EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
    • In rhombus
    • ABCD
    • , diagonals
    •  


      AC
       
       
    • and
    •  


      BD
       
       
    • intersect at
    • E
    • . Then
    • ∠CDA
    • =
  • (i)
    ∠DAB
  • (ii)
    ∠ABE
  • (iii)
    ∠BCD
  • (iv)
    ∠ABC
Question 2
2.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • ∠GHJ
  • (i)
    ∠IFJ
  • (ii)
    ∠FJI
  • (iii)
    ∠JFG
  • (iv)
    ∠JHI
Question 3
3.
Which of the following are true?
a)
A parallelogram is a square
b)
A rectangle is a square
c)
A square is a rhombus
d)
A rhombus is a square
e)
A square is a rectangle
  • (i)
    {c,e}
  • (ii)
    {a,c}
  • (iii)
    {d,a,c}
  • (iv)
    {b,e}
  • (v)
    {b,e,c}
Question 4
4.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are perpendicular to each other
b)
Opposite angles are equal
c)
Opposite sides are equal
d)
Diagonals bisect each other
e)
Diagonals are equal to each other
f)
Adjacent angles are supplementary
  • (i)
    {a,f,b}
  • (ii)
    {a,e,d}
  • (iii)
    {e,c}
  • (iv)
    {b,c,d,f}
  • (v)
    {a,b}
Question 5
5.
Find the missing angle in the given quadrilateral
  • (i)
    65.24°
  • (ii)
    70.24°
  • (iii)
    90.24°
  • (iv)
    75.24°
  • (v)
    60.24°
Question 6
6.
    • In the figure given below,
    • IJKL
    • is a rhombus.
    • Find the values of x and y
  • (i)
    x
    =
    37.52°
    ,
    y
    =
    54.48°
  • (ii)
    x
    =
    35.52°
    ,
    y
    =
    52.48°
  • (iii)
    x
    =
    34.52°
    ,
    y
    =
    51.48°
  • (iv)
    x
    =
    36.52°
    ,
    y
    =
    53.48°
  • (v)
    x
    =
    38.52°
    ,
    y
    =
    55.48°
Question 7
7.
If ABCD is an isosceles trapezium, ∠D =
  • (i)
    ∠A
  • (ii)
    90°
  • (iii)
    ∠C
  • (iv)
    ∠B
Question 8
8.
    • In rhombus
    • ABCD
    • , diagonals
    •  


      AC
       
       
    • and
    •  


      BD
       
       
    • intersect at
    • E
    • . Then
    • ∠AED
  • (i)
    ∠DEC
  • (ii)
    ∠CEB
  • (iii)
    ∠BEA
  • (iv)
    ∠DAB
Question 9
9.
In which of the following are the diagonals equal ?
  • (i)
    rhombus
  • (ii)
    None of these
  • (iii)
    rectangle
  • (iv)
    trapezium
  • (v)
    parallelogram
Question 10
10.
The diagonals of the quadrilateral are
  • (i)
     


    DG
     
     
    ,
     


    CE
     
     
  • (ii)
     


    EF
     
     
    ,
     


    CD
     
     
  • (iii)
     


    ED
     
     
    ,
     


    CF
     
     
  • (iv)
     


    DF
     
     
    ,
     


    CE
     
     
  • (v)
     


    DG
     
     
    ,
     


    CF
     
     
Question 11
11.
    • In kite
    • DEFG
    • ,
    •  


      DF
       
       
    • and
    •  


      EG
       
       
    • are diagonals. Then
    • ∠GDH
    • =
  • (i)
    ∠HFG
  • (ii)
    ∠EDH
  • (iii)
    ∠HFE
  • (iv)
    ∠GHF
  • (v)
    ∠DHG
Question 12
12.
    • In parallelogram
    • FGHI
    • ,
    • diagonals
    •  


      GI
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • J
    • . Then
    •  


      GH
       
       
       
  • (i)
     


    HI
     
     
  • (ii)
     


    IF
     
     
  • (iii)
     


    GI
     
     
  • (iv)
     


    FG
     
     
  • (v)
     


    FH
     
     
Question 13
13.
    • In rhombus
    • EFGH
    • , diagonals
    •  


      EG
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • I
    • . Then
    •  


      FG
       
       
  • (i)
     


    GH
     
     
  • (ii)
     


    HE
     
     
  • (iii)
     


    FH
     
     
  • (iv)
     


    EF
     
     
Question 14
14.
    • In the given figure, FGHI is a parallelogram. FH bisects ∠F & ∠H.
    • Given
    • FH = 12 cm
    • and
    • GI = 8 cm
    • , find
    • FG
  • (i)
    5.21 cm
  • (ii)
    8.21 cm
  • (iii)
    9.21 cm
  • (iv)
    7.21 cm
  • (v)
    6.21 cm
Question 15
15.
Identify the figure below
  • (i)
    parallelogram
  • (ii)
    circle
  • (iii)
    kite
  • (iv)
    rectangle
  • (v)
    angle
Question 16
16.
    • In the figure given below,
    • ABCD
    • is a rectangle.
    • Find the values of x and y
  • (i)
    x
    =
    48.64°
    ,
    y
    =
    39.36°
  • (ii)
    x
    =
    51.64°
    ,
    y
    =
    42.36°
  • (iii)
    x
    =
    47.64°
    ,
    y
    =
    38.36°
  • (iv)
    x
    =
    50.64°
    ,
    y
    =
    41.36°
  • (v)
    x
    =
    49.64°
    ,
    y
    =
    40.36°
Question 17
17.
In the given figure, FGHI is a rhombus. Given x = 58°, find the value of 'y'.
  • (i)
    30°
  • (ii)
    31°
  • (iii)
    32°
  • (iv)
    34°
  • (v)
    33°
Question 18
18.
Find the missing angle in the given parallelogram
  • (i)
    112.47°
  • (ii)
    122.47°
  • (iii)
    137.47°
  • (iv)
    117.47°
  • (v)
    107.47°
Question 19
19.
    • In rhombus
    • HIJK
    • , diagonals
    •  


      HJ
       
       
    • and
    •  


      IK
       
       
    • intersect at
    • L
    • . Then
    •  


      KH
       
       
  • (i)
     


    JK
     
     
  • (ii)
     


    HI
     
     
  • (iii)
     


    IJ
     
     
  • (iv)
     


    IK
     
     
Question 20
20.
    • In parallelogram
    • JKLM
    • ,
    • diagonals
    •  


      KM
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • N
    • . Then
    • ∠JKL
       
      =
  • (i)
    ∠JKN
  • (ii)
    ∠MJK
  • (iii)
    ∠LMN
  • (iv)
    ∠LMJ
  • (v)
    ∠KLM
Question 21
21.
    • In kite
    • JKLM
    • ,
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • are diagonals. Then
    • KL
    • =
  • (i)
    LM
  • (ii)
    JL
  • (iii)
    MJ
  • (iv)
    KM
  • (v)
    JK
Question 22
22.
Name all quadrilaterals whose all angles are equal
  • (i)
    parallelogram,square,rhombus,rectangle
  • (ii)
    square,rhombus
  • (iii)
    square,rectangle
  • (iv)
    square,kite
  • (v)
    rectangle,rhombus
Question 23
23.
Name all quadrilaterals whose all angles are right angles
  • (i)
    square,parallelogram
  • (ii)
    square,kite
  • (iii)
    parallelogram,square,rhombus,rectangle
  • (iv)
    square,rectangle
  • (v)
    rectangle,rhombus
Question 24
24.
    • In rhombus
    • JKLM
    • , diagonals
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • N
    • . Then
    • △JKL
  • (i)
    △MJK
  • (ii)
    △LMJ
  • (iii)
    △NJK
  • (iv)
    △KLM
Question 25
25.
    • In rhombus
    • JKLM
    • , diagonals
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • N
    • . Then
    • △NLK
  • (i)
    △NJK
  • (ii)
    △NJM
  • (iii)
    △MJK
  • (iv)
    △NLM
    Assignment Key

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