ICSE Board Practice

ICSE Grade X - Symmetry
Question 1
1.
Which of the following figures have two lines of symmetry?
a)
kite
b)
isosceles triangle
c)
angle with equal arms
d)
line segment
e)
square
f)
scalene triangle
g)
isosceles trapezium
h)
rectangle
  • {f,h,d}
  • {c,e,d}
  • {d,h}
  • {a,d}
  • {b,h}
Question 2
2.
Which of the following quadrilaterals have two lines of symmetry?
a)
trapezium
b)
kite
c)
rhombus
d)
rectangle
e)
isosceles trapezium
f)
square
g)
parallelogram
  • {b,d}
  • {g,d,c}
  • {e,f,c}
  • {a,c}
  • {c,d}
Question 3
3.
Which of the following quadrilaterals have zero lines of symmetry?
a)
rectangle
b)
trapezium
c)
square
d)
parallelogram
e)
kite
f)
isosceles trapezium
g)
rhombus
  • {g,d,b}
  • {a,b}
  • {c,d}
  • {b,d}
  • {e,f,b}
Question 4
4.
Which of the following English alphabet letters have zero lines of symmetry?
  • J
  • I
  • B
  • H
  • D
Question 5
5.
Which of the following are line(s) of symmetry for the given trapezium?
  • h
  • none
  • { e, f, g, h }
  • { e, g }
  • g
Question 6
6.
Which of the following are true?
a)
A figure can have multiple axes of symmetry.
b)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
c)
An obtuse angled triangle has zero lines of symmetry.
d)
Line of symmetry is perpendicular to axis of symmetry.
e)
A line segment has one line of symmetry.
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.
  • {c,a}
  • {e,g,f}
  • {a,b,f,h}
  • {d,b}
  • {c,h,a}
Question 7
7.
The English alphabet letter 'X' has how many lines of symmetry?
  • two
  • one
  • three
  • zero
  • infinite
Question 8
8.
The English alphabet letter 'G' has how many lines of symmetry?
  • one
  • three
  • infinite
  • two
  • zero
Question 9
9.
Identify the line(s) of symmetry in the following figure
  • q
  • { p, q, r }
  • r
  • none
  • p
Question 10
10.
Identify the line(s) of symmetry in the following figure
  • { p, q, r }
  • p
  • none
  • q
  • r