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 rectangle formed by
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      6
      ,
      2
      )
    • and
    • (
      (
      −
      2
      )
      ,
      2
      )
    • when rotated about the origin by
    • 270°
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      3
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      1
      ,
      3
      )
    • (
      (
      −
      2
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      2
      ,
      2
      )
Question 2
2.
Which of the following English alphabet letters does not have point symmetry?
  • I
  • X
  • A
  • N
  • H
Question 3
3.
Given figure has how many lines of symmetry?
  • 5
  • 2
  • 6
  • 4
  • 8
Question 4
4.
The English alphabet letter 'P' has how many lines of symmetry?
  • two
  • three
  • zero
  • one
  • infinite
Question 5
5.
    • Find the image of the point A
    • (
      (
      −
      1
      )
      ,
      4
      )
    • under the reflection of a point P
    • (
      (
      −
      4
      )
      ,
      (
      −
      1
      )
      )
  • (
    (
    −
    5
    )
    ,
    (
    −
    4
    )
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    6
    )
    )
  • (
    (
    −
    8
    )
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    9
    )
    ,
    (
    −
    8
    )
    )
  • (
    (
    −
    6
    )
    ,
    (
    −
    7
    )
    )
Question 6
6.
Identify the line(s) of symmetry in the following figure
  • p
  • { p, q, r }
  • r
  • q
  • none
Question 7
7.
    • Find the image of the rectangle formed by
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      6
      ,
      4
      )
    • and
    • (
      (
      −
      2
      )
      ,
      4
      )
    • when rotated about the origin by
    • 180°
    • (
      4
      ,
      6
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
    • (
      2
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      )
      )
    • (
      2
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
    • (
      2
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
    • (
      2
      ,
      4
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      4
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      4
      )
      )
Question 8
8.
Which of the following figures have three lines of symmetry?
a)
isosceles triangle
b)
right angle triangle
c)
line segment
d)
scalene triangle
e)
equilateral triangle
f)
isosceles right angled triangle
  • {a,e}
  • {c,d,e}
  • {e}
  • {f,e}
  • {b,e}
Question 9
9.
Which of the following are line(s) of symmetry for the given rhombus?
  • none
  • { e, f, g, h }
  • e
  • f
  • { f, h }
Question 10
10.
    • Write down the coordinates when reflected in the x-axis
    • (
      3
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
    • (
      3
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      1
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      7
      )
      )
    • (
      2
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      7
      )
      )
    • (
      3
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      9
      )
      )
    • (
      3
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      7
      )
      )