ICSE Board Practice

ICSE Grade IX - Quadrilaterals
Question 1
1.
    • In rhombus
    • IJKL
    • , diagonals
    •  


      IK
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • M
    • . Then
    • △MKJ
  • △MIJ
  • △MKL
  • △MIL
  • △LIJ
Question 2
2.
Two angles of a quadrilateral are of measure 66.87° and 117.62° respectively and the other two angles are equal. Find the measure of each of the equal angles.
  • 87.75°
  • 88.75°
  • 85.75°
  • 89.75°
  • 86.75°
Question 3
3.
    • In parallelogram
    • FGHI
    • ,
    • diagonals
    •  


      GI
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • J
    • . Then
    • △HIF
       
  • △HIJ
  • △FGJ
  • △FGH
  • △IFG
  • △GHI
Question 4
4.
Name all quadrilaterals whose opposite sides are parallel
  • rectangle,rhombus
  • square,rhombus
  • square,parallelogram
  • square,kite
  • parallelogram,square,rhombus,rectangle
Question 5
5.
    • In parallelogram
    • JKLM
    • ,
    • diagonals
    •  


      KM
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • N
    • . Then
    •  


      LM
       
       
       
  •  


    MJ
     
     
  •  


    JL
     
     
  •  


    KM
     
     
  •  


    KL
     
     
  •  


    JK
     
     
Question 6
6.
The diagonals do not divide the quadrilateral into congruent triangles in which figure?
  • trapezium
  • square
  • rhombus
  • parallelogram
  • rectangle
Question 7
7.
    • In the given figure,
    • LMNO
    • is a rectangle whose diagonals intersect at
    • P
    • .
    • Diagonal
    • LN
    • is produced to
    • T
    • and
    • ∠MLT =
    • 143.13°
    • . Find the angles of
    • △PMN
    • .
  • P
    =
    75.74°
    ,
    M
    =
    53.13°
    ,
    N
    =
    51.13°
  • P
    =
    71.74°
    ,
    M
    =
    55.13°
    ,
    N
    =
    53.13°
  • P
    =
    73.74°
    ,
    M
    =
    51.13°
    ,
    N
    =
    55.13°
  • P
    =
    73.74°
    ,
    M
    =
    53.13°
    ,
    N
    =
    53.13°
  • P
    =
    71.74°
    ,
    M
    =
    53.13°
    ,
    N
    =
    55.13°
Question 8
8.
    • In parallelogram
    • KLMN
    • ,
    • diagonals
    •  


      LN
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • O
    • . Then
    •  


      KL
       
       
       
  •  


    MN
     
     
  •  


    KM
     
     
  •  


    NK
     
     
  •  


    LM
     
     
  •  


    LN
     
     
Question 9
9.
In the given figure, HIJK is a parallelogram. The bisector of the angles H, I, J & K intersect at P, Q, R & S to form a quadrilateral. Find ∠SPQ
  • 90°
  • 88°
  • 91°
  • 92°
  • 89°
Question 10
10.
    • In rhombus
    • MNOP
    • , diagonals
    •  


      MO
       
       
    • and
    •  


      NP
       
       
    • intersect at
    • Q
    • . Then
    • △QOP
  • △PMN
  • △QON
  • △QMP
  • △QMN