ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Symmetry, Reflection and Rotation
Question 1
1.
Which of the following quadrilaterals have four lines of symmetry?
a)
parallelogram
b)
isosceles trapezium
c)
square
d)
trapezium
e)
rectangle
f)
kite
g)
rhombus
  • {d,e,c}
  • {a,c}
  • {b,c}
  • {c}
  • {f,c}
Question 2
2.
    • Find the image of the triangle formed by
    • (
      4
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      8
      )
      )
    • and
    • (
      4
      ,
      (
      −
      5
      )
      )
    • when rotated about the origin by
    • 180°
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      9
      ,
      10
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      5
      )
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      4
      )
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      3
      )
    • (
      (
      −
      5
      )
      ,
      9
      )
    • ,
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      5
      )
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      5
      )
Question 3
3.
    • Find the new position of point
    • (
      9
      ,
      (
      −
      7
      )
      )
    • when rotated through
    • 90°
    • clockwise about the origin
  • (
    7
    ,
    9
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    9
    )
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    (
    −
    9
    )
    )
  • (
    (
    −
    7
    )
    ,
    9
    )
Question 4
4.
Which of the following English alphabet letters does not have point symmetry?
  • Z
  • N
  • C
  • X
  • S
Question 5
5.
The English alphabet letter 'D' has how many lines of symmetry?
  • three
  • one
  • infinite
  • two
  • zero
Question 6
6.
Which of the following quadrilaterals have one line of symmetry?
a)
isosceles trapezium
b)
parallelogram
c)
kite
d)
square
e)
trapezium
f)
rectangle
g)
rhombus
  • {e,f,a}
  • {d,c}
  • {g,c,a}
  • {a,c}
  • {b,a}
Question 7
7.
    • Write down the coordinates when reflected in the x-axis
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      7
      ,
      1
      )
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      10
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      11
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      2
      ,
      (
      −
      8
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      8
      ,
      0
      )
Question 8
8.
Given figure has how many lines of symmetry?
  • 4
  • 8
  • 7
  • 6
  • 5
Question 9
9.
    • Write down the coordinates when reflected in the y-axis
    • (
      (
      −
      9
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      4
      ,
      8
      )
    • ,
    • (
      (
      −
      9
      )
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      2
      )
      )
    • (
      9
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      9
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • (
      11
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      9
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • (
      9
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      7
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • (
      9
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      10
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      (
      −
      2
      )
      )
    • (
      9
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      8
      )
    • ,
    • (
      9
      ,
      (
      −
      1
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      )
      )
Question 10
10.
The English alphabet letter 'F' has how many lines of symmetry?
  • zero
  • infinite
  • two
  • one
  • three