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)
square
b)
kite
c)
isosceles trapezium
d)
rhombus
e)
trapezium
f)
parallelogram
g)
rectangle
  • {d,e,a}
  • {f,a}
  • {a}
  • {c,a}
  • {b,a}
Question 2
2.
Which of the following English alphabet letters have zero lines of symmetry?
  • A
  • X
  • R
  • K
  • H
Question 3
3.
    • Find the new position of point
    • (
      (
      −
      7
      )
      ,
      5
      )
    • when rotated through
    • 90°
    • clockwise about the origin
  • (
    5
    ,
    (
    −
    7
    )
    )
  • (
    7
    ,
    5
    )
  • (
    5
    ,
    7
    )
  • (
    (
    −
    5
    )
    ,
    7
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    7
    )
    )
Question 4
4.
    • Find the image of the point
    • (
      1
      ,
      5
      )
    • when reflected in the origin
  • (
    0
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    5
    )
    )
  • (
    1
    ,
    (
    −
    5
    )
    )
  • (
    (
    −
    1
    )
    ,
    5
    )
Question 5
5.
Which of the following English alphabet letters have two lines of symmetry?
  • D
  • B
  • J
  • P
  • H
Question 6
6.
Which of the following English alphabet letters has rotational symmetry?
  • I
  • A
  • D
  • B
  • E
Question 7
7.
The English alphabet letter 'O' has how many lines of symmetry?
  • one
  • three
  • zero
  • infinite
  • two
Question 8
8.
    • Write down the coordinates when reflected in the y-axis
    • (
      (
      −
      9
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      6
      )
      )
    • (
      (
      −
      9
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      6
      )
      )
    • (
      (
      −
      9
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      6
      )
      )
    • (
      (
      −
      7
      )
      ,
      11
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      1
      ,
      (
      −
      6
      )
      )
    • (
      (
      −
      9
      )
      ,
      9
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      0
      ,
      (
      −
      5
      )
      )
Question 9
9.
Which of the following are true?
a)
A square has rotational symmetry of order four.
b)
A semi-circle has rotational symmetry of order two.
c)
A rectangle has rotational symmetry of order four.
d)
A parallelogram has rotational symmetry of order four.
e)
A rhombus has rotational symmetry of order four.
  • {b,a}
  • {a}
  • {d,e,a}
  • {c,a}
Question 10
10.
    • Write down the coordinates when reflected in the origin
    • (
      3
      ,
      0
      )
    • ,
    • (
      8
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      (
      −
      4
      )
      ,
      (
      −
      1
      )
      )
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      3
      ,
      2
      )
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • (
      (
      −
      3
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      )
    • (
      (
      −
      1
      )
      ,
      2
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      0
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      4
      ,
      1
      )