ICSE Board Practice

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ICSE Grade VI - Linear Symmetry
Question 1
1.
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 polygon is not regular, it will have less number of axes of symmetry than the number of sides.
f)
If a quadrilateral has four lines of symmetry, then it is a regular polygon.
g)
Line of symmetry divides the polygon into two identical shapes.
  • {b,e}
  • {a,c}
  • {c,e,f,g}
  • {d,a,f}
  • {b,g,c}
Question 2
2.
Which of the following quadrilaterals have two lines of symmetry?
a)
parallelogram
b)
isosceles trapezium
c)
square
d)
rhombus
e)
trapezium
f)
kite
g)
rectangle
  • {d,g}
  • {c,e,d}
  • {b,g}
  • {f,g,d}
  • {a,d}
Question 3
3.
Which of the following English alphabet letters have zero lines of symmetry?
  • H
  • X
  • Q
  • U
  • C
Question 4
4.
The English alphabet letter 'C' has how many lines of symmetry?
  • infinite
  • two
  • three
  • one
  • zero
Question 5
5.
The English alphabet letter 'P' has how many lines of symmetry?
  • infinite
  • zero
  • three
  • one
  • two
Question 6
6.
Which of the following are line(s) of symmetry for the given rectangle?
  • { e, g }
  • none
  • f
  • g
  • { f, h }
Question 7
7.
Which of the following quadrilaterals have three lines of symmetry?
a)
isosceles trapezium
b)
rectangle
c)
none
d)
square
e)
parallelogram
f)
trapezium
g)
rhombus
  • {a,c}
  • {d,e,c}
  • {c}
  • {f,c}
  • {b,c}
Question 8
8.
Which of the following are line(s) of symmetry for the given kite?
  • none
  • e
  • { e, f, g, h }
  • g
  • h
Question 9
9.
Which of the following figures have no line of symmetry?
a)
scalene triangle
b)
line segment
c)
angle with equal arms
d)
isosceles triangle
e)
angle with unequal arms
f)
equilateral triangle
  • {c,e}
  • {b,a}
  • {b,e,a}
  • {a,e}
  • {d,f,a}
Question 10
10.
Which of the following English alphabet letters have one line of symmetry?
  • X
  • P
  • G
  • I
  • D