EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question 1
1.
The sides of the rectangle are
  • (i)
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QR
     
     
    ,
     


    RO
     
     
  • (ii)
     


    OQ
     
     
    ,
     


    QP
     
     
    ,
     


    PR
     
     
    ,
     


    RO
     
     
  • (iii)
     


    OP
     
     
    ,
     


    PQ
     
     
    ,
     


    QS
     
     
    ,
     


    SO
     
     
  • (iv)
     


    OQ
     
     
    ,
     


    QR
     
     
    ,
     


    RP
     
     
    ,
     


    PO
     
     
  • (v)
     


    OP
     
     
    ,
     


    PR
     
     
    ,
     


    RS
     
     
    ,
     


    SO
     
     
Question 2
2.
    • In rhombus
    • NOPQ
    • , diagonals
    •  


      NP
       
       
    • and
    •  


      OQ
       
       
    • intersect at
    • R
    • . Then
    • △PQN
  • (i)
    △OPQ
  • (ii)
    △RNO
  • (iii)
    △QNO
  • (iv)
    △NOP
Question 3
3.
    • In rhombus
    • KLMN
    • , diagonals
    •  


      KM
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • O
    • . Then
    • △NKL
  • (i)
    △KLM
  • (ii)
    △OKL
  • (iii)
    △LMN
  • (iv)
    △MNK
Question 4
4.
    • In parallelogram
    • ABCD
    • ,
    • diagonals
    •  


      BD
       
       
    • and
    •  


      AC
       
       
    • intersect at
    • E
    • . Then
    • △ABC
       
  • (i)
    △BCD
  • (ii)
    △CDE
  • (iii)
    △CDA
  • (iv)
    △ABE
  • (v)
    △DAB
Question 5
5.
Every rhombus is a
a)
parallelogram
b)
trapezium
c)
square
d)
triangle
e)
rectangle
  • (i)
    {a,b}
  • (ii)
    {d,b}
  • (iii)
    {e,c,a}
  • (iv)
    {c,a}
  • (v)
    {d,b,a}
Question 6
6.
The adjacent angles of the kite are
  • (i)
    ∠B & ∠C , ∠C & ∠E , ∠E & ∠F , ∠F & ∠B
  • (ii)
    ∠B & ∠D , ∠D & ∠E , ∠E & ∠C , ∠C & ∠B
  • (iii)
    ∠B & ∠D , ∠D & ∠C , ∠C & ∠E , ∠E & ∠B
  • (iv)
    ∠B & ∠C , ∠C & ∠D , ∠D & ∠F , ∠F & ∠B
  • (v)
    ∠B & ∠C , ∠C & ∠D , ∠D & ∠E , ∠E & ∠B
Question 7
7.
    • In kite
    • GHIJ
    • ,
    •  


      GI
       
       
    • and
    •  


      HJ
       
       
    • are diagonals. Then
    • ∠KIJ
    • =
  • (i)
    ∠JGK
  • (ii)
    ∠KIH
  • (iii)
    ∠HGK
  • (iv)
    ∠JKI
  • (v)
    ∠GKJ
Question 8
8.
The name of the parallelogram is
  • (i)
    BCDF
  • (ii)
    BDEC
  • (iii)
    BDCE
  • (iv)
    BCDE
  • (v)
    BCEF
Question 9
9.
    • In parallelogram
    • FGHI
    • ,
    • diagonals
    •  


      GI
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • J
    • . Then
    • △HIF
       
  • (i)
    △HIJ
  • (ii)
    △FGH
  • (iii)
    △FGJ
  • (iv)
    △IFG
  • (v)
    △GHI
Question 10
10.
    • In the figure given below,
    • GHIJ
    • is a rhombus.
    • Find the values of x and y
  • (i)
    x
    =
    33.78°
    ,
    y
    =
    60.22°
  • (ii)
    x
    =
    32.78°
    ,
    y
    =
    59.22°
  • (iii)
    x
    =
    30.78°
    ,
    y
    =
    57.22°
  • (iv)
    x
    =
    29.78°
    ,
    y
    =
    56.22°
  • (v)
    x
    =
    31.78°
    ,
    y
    =
    58.22°
Question 11
11.
Which of the following figures is a regular quadrilateral?
  • (i)
    square
  • (ii)
    trapezium
  • (iii)
    parallelogram
  • (iv)
    rectangle
  • (v)
    rhombus
Question 12
12.
The opposite sides of the square are
  • (i)
     


    IJ
     
     
    &
     


    KL
     
     
    ,
     


    JK
     
     
    &
     


    LI
     
     
  • (ii)
     


    IJ
     
     
    &
     


    LM
     
     
    ,
     


    JL
     
     
    &
     


    MI
     
     
  • (iii)
     


    IK
     
     
    &
     


    LJ
     
     
    ,
     


    KL
     
     
    &
     


    JI
     
     
  • (iv)
     


    IK
     
     
    &
     


    JL
     
     
    ,
     


    KJ
     
     
    &
     


    LI
     
     
  • (v)
     


    IJ
     
     
    &
     


    KM
     
     
    ,
     


    JK
     
     
    &
     


    MI
     
     
Question 13
13.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
  • (i)
    rectangle
  • (ii)
    rhombus
  • (iii)
    square
  • (iv)
    trapezium
  • (v)
    None of these
Question 14
14.
The opposite angles of the rhombus are
  • (i)
    ∠F & ∠H , ∠G & ∠J
  • (ii)
    ∠F & ∠G , ∠H & ∠I
  • (iii)
    ∠F & ∠H , ∠G & ∠I
  • (iv)
    ∠F & ∠I , ∠H & ∠G
  • (v)
    ∠F & ∠I , ∠G & ∠J
Question 15
15.
Name all quadrilaterals whose all sides are equal
  • (i)
    parallelogram,square,rhombus,rectangle
  • (ii)
    square,rectangle
  • (iii)
    rectangle,rhombus
  • (iv)
    square,rhombus
  • (v)
    square,parallelogram
Question 16
16.
    • In parallelogram
    • ABCD
    • ,
    • diagonals
    •  


      BD
       
       
    • and
    •  


      AC
       
       
    • intersect at
    • E
    • . Then
    • △BCD
       
  • (i)
    △ABE
  • (ii)
    △DAB
  • (iii)
    △CDE
  • (iv)
    △CDA
  • (v)
    △ABC
Question 17
17.
The angles of the trapezium are
  • (i)
    ∠B , ∠C , ∠D , ∠E
  • (ii)
    ∠B , ∠C , ∠D , ∠F
  • (iii)
    ∠B , ∠C , ∠E , ∠F
  • (iv)
    ∠B , ∠C , ∠D , ∠G
  • (v)
    ∠B , ∠C , ∠E , ∠G
Question 18
18.
    • In parallelogram
    • LMNO
    • ,
    • diagonals
    •  


      MO
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • P
    • . Then
    • ∠LMN
       
      =
  • (i)
    ∠NOL
  • (ii)
    ∠LMP
  • (iii)
    ∠OLM
  • (iv)
    ∠NOP
  • (v)
    ∠MNO
Question 19
19.
    • In rhombus
    • PQRS
    • , diagonals
    •  


      PR
       
       
    • and
    •  


      QS
       
       
    • intersect at
    • T
    • . Then
    • △TRS
  • (i)
    △TRQ
  • (ii)
    △TPQ
  • (iii)
    △SPQ
  • (iv)
    △TPS
Question 20
20.
The angles of the kite are
  • (i)
    ∠N , ∠O , ∠Q , ∠S
  • (ii)
    ∠N , ∠O , ∠P , ∠R
  • (iii)
    ∠N , ∠O , ∠P , ∠S
  • (iv)
    ∠N , ∠O , ∠P , ∠Q
  • (v)
    ∠N , ∠O , ∠Q , ∠R
Question 21
21.
In the given figure, DEFG is a quadrilateral. TG and TF are bisectors of ∠G & ∠F meeting at T. Find ∠FTG
  • (i)
    93.0°
  • (ii)
    92.0°
  • (iii)
    96.0°
  • (iv)
    94.0°
  • (v)
    95.0°
Question 22
22.
    • In the given figure, BCDE is a parallelogram. BD bisects ∠B & ∠D.
    • Given
    • BD = 12 cm
    • and
    • CE = 8 cm
    • , find
    • BC
  • (i)
    5.21 cm
  • (ii)
    8.21 cm
  • (iii)
    9.21 cm
  • (iv)
    6.21 cm
  • (v)
    7.21 cm
Question 23
23.
In the given figure, GHIJ is a parallelogram. The bisector of the angles G, H, I & J intersect at T, U, V & W to form a quadrilateral. Find ∠UVW
  • (i)
    92°
  • (ii)
    91°
  • (iii)
    88°
  • (iv)
    89°
  • (v)
    90°
Question 24
24.
In the given figure, DEFG is a parallelogram. DM and FN are perpendicular to the diagonal EG. Given ∠NFG = 36°, find ∠GED
  • (i)
    56°
  • (ii)
    52°
  • (iii)
    55°
  • (iv)
    53°
  • (v)
    54°
Question 25
25.
The adjacent sides of the quadrilateral are
  • (i)
     


    CD
     
     
    &
     


    DF
     
     
    ,
     


    DF
     
     
    &
     


    FG
     
     
    ,
     


    FG
     
     
    &
     


    GC
     
     
    ,
     


    GC
     
     
    &
     


    CD
     
     
  • (ii)
     


    CE
     
     
    &
     


    ED
     
     
    ,
     


    ED
     
     
    &
     


    DF
     
     
    ,
     


    DF
     
     
    &
     


    FC
     
     
    ,
     


    FC
     
     
    &
     


    CE
     
     
  • (iii)
     


    CD
     
     
    &
     


    DE
     
     
    ,
     


    DE
     
     
    &
     


    EF
     
     
    ,
     


    EF
     
     
    &
     


    FC
     
     
    ,
     


    FC
     
     
    &
     


    CD
     
     
  • (iv)
     


    CD
     
     
    &
     


    DE
     
     
    ,
     


    DE
     
     
    &
     


    EG
     
     
    ,
     


    EG
     
     
    &
     


    GC
     
     
    ,
     


    GC
     
     
    &
     


    CD
     
     
  • (v)
     


    CE
     
     
    &
     


    EF
     
     
    ,
     


    EF
     
     
    &
     


    FD
     
     
    ,
     


    FD
     
     
    &
     


    DC
     
     
    ,
     


    DC
     
     
    &
     


    CE
     
     
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (iii)
  •  4) (iii)
  •  5) (i)
  •  6) (v)
  •  7) (ii)
  •  8) (iv)
  •  9) (ii)
  •  10) (v)
  •  11) (i)
  •  12) (i)
  •  13) (iii)
  •  14) (iii)
  •  15) (iv)
  •  16) (ii)
  •  17) (i)
  •  18) (i)
  •  19) (iii)
  •  20) (iv)
  •  21) (iv)
  •  22) (v)
  •  23) (v)
  •  24) (v)
  •  25) (iii)