,f}
  • {c,f}
  • {b,a}
  • {d,e,a}
  • {g,f,a}
Question 3
3.
Which of the following English alphabet letters have infinite lines of symmetry?
  • X
  • O
  • U
  • H
  • V
Question 4
4.
Which of the following are true?
a)
Axis of symmetry of a figure need not intersect with the figure at any point.
b)
A figure can be broken into two congruent shapes about its axis of symmetry.
c)
A line segment has one line of symmetry.
d)
Line of symmetry is perpendicular to axis of symmetry.
e)
Line of symmetry and axis of symmetry are same.
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)
A figure can have multiple axes of symmetry.
h)
An obtuse angled triangle has zero lines of symmetry.
  • {a,g,b}
  • {a,b}
  • {c,e}
  • {b,e,f,g}
  • {d,h,f}
Question 5
5.
Identify the line(s) of symmetry in the following figure
  • q
  • r
  • none
  • { p, q, r }
  • p
Question 6
6.
Which of the following are true?
a)
If a polygon is not regular, it will have less number of axes of symmetry than the number of sides.
b)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
c)
Line of symmetry divides the polygon into two identical shapes.
d)
Lines of symmetry of a regular polygon are nothing but the diagonals of a regular polygon.
e)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
f)
A regular polygon of n sides will have n lines of symmetry.
g)
If a triangle has two lines of symmetry, then it is a regular polygon.
  • {b,a}
  • {d,c}
  • {a,c,e,f}
  • {d,f,a}
  • {g,b,e}
Question 7
7.
Which of the following quadrilaterals have two lines of symmetry?
a)
isosceles trapezium
b)
trapezium
c)
parallelogram
d)
kite
e)
rhombus
f)
rectangle
g)
square
  • {a,e}
  • {b,f}
  • {e,f}
  • {g,f,e}
  • {c,d,e}
Question 8
8.
Given figure has how many lines of symmetry?
  • 5
  • 3
  • 6
  • 7
  • 9
Question 9
9.
The English alphabet letter 'N' has how many lines of symmetry?
  • one
  • two
  • zero
  • three
  • infinite
Question 10
10.
Identify the line(s) of symmetry in the following figure
  • { p, q, r }
  • r
  • p
  • none
  • q