ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Symmetry, Reflection and Rotation
Question 1
1.
    • Find the image of the point A
    • (
      6
      ,
      8
      )
    • under the reflection of a point P
    • (
      5
      ,
      5
      2
      )
  • (
    4
    ,
    (
    −
    3
    )
    )
  • (
    5
    ,
    (
    −
    4
    )
    )
  • (
    2
    ,
    (
    −
    5
    )
    )
  • (
    6
    ,
    (
    −
    1
    )
    )
  • (
    3
    ,
    (
    −
    2
    )
    )
Question 2
2.
    • Which of the following points is invariant under reflection in x-axis
  • (
    (
    −
    8
    )
    ,
    3
    )
  • (
    0
    ,
    0
    )
  • (
    9
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    4
    )
    )
  • (
    9
    ,
    1
    )
Question 3
3.
Which of the following are line(s) of symmetry for the given square?
  • g
  • f
  • { f, h }
  • { e, g }
  • { e, f, g, h }
Question 4
4.
    • Write down the coordinates when reflected in the origin
    • (
      (
      −
      3
      )
      ,
      9
      )
    • ,
    • (
      6
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      7
      )
      )
    • (
      (
      −
      3
      )
      ,
      9
      )
    • ,
    • (
      6
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      −
      5
      )
      )
    • (
      (
      −
      3
      )
      ,
      9
      )
    • ,
    • (
      8
      ,
      0
      )
    • ,
    • (
      8
      ,
      (
      −
      5
      )
      )
    • (
      (
      −
      4
      )
      ,
      10
      )
    • ,
    • (
      6
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      −
      5
      )
      )
    • (
      (
      −
      3
      )
      ,
      9
      )
    • ,
    • (
      6
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      9
      ,
      (
      −
      6
      )
      )
Question 5
5.
Which of the following quadrilaterals have two lines of symmetry?
a)
kite
b)
isosceles trapezium
c)
rhombus
d)
parallelogram
e)
square
f)
rectangle
g)
trapezium
  • {d,e,c}
  • {g,f,c}
  • {b,f}
  • {a,c}
  • {c,f}
Question 6
6.
Which of the following are true?
a)
If a figure does not have point symmetry, it does not have rotational symmetry too.
b)
A circle has infinite points of symmetry.
c)
All regular polygons have point symmetry.
d)
If a figure does not have point symmetry, it does not have line symmetry too.
e)
If a figure does not have line symmetry, it does not have rotational symmetry too.
f)
If a figure does not have rotational symmetry, it does not have point symmetry too.
g)
If a figure has line symmetry, it also has rotational symmetry.
  • {f}
  • {e,f}
  • {c,d,f}
  • {a,f}
  • {b,f}
Question 7
7.
    • Find the image of the point
    • (
      (
      −
      4
      )
      ,
      0
      )
    • when reflected in the origin
  • (
    0
    ,
    4
    )
  • (
    (
    −
    4
    )
    ,
    0
    )
  • (
    4
    ,
    0
    )
  • (
    5
    ,
    0
    )
Question 8
8.
Which of the following figures have infinite lines of symmetry?
a)
line segment
b)
sector of a circle
c)
circle
d)
n-sided polygon where n is very large
e)
semicircle
  • {d,e,c}
  • {c}
  • {b,c}
  • {a,c}
Question 9
9.
Which of the following are line(s) of symmetry for the given trapezium?
  • { f, h }
  • e
  • h
  • f
  • none
Question 10
10.
    • Write down the coordinates when reflected in the origin
    • (
      (
      −
      5
      )
      ,
      6
      )
    • ,
    • (
      0
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      6
      )
      )
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      6
      ,
      5
      )
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      5
      ,
      6
      )
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      7
      )
    • ,
    • (
      5
      ,
      6
      )
    • (
      4
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      5
      ,
      6
      )
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      0
      ,
      5
      )
    • ,
    • (
      3
      ,
      4
      )