ICSE Board Practice

ICSE Grade IX - Quadrilaterals
Question 1
1.
The opposite sides of the quadrilateral are
  •  


    HI
     
     
    &
     


    JK
     
     
    ,
     


    IJ
     
     
    &
     


    KH
     
     
  •  


    HJ
     
     
    &
     


    KI
     
     
    ,
     


    JK
     
     
    &
     


    IH
     
     
  •  


    HJ
     
     
    &
     


    IK
     
     
    ,
     


    JI
     
     
    &
     


    KH
     
     
  •  


    HI
     
     
    &
     


    KL
     
     
    ,
     


    IK
     
     
    &
     


    LH
     
     
  •  


    HI
     
     
    &
     


    JL
     
     
    ,
     


    IJ
     
     
    &
     


    LH
     
     
Question 2
2.
Which of the following properties apply for a rectangle ?
a)
Opposite angles are equal
b)
Adjacent sides are equal
c)
Diagonals bisect each other
d)
Opposite sides are parallel
e)
Diagonals are equal
f)
Opposite sides are equal
g)
Adjacent angles are equal
  • {b,d}
  • {b,a}
  • {b,e,f}
  • {a,c,d,e,f,g}
  • {b,c}
Question 3
3.
    • In the given figure,
    • KLMN
    • is a kite whose diagonals intersect at
    • O
    • .
    • If
    • ∠LMN = 67.38°
    • and
    • ∠MNK = 97.98°
    • , calculate
    • ∠OKL
    • and
    • ∠MOL
    • .
  • x
    =
    46.33°
    ,
    y
    =
    88°
  • x
    =
    48.33°
    ,
    y
    =
    90°
  • x
    =
    50.33°
    ,
    y
    =
    92°
  • x
    =
    49.33°
    ,
    y
    =
    91°
  • x
    =
    47.33°
    ,
    y
    =
    89°
Question 4
4.
    • In parallelogram
    • CDEF
    • ,
    • diagonals
    •  


      DF
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • G
    • . Then
    • △FCD
       
  • △CDG
  • △DEF
  • △EFC
  • △EFG
  • △CDE
Question 5
5.
    • In rhombus
    • NOPQ
    • , diagonals
    •  


      NP
       
       
    • and
    •  


      OQ
       
       
    • intersect at
    • R
    • . Then
    • △RPO
  • △RNQ
  • △QNO
  • △RPQ
  • △RNO
Question 6
6.
Identify the figure below
  • circle
  • parallelogram
  • square
  • rhombus
  • rectangle
Question 7
7.
    • In parallelogram
    • DEFG
    • ,
    • diagonals
    •  


      EG
       
       
    • and
    •  


      DF
       
       
    • intersect at
    • H
    • . Then
    • ∠EFG
       
      =
  • ∠DEH
  • ∠GDE
  • ∠DEF
  • ∠FGD
  • ∠FGH
Question 8
8.
    • In rhombus
    • IJKL
    • , diagonals
    •  


      IK
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • M
    • . Then
    • ∠KLI
    • =
  • ∠JKL
  • ∠IJM
  • ∠IJK
  • ∠LIJ
Question 9
9.
The figure formed by successively joining the mid-points of the sides of a rhombus is
  • rhombus
  • parallelogram
  • square
  • rectangle
Question 10
10.
Find the missing angle in the given trapezium
  • 137.63°
  • 132.63°
  • 157.63°
  • 142.63°
  • 127.63°