ICSE Board Practice

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


      IK
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • M
    • . Then
    • IJ
  • JL
  • LI
  • JK
  • KL
Question 2
2.
    • In the adjoining figure,
    • ABCD
    • is a kite in which
    • AB
    • =
    • DA
    • ,
    • BC
    • =
    • CD
    • and the diagonals
    •  


      BD
       
       
    • and
    •  


      AC
       
       
    • intersect at
    •  
    • O
    • .
    • If ∠OCD = 18.98° and ∠ABO = 72.01°, find the measure of each of the angles marked a,b,c,d and e.
  • a = 71.02° , b = 18.99° , c = 72.01° , d = 71.02° , e = 18.98°
  • a = 71.02° , b = 17.99° , c = 72.01° , d = 71.02° , e = 18.98°
  • a = 71.02° , b = 18.99° , c = 71.01° , d = 71.02° , e = 18.98°
  • a = 71.02° , b = 18.99° , c = 71.01° , d = 73.02° , e = 18.98°
  • a = 71.02° , b = 18.99° , c = 71.01° , d = 73.02° , e = 16.98°
Question 3
3.
The opposite sides of the rhombus are
  •  


    GH
     
     
    &
     


    JK
     
     
    ,
     


    HJ
     
     
    &
     


    KG
     
     
  •  


    GH
     
     
    &
     


    IJ
     
     
    ,
     


    HI
     
     
    &
     


    JG
     
     
  •  


    GH
     
     
    &
     


    IK
     
     
    ,
     


    HI
     
     
    &
     


    KG
     
     
  •  


    GI
     
     
    &
     


    HJ
     
     
    ,
     


    IH
     
     
    &
     


    JG
     
     
  •  


    GI
     
     
    &
     


    JH
     
     
    ,
     


    IJ
     
     
    &
     


    HG
     
     
Question 4
4.
    • In parallelogram
    • LMNO
    • ,
    • diagonals
    •  


      MO
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • P
    • . Then
    • ∠OLM
       
      =
  • ∠MNO
  • ∠NOP
  • ∠LMP
  • ∠NOL
  • ∠LMN
Question 5
5.
Identify the figure below
  • square
  • trapezium
  • rhombus
  • angle
  • kite
Question 6
6.
The opposite sides of the quadrilateral are
  •  


    JK
     
     
    &
     


    LM
     
     
    ,
     


    KL
     
     
    &
     


    MJ
     
     
  •  


    JK
     
     
    &
     


    LN
     
     
    ,
     


    KL
     
     
    &
     


    NJ
     
     
  •  


    JL
     
     
    &
     


    KM
     
     
    ,
     


    LK
     
     
    &
     


    MJ
     
     
  •  


    JL
     
     
    &
     


    MK
     
     
    ,
     


    LM
     
     
    &
     


    KJ
     
     
  •  


    JK
     
     
    &
     


    MN
     
     
    ,
     


    KM
     
     
    &
     


    NJ
     
     
Question 7
7.
    • In the figure given below,
    • FGHI
    • is a rhombus.
    • Find the values of x and y
  • x
    =
    71.41°
    ,
    y
    =
    71.41°
  • x
    =
    72.41°
    ,
    y
    =
    72.41°
  • x
    =
    69.41°
    ,
    y
    =
    69.41°
  • x
    =
    70.41°
    ,
    y
    =
    70.41°
  • x
    =
    68.41°
    ,
    y
    =
    68.41°
Question 8
8.
Name all quadrilaterals whose all angles are right angles
  • square,rhombus
  • rectangle,rhombus
  • square,rectangle
  • parallelogram,square,rhombus,rectangle
  • square,parallelogram
Question 9
9.
The opposite angles of the rhombus are
  • ∠O & ∠R , ∠Q & ∠P
  • ∠O & ∠R , ∠P & ∠S
  • ∠O & ∠Q , ∠P & ∠S
  • ∠O & ∠P , ∠Q & ∠R
  • ∠O & ∠Q , ∠P & ∠R
Question 10
10.
The angles of the parallelogram are
  • ∠P , ∠Q , ∠R , ∠T
  • ∠P , ∠Q , ∠R , ∠S
  • ∠P , ∠Q , ∠R , ∠U
  • ∠P , ∠Q , ∠S , ∠U
  • ∠P , ∠Q , ∠S , ∠T