ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Symmetry, Reflection and Rotation
Question 1
1.
    • Which of the following points is invariant under reflection in y-axis
  • (
    (
    −
    3
    )
    ,
    9
    )
  • (
    0
    ,
    2
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    1
    )
    )
  • (
    7
    ,
    (
    −
    9
    )
    )
  • (
    2
    ,
    4
    )
Question 2
2.
    • Find the coordinates of the reflection
    • of the point
    • (
      (
      −
      6
      )
      ,
      7
      )
    • in line
    • (
      12
      y
      +
      48
      		)
      =
      0
  • (
    (
    −
    5
    )
    ,
    (
    −
    16
    )
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    14
    )
    )
  • (
    (
    −
    4
    )
    ,
    (
    −
    13
    )
    )
  • (
    (
    −
    8
    )
    ,
    (
    −
    17
    )
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    15
    )
    )
Question 3
3.
    • Write down the coordinates when reflected in the origin
    • (
      6
      ,
      0
      )
    • ,
    • (
      4
      ,
      2
      )
    • ,
    • (
      1
      ,
      7
      )
    • (
      7
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      2
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • (
      7
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      2
      )
    • ,
    • (
      1
      ,
      7
      )
    • (
      7
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      2
      )
    • ,
    • (
      2
      ,
      6
      )
    • (
      7
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      6
      ,
      4
      )
    • ,
    • (
      1
      ,
      7
      )
Question 4
4.
Which of the following quadrilaterals have point symmetry?
a)
square
b)
parallelogram
c)
rhombus
d)
rectangle
e)
kite
f)
isosceles trapezium
g)
trapezium
  • {f,b}
  • {a,b,c,d}
  • {f,d,a}
  • {g,e,c}
  • {e,a}
Question 5
5.
    • Find the new position of point
    • (
      6
      ,
      9
      )
    • when rotated through
    • 180°
    • anticlockwise about the origin
  • (
    6
    ,
    9
    )
  • (
    (
    −
    6
    )
    ,
    9
    )
  • (
    6
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    9
    )
    ,
    (
    −
    6
    )
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    9
    )
    )
Question 6
6.
Which of the following triangles have rotational symmetry?
a)
scalene triangle
b)
isosceles triangle
c)
isosceles right angled triangle
d)
equilateral triangle
e)
right angle triangle
  • {c,e,d}
  • {b,d}
  • {a,d}
  • {d}
Question 7
7.
    • Find the image of the triangle formed by
    • (
      2
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      8
      )
    • and
    • (
      5
      ,
      (
      −
      7
      )
      )
    • when rotated about the origin by
    • 180°
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      7
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      5
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      6
      )
    • (
      (
      −
      3
      )
      ,
      8
      )
    • ,
    • (
      5
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      5
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      5
      )
    • (
      (
      −
      2
      )
      ,
      7
      )
    • ,
    • (
      5
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
Question 8
8.
Which of the following English alphabet letters has point symmetry?
  • N
  • J
  • E
  • C
  • K
Question 9
9.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • e
  • f
  • { e, g }
  • h
  • g
Question 10
10.
Identify the line(s) of symmetry in the following figure
  • { p, q, r }
  • q
  • r
  • none
  • p