ICSE Board Practice

ICSE Grade VI - Linear Symmetry
Question 1
1.
Identify the line(s) of symmetry in the following figure
  • none
  • { p, q, r }
  • q
  • p
  • r
Question 2
2.
Which of the following English alphabet letters have infinite lines of symmetry?
  • X
  • I
  • O
  • V
  • Y
Question 3
3.
Which of the following quadrilaterals have four lines of symmetry?
a)
rectangle
b)
isosceles trapezium
c)
rhombus
d)
kite
e)
square
f)
parallelogram
g)
trapezium
  • {a,e}
  • {f,e}
  • {c,d,e}
  • {b,e}
  • {e}
Question 4
4.
The English alphabet letter 'P' has how many lines of symmetry?
  • zero
  • two
  • one
  • three
  • infinite
Question 5
5.
Which of the following are true?
a)
An n-sided regular polygon has n/2 lines of symmetry if n is even.
b)
If a triangle has two 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)
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)
A regular polygon of n sides will have n lines of symmetry.
g)
Line of symmetry divides the polygon into two identical shapes.
  • {b,g,d}
  • {d,e,f,g}
  • {a,d}
  • {b,e}
  • {c,a,f}
Question 6
6.
Which of the following are line(s) of symmetry for the given square?
  • { f, h }
  • none
  • e
  • { e, f, g, h }
  • g
Question 7
7.
Which of the following figures have two lines of symmetry?
a)
isosceles triangle
b)
scalene triangle
c)
square
d)
line segment
e)
kite
f)
rectangle
g)
angle with equal arms
h)
isosceles trapezium
  • {a,d}
  • {d,f}
  • {b,f}
  • {g,f,d}
  • {c,e,d}
Question 8
8.
Which of the following are line(s) of symmetry for the given parallelogram?
  • { e, g }
  • none
  • f
  • { e, f, g, h }
  • h
Question 9
9.
Identify the line(s) of symmetry in the following figure
  • r
  • p
  • q
  • none
  • { p, q, r }
Question 10
10.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • { f, h }
  • { e, f, g, h }
  • none
  • f
  • e