ICSE Board Practice

ICSE Grade VIII - Quadrilaterals
Question 1
1.
Name all quadrilaterals whose adjacent angles are supplementary
  • square,rectangle
  • rectangle,rhombus
  • square,rhombus
  • square,parallelogram
  • parallelogram,square,rhombus,rectangle
Question 2
2.
    • In kite
    • IJKL
    • ,
    •  


      IK
       
       
    • and
    •  


      JL
       
       
    • are diagonals. Then
    • ∠MKJ
    • =
  • ∠IML
  • ∠LMK
  • ∠JIM
  • ∠LIM
  • ∠MKL
Question 3
3.
The figure formed by successively joining the mid-points of the sides of a parallelogram is
  • parallelogram
  • rhombus
  • square
  • rectangle
Question 4
4.
    • In rhombus
    • JKLM
    • , diagonals
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • N
    • . Then
    • ∠JKL
    • =
  • ∠JKN
  • ∠KLM
  • ∠LMJ
  • ∠MJK
Question 5
5.
The angles of a quadrilateral BCDE are in the ratio 10 : 25 : 33 : 112. Find the measure of each angle of the quadrilateral.
  • B
    =
    21°
    ,
    C
    =
    49°
    ,
    D
    =
    68°
    ,
    E
    =
    222°
  • B
    =
    19°
    ,
    C
    =
    48°
    ,
    D
    =
    67°
    ,
    E
    =
    226°
  • B
    =
    22°
    ,
    C
    =
    49°
    ,
    D
    =
    64°
    ,
    E
    =
    225°
  • B
    =
    18°
    ,
    C
    =
    52°
    ,
    D
    =
    65°
    ,
    E
    =
    225°
  • B
    =
    20°
    ,
    C
    =
    50°
    ,
    D
    =
    66°
    ,
    E
    =
    224°
Question 6
6.
    • In the given figure, DEFG is a parallelogram. DF bisects ∠D & ∠F.
    • Given
    • DF = 15 cm
    • and
    • EG = 10 cm
    • , find
    • DE
  • 10.01 cm
  • 8.01 cm
  • 7.01 cm
  • 11.01 cm
  • 9.01 cm
Question 7
7.
    • In parallelogram
    • JKLM
    • ,
    • diagonals
    •  


      KM
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • N
    • . Then
    • JN
       
      =
  • KN
  • LN
  • MJ
  • KL
  • MN
Question 8
8.
In the given figure, IJKL is a parallelogram such that R is the mid-point of IJ and  IJ = 2LI. Find ∠LRK
  • 91°
  • 90°
  • 88°
  • 89°
  • 92°
Question 9
9.
    • In parallelogram
    • LMNO
    • ,
    • diagonals
    •  


      MO
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • P
    • . Then
    •  


      MN
       
       
       
  •  


    OL
     
     
  •  


    LM
     
     
  •  


    LN
     
     
  •  


    MO
     
     
  •  


    NO
     
     
Question 10
10.
    • In parallelogram
    • EFGH
    • ,
    • diagonals
    •  


      FH
       
       
    • and
    •  


      EG
       
       
    • intersect at
    • I
    • . Then
    • ∠HEF
       
      =
  • ∠EFI
  • ∠GHE
  • ∠EFG
  • ∠FGH
  • ∠GHI