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 triangle formed by
    • (
      7
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      3
      )
      )
    • and
    • (
      0
      ,
      (
      −
      7
      )
      )
    • when rotated about the origin by
    • 90°
    • (
      5
      ,
      7
      )
    • ,
    • (
      3
      ,
      5
      )
    • ,
    • (
      5
      ,
      (
      −
      2
      )
      )
    • (
      5
      ,
      7
      )
    • ,
    • (
      3
      ,
      5
      )
    • ,
    • (
      7
      ,
      0
      )
    • (
      5
      ,
      7
      )
    • ,
    • (
      3
      ,
      5
      )
    • ,
    • (
      8
      ,
      (
      −
      1
      )
      )
    • (
      5
      ,
      7
      )
    • ,
    • (
      7
      ,
      0
      )
    • (
      4
      ,
      8
      )
    • ,
    • (
      3
      ,
      5
      )
    • ,
    • (
      7
      ,
      0
      )
Question 2
2.
The English alphabet letter 'O' has how many lines of symmetry?
  • infinite
  • one
  • zero
  • two
  • three
Question 3
3.
If a figure has rotational symmetry of order 4, then it regain its shape after being rotated by an angle of
  • 85°
  • 93°
  • 90°
  • 87°
  • 95°
Question 4
4.
    • Write down the coordinates when reflected in the y-axis
    • (
      8
      ,
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      6
      ,
      6
      )
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      6
      )
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      10
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      6
      )
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      7
      )
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      6
      )
    • (
      (
      −
      6
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      6
      )
Question 5
5.
Which of the following figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?
a)
regular hexagon
b)
angle with equal arms
c)
parallelogram
d)
circle
e)
equilateral triangle
f)
regular pentagon
g)
line segment
h)
square
  • {b,h,a}
  • {c,d}
  • {e,f,g}
  • {a,d,g,h}
  • {b,a}
Question 6
6.
Which of the following are line(s) of symmetry for the given parallelogram?
  • e
  • { f, h }
  • f
  • none
  • g
Question 7
7.
Which of the following are true?
a)
A polygon need not be regular to have point symmetry.
b)
A circle has infinite lines of symmetry.
c)
A circle has infinite points of symmetry.
d)
A circle has rotational symmetry of infinite order.
e)
A polygon need not be regular to have rotational symmetry.
  • {c,a}
  • {c,d}
  • {a,b,d,e}
  • {c,b}
  • {c,e,a}
Question 8
8.
Identify the line(s) of symmetry in the following figure
  • none
  • { p, q, r }
  • r
  • q
  • p
Question 9
9.
The English alphabet letter 'J' has how many lines of symmetry?
  • one
  • infinite
  • two
  • zero
  • three
Question 10
10.
Which of the following English alphabet letters does not have rotational symmetry?
  • O
  • S
  • C
  • Z
  • I