ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Symmetry, Reflection and Rotation
Question 1
1.
    • Find the image of the triangle formed by
    • (
      3
      ,
      3
      )
    • ,
    • (
      2
      ,
      0
      )
    • and
    • (
      6
      ,
      4
      )
    • when rotated about the origin by
    • 180°
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      6
      )
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      0
      ,
      2
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • (
      (
      −
      3
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
    • (
      (
      −
      4
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
Question 2
2.
    • Find the new position of point
    • (
      (
      −
      2
      )
      ,
      (
      −
      9
      )
      )
    • when rotated through
    • 90°
    • clockwise about the origin
  • (
    9
    ,
    (
    −
    2
    )
    )
  • (
    (
    −
    9
    )
    ,
    2
    )
  • (
    9
    ,
    2
    )
  • (
    (
    −
    9
    )
    ,
    (
    −
    2
    )
    )
  • (
    2
    ,
    (
    −
    9
    )
    )
Question 3
3.
Which of the following quadrilaterals have two lines of symmetry?
a)
square
b)
kite
c)
parallelogram
d)
trapezium
e)
rectangle
f)
rhombus
g)
isosceles trapezium
  • {e,f}
  • {a,e}
  • {c,d,e}
  • {b,f}
  • {g,f,e}
Question 4
4.
    • Which of the following points is invariant under reflection in x-axis
  • (
    8
    ,
    8
    )
  • (
    2
    ,
    (
    −
    9
    )
    )
  • (
    8
    ,
    0
    )
  • (
    (
    −
    3
    )
    ,
    7
    )
  • (
    (
    −
    5
    )
    ,
    (
    −
    6
    )
    )
Question 5
5.
Which of the following figures have all symmetries viz. line symmetry, point symmetry and rotational symmetry?
a)
equilateral triangle
b)
parallelogram
c)
circle
d)
regular hexagon
e)
line segment
f)
angle with equal arms
g)
regular pentagon
h)
square
  • {a,c}
  • {c,d,e,h}
  • {f,g,e}
  • {b,d}
  • {a,h,c}
Question 6
6.
Which of the following are line(s) of symmetry for the given parallelogram?
  • e
  • { f, h }
  • g
  • none
  • h
Question 7
7.
Which of the following are true?
a)
A rectangle has rotational symmetry of order four.
b)
A rhombus has rotational symmetry of order four.
c)
A parallelogram has rotational symmetry of order four.
d)
A square has rotational symmetry of order four.
e)
A semi-circle has rotational symmetry of order two.
  • {b,d}
  • {a,d}
  • {c,e,d}
  • {d}
Question 8
8.
Which of the following quadrilaterals have three lines of symmetry?
a)
none
b)
rectangle
c)
rhombus
d)
square
e)
isosceles trapezium
f)
trapezium
g)
parallelogram
  • {f,a}
  • {d,e,a}
  • {b,a}
  • {a}
  • {c,a}
Question 9
9.
    • Write down the coordinates when reflected in the x-axis
    • (
      1
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      3
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      6
      )
    • (
      1
      ,
      5
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      9
      )
      ,
      (
      −
      8
      )
      )
    • (
      1
      ,
      5
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      5
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      6
      )
      )
    • (
      1
      ,
      5
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      6
      )
      )
    • (
      0
      ,
      6
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      6
      )
      )
    • (
      1
      ,
      5
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      7
      )
      )
Question 10
10.
    • Find the image of the point
    • (
      (
      −
      8
      )
      ,
      1
      )
    • when reflected in x-axis
  • (
    8
    ,
    1
    )
  • (
    (
    −
    7
    )
    ,
    (
    −
    1
    )
    )
  • (
    (
    −
    1
    )
    ,
    (
    −
    8
    )
    )
  • (
    (
    −
    8
    )
    ,
    (
    −
    1
    )
    )
  • (
    8
    ,
    (
    −
    1
    )
    )