ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Symmetry, Reflection and Rotation
Question 1
1.
Identify the line(s) of symmetry in the following figure
  • p
  • r
  • none
  • q
  • { p, q, r }
Question 2
2.
Which of the following figures have no line of symmetry?
a)
isosceles triangle
b)
scalene triangle
c)
angle with unequal arms
d)
angle with equal arms
e)
equilateral triangle
f)
line segment
  • {a,c,b}
  • {e,f,b}
  • {a,b}
  • {d,c}
  • {b,c}
Question 3
3.
    • Find the image of the point
    • (
      4
      ,
      (
      −
      5
      )
      )
    • when reflected in the origin
  • (
    (
    −
    4
    )
    ,
    5
    )
  • (
    (
    −
    3
    )
    ,
    5
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    5
    )
    )
  • (
    4
    ,
    5
    )
  • (
    5
    ,
    (
    −
    4
    )
    )
Question 4
4.
Which of the following English alphabet letters has point symmetry?
  • B
  • Z
  • D
  • F
  • E
Question 5
5.
Which of the following figures have three lines of symmetry?
a)
isosceles triangle
b)
right angle triangle
c)
isosceles right angled triangle
d)
line segment
e)
scalene triangle
f)
equilateral triangle
  • {a,f}
  • {c,d,f}
  • {b,f}
  • {e,f}
  • {f}
Question 6
6.
A median is an axis of symmetry in which of the given figures?
a)
isosceles right angled triangle
b)
scalene triangle
c)
isosceles triangle
d)
equilateral triangle
e)
right angle triangle
  • {e,c}
  • {b,a,c}
  • {b,e,d}
  • {b,a}
  • {a,c,d}
Question 7
7.
Identify the line(s) of symmetry in the following figure
  • none
  • q
  • { p, q, r }
  • r
  • p
Question 8
8.
Which of the following quadrilaterals have four lines of symmetry?
a)
rectangle
b)
trapezium
c)
rhombus
d)
isosceles trapezium
e)
kite
f)
parallelogram
g)
square
  • {e,g}
  • {c,d,g}
  • {a,g}
  • {b,g}
  • {g}
Question 9
9.
Which of the following are true?
a)
A polygon need not be regular to have point symmetry.
b)
A polygon need not be regular to have rotational symmetry.
c)
A circle has infinite points of symmetry.
d)
A circle has rotational symmetry of infinite order.
e)
A circle has infinite lines of symmetry.
  • {a,b,d,e}
  • {c,b}
  • {c,e,a}
  • {c,a}
  • {c,d}
Question 10
10.
    • Find the coordinates of the reflection
    • of the point
    • (
      (
      −
      1
      )
      ,
      2
      )
    • in line
    • (
      −
      x
      +
      6
      		)
      =
      0
  • (
    12
    ,
    3
    )
  • (
    13
    ,
    2
    )
  • (
    11
    ,
    0
    )
  • (
    14
    ,
    1
    )
  • (
    15
    ,
    4
    )