CBSE Board Practice

CBSE Grade IX - Quadrilaterals
Question 1
1.
    • In rhombus
    • JKLM
    • , diagonals
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • N
    • . Then
    • ∠MJN
  • ∠KLN
  • ∠NJK
  • ∠JNM
  • ∠NLM
Question 2
2.
    • P, Q, R are the mid-points of the sides of triangle EFG.
    • If the perimeter of the
    • △EFG
    • is
    • 52 cm
    • , the perimeter of
    • △PQR
    • is
  • 24.0 cm
  • 27.0 cm
  • 28.0 cm
  • 25.0 cm
  • 26.0 cm
Question 3
3.
    • In the figure given below,
    • BCDE
    • is a rhombus.
    • Find the values of x and y
  • x
    =
    45.42°
    ,
    y
    =
    45.42°
  • x
    =
    42.42°
    ,
    y
    =
    42.42°
  • x
    =
    46.42°
    ,
    y
    =
    46.42°
  • x
    =
    43.42°
    ,
    y
    =
    43.42°
  • x
    =
    44.42°
    ,
    y
    =
    44.42°
Question 4
4.
The diagonals of the parallelogram are
  •  


    PO
     
     
    ,
     


    NQ
     
     
  •  


    PQ
     
     
    ,
     


    NO
     
     
  •  


    OR
     
     
    ,
     


    NP
     
     
  •  


    OR
     
     
    ,
     


    NQ
     
     
  •  


    OQ
     
     
    ,
     


    NP
     
     
Question 5
5.
Two adjacent angles of a parallelogram FGHI are in the ratio 15 : 21. Find the measure of each of its angles.
  • F
    =
    73°
    ,
    G
    =
    107°
    ,
    H
    =
    74°
    ,
    I
    =
    106°
  • F
    =
    77°
    ,
    G
    =
    104°
    ,
    H
    =
    73°
    ,
    I
    =
    106°
  • F
    =
    74°
    ,
    G
    =
    103°
    ,
    H
    =
    76°
    ,
    I
    =
    107°
  • F
    =
    76°
    ,
    G
    =
    104°
    ,
    H
    =
    77°
    ,
    I
    =
    103°
  • F
    =
    75°
    ,
    G
    =
    105°
    ,
    H
    =
    75°
    ,
    I
    =
    105°
Question 6
6.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • ∠IJH
  • ∠GJF
  • ∠FJI
  • ∠IFG
  • ∠HJG
Question 7
7.
    • In rhombus
    • KLMN
    • , diagonals
    •  


      KM
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • O
    • . Then
    • △OMN
  • △NKL
  • △OKL
  • △OKN
  • △OML
Question 8
8.
    • In the adjoining figure,
    • MNOP
    • is a parallelogram and
    • QR
    • is such that
    •  


      QR
       
       
       


      MO
       
       
    • If
    • ∠MPQ = 23.7°
    • and
    • ∠OPR = 40.16°
    • ,
    • find the measure of
    • ∠MNO
    • .
  • 114.14°
  • 115.14°
  • 118.14°
  • 117.14°
  • 116.14°
Question 9
9.
    • In the given figure
    • △CDE
    • ,
    • F
    • is the mid-point of
    •  
    •  


      CD
       
       
    • and
    •  
    •  


      FG
       
       
       


      DE
       
       
    • ,
    • then
    •  
    • CG
    • =
  • EC
  • CD
  • FD
  • GE
  • CF
Question 10
10.
    • In kite
    • OPQR
    • ,
    •  


      OQ
       
       
    • and
    •  


      PR
       
       
    • are diagonals. Then
    • QR
    • =
  • OQ
  • OP
  • PR
  • PQ
  • RO