ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Symmetry, Reflection and Rotation
Question 1
1.
    • Write down the coordinates when reflected in the origin
    • (
      7
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      7
      ,
      8
      )
    • (
      7
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      5
      ,
      6
      )
    • (
      6
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      7
      ,
      8
      )
    • (
      7
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      6
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      7
      ,
      8
      )
    • (
      7
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      8
      ,
      7
      )
Question 2
2.
A figure possesses rotational symmetry if it regain its shape after rotating
a)
270°
b)
90°
c)
180°
d)
360°
  • {a,b,c}
  • {d,a}
  • {d,c}
  • {d,a,b}
  • {d,b}
Question 3
3.
A median is an axis of symmetry in which of the given figures?
a)
isosceles right angled triangle
b)
scalene triangle
c)
right angle triangle
d)
isosceles triangle
e)
equilateral triangle
  • {c,d}
  • {b,c,e}
  • {b,a,d}
  • {a,d,e}
  • {b,a}
Question 4
4.
    • Find the image of the triangle formed by
    • (
      3
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      8
      )
    • and
    • (
      (
      −
      2
      )
      ,
      (
      −
      8
      )
      )
    • when rotated about the origin by
    • 270°
    • (
      (
      −
      4
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      8
      ,
      8
      )
    • ,
    • (
      (
      −
      10
      )
      ,
      0
      )
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      8
      ,
      8
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      8
      ,
      8
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      10
      ,
      10
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      2
      )
    • (
      (
      −
      4
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      8
      ,
      8
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      1
      )
Question 5
5.
Which of the following are true?
a)
A circle has infinite points of symmetry.
b)
A polygon need not be regular to have rotational symmetry.
c)
A polygon need not be regular to have point symmetry.
d)
A circle has rotational symmetry of infinite order.
e)
A circle has infinite lines of symmetry.
  • {a,c}
  • {a,e,b}
  • {b,c,d,e}
  • {a,d}
  • {a,b}
Question 6
6.
Which of the following are line(s) of symmetry for the given isosceles trapezium?
  • f
  • none
  • h
  • e
  • { e, f, g, h }
Question 7
7.
Which of the following triangles have rotational symmetry?
a)
scalene triangle
b)
equilateral triangle
c)
isosceles triangle
d)
right angle triangle
e)
isosceles right angled triangle
  • {a,b}
  • {c,b}
  • {b}
  • {d,e,b}
Question 8
8.
    • Write down the coordinates when reflected in the y-axis
    • (
      (
      −
      7
      )
      ,
      0
      )
    • ,
    • (
      5
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      4
      )
      )
    • (
      6
      ,
      1
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      )
      )
    • (
      7
      ,
      0
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      6
      )
      )
    • (
      7
      ,
      0
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • (
      7
      ,
      0
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      )
      )
    • (
      7
      ,
      0
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      9
      )
    • ,
    • (
      1
      ,
      (
      −
      4
      )
      )
Question 9
9.
Which of the following quadrilaterals have three lines of symmetry?
a)
square
b)
isosceles trapezium
c)
parallelogram
d)
rhombus
e)
rectangle
f)
trapezium
g)
none
  • {a,g}
  • {c,d,g}
  • {g}
  • {b,g}
  • {e,g}
Question 10
10.
Which of the following are line(s) of symmetry for the given rectangle?
  • { f, h }
  • h
  • { e, g }
  • f
  • e