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 figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?
a)
line segment
b)
circle
c)
equilateral triangle
d)
angle with equal arms
e)
square
f)
regular hexagon
g)
parallelogram
h)
regular pentagon
  • {g,h,e}
  • {d,b}
  • {c,f,a}
  • {c,a}
  • {a,b,e,f}
Question 2
2.
Which of the following triangles have rotational symmetry?
a)
isosceles right angled triangle
b)
right angle triangle
c)
equilateral triangle
d)
scalene triangle
e)
isosceles triangle
  • {d,e,c}
  • {b,c}
  • {c}
  • {a,c}
Question 3
3.
    • Write down the coordinates when reflected in the origin
    • (
      6
      ,
      6
      )
    • ,
    • (
      8
      ,
      8
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      1
      )
    • (
      (
      −
      6
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      7
      ,
      2
      )
    • ,
    • (
      5
      ,
      0
      )
    • (
      (
      −
      4
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      7
      ,
      2
      )
    • ,
    • (
      6
      ,
      (
      −
      1
      )
      )
    • (
      (
      −
      6
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      7
      ,
      2
      )
    • ,
    • (
      6
      ,
      (
      −
      1
      )
      )
    • (
      (
      −
      6
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      8
      ,
      1
      )
    • ,
    • (
      6
      ,
      (
      −
      1
      )
      )
    • (
      (
      −
      6
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      5
      ,
      0
      )
    • ,
    • (
      6
      ,
      (
      −
      1
      )
      )
Question 4
4.
Which of the following quadrilaterals have zero lines of symmetry?
a)
square
b)
parallelogram
c)
kite
d)
rhombus
e)
isosceles trapezium
f)
trapezium
g)
rectangle
  • {d,e,b}
  • {c,f}
  • {a,b}
  • {b,f}
  • {g,f,b}
Question 5
5.
    • Find the new position of point
    • (
      1
      ,
      9
      )
    • when rotated through
    • 90°
    • anticlockwise about the origin
  • (
    9
    ,
    (
    −
    1
    )
    )
  • (
    1
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    9
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    9
    )
    ,
    1
    )
  • (
    9
    ,
    1
    )
Question 6
6.
Which of the following are line(s) of symmetry for the given rhombus?
  • h
  • none
  • { e, f, g, h }
  • { f, h }
  • { e, g }
Question 7
7.
    • Write down the coordinates when reflected in the origin
    • (
      (
      −
      8
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      5
      )
      )
    • (
      8
      ,
      5
      )
    • ,
    • (
      8
      ,
      9
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      5
      )
    • (
      8
      ,
      5
      )
    • ,
    • (
      8
      ,
      9
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      3
      )
    • (
      8
      ,
      5
      )
    • ,
    • (
      10
      ,
      11
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      5
      )
    • (
      7
      ,
      6
      )
    • ,
    • (
      8
      ,
      9
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      5
      )
    • (
      8
      ,
      5
      )
    • ,
    • (
      8
      ,
      9
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      4
      )
Question 8
8.
Which of the following are true?
a)
An obtuse angled triangle has zero lines of symmetry.
b)
A figure can be broken into two congruent shapes about its axis of symmetry.
c)
A figure can have multiple axes of symmetry.
d)
Line of symmetry and axis of symmetry are same.
e)
Axis of symmetry of a figure need not intersect with the figure at any point.
f)
Line of symmetry is perpendicular to axis of symmetry.
g)
For every point on the figure on one side of the axis of symmetry, there is a corresponding point on the other side.
h)
A line segment has one line of symmetry.
  • {a,g,b}
  • {f,h,d}
  • {b,c,d,g}
  • {e,c}
  • {a,b}
Question 9
9.
Which of the following English alphabet letters have two lines of symmetry?
  • D
  • P
  • V
  • X
  • F
Question 10
10.
Which of the following are line(s) of symmetry for the given trapezium?
  • g
  • none
  • e
  • f
  • h