CBSE Board Practice

CBSE Grade IX - Quadrilaterals
Question 1
1.
In the given figure, CDEF is a parallelogram. CM and EN are perpendicular to the diagonal DF. Given ∠NEF = 31°, find ∠FDC
  • 59°
  • 61°
  • 57°
  • 60°
  • 58°
Question 2
2.
    • In rhombus
    • KLMN
    • , diagonals
    •  


      KM
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • O
    • . Then
    • ∠NKO
  • ∠OMN
  • ∠LMO
  • ∠OKL
  • ∠KON
Question 3
3.
BCDE is an isosceles trapezium. BQ and CQ are angular bisector of ∠B & ∠C. If ∠B = 59°, find ∠BQC
  • 120°
  • 123°
  • 122°
  • 119°
  • 121°
Question 4
4.
    • In the given figure,
    • DEFG
    • is a kite whose diagonals intersect at
    • H
    • .
    • If
    • ∠GDE = 114.4°
    • and
    • ∠EFG = 87.51°
    • , calculate
    • ∠HGD
    • and
    • ∠HEF
    • .
  • x
    =
    32.8°
    ,
    y
    =
    46.25°
  • x
    =
    30.8°
    ,
    y
    =
    44.25°
  • x
    =
    31.8°
    ,
    y
    =
    45.25°
  • x
    =
    33.8°
    ,
    y
    =
    47.25°
  • x
    =
    34.8°
    ,
    y
    =
    48.25°
Question 5
5.
    • In parallelogram
    • MNOP
    • ,
    • diagonals
    •  


      NP
       
       
    • and
    •  


      MO
       
       
    • intersect at
    • Q
    • . Then
    •  


      OP
       
       
       
  •  


    PM
     
     
  •  


    NP
     
     
  •  


    MN
     
     
  •  


    MO
     
     
  •  


    NO
     
     
Question 6
6.
    • In kite
    • FGHI
    • ,
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • are diagonals. Then
    • ∠HIF
    • =
  • ∠FIG
  • ∠HIG
  • ∠FGH
  • ∠FJI
  • ∠FJG
Question 7
7.
The opposite sides of the parallelogram are
  •  


    EG
     
     
    &
     


    HF
     
     
    ,
     


    GH
     
     
    &
     


    FE
     
     
  •  


    EG
     
     
    &
     


    FH
     
     
    ,
     


    GF
     
     
    &
     


    HE
     
     
  •  


    EF
     
     
    &
     


    HI
     
     
    ,
     


    FH
     
     
    &
     


    IE
     
     
  •  


    EF
     
     
    &
     


    GH
     
     
    ,
     


    FG
     
     
    &
     


    HE
     
     
  •  


    EF
     
     
    &
     


    GI
     
     
    ,
     


    FG
     
     
    &
     


    IE
     
     
Question 8
8.
Name all quadrilaterals whose opposite sides are equal
  • square,kite
  • parallelogram,square,rhombus,rectangle
  • square,rectangle
  • square,parallelogram
  • square,rhombus
Question 9
9.
    • In the figure given below,
    • CDEF
    • is a rhombus.
    • Find the values of x and y
  • x
    =
    54.48°
    ,
    y
    =
    54.48°
  • x
    =
    55.48°
    ,
    y
    =
    55.48°
  • x
    =
    53.48°
    ,
    y
    =
    53.48°
  • x
    =
    52.48°
    ,
    y
    =
    52.48°
  • x
    =
    51.48°
    ,
    y
    =
    51.48°
Question 10
10.
    • In the figure given below,
    • JKLM
    • is a rectangle.
    • Find the values of x and y
  • x
    =
    40.1°
    ,
    y
    =
    49.9°
  • x
    =
    42.1°
    ,
    y
    =
    51.9°
  • x
    =
    41.1°
    ,
    y
    =
    50.9°
  • x
    =
    39.1°
    ,
    y
    =
    48.9°
  • x
    =
    38.1°
    ,
    y
    =
    47.9°