EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
The name of the quadrilateral is
  • (i)
    CEFD
  • (ii)
    CDEG
  • (iii)
    CEDF
  • (iv)
    CDEF
  • (v)
    CDFG
Question 2
2.
    • In rhombus
    • PQRS
    • , diagonals
    •  


      PR
       
       
    • and
    •  


      QS
       
       
    • intersect at
    • T
    • . Then
    • SP
  • (i)
    QR
  • (ii)
    RS
  • (iii)
    PQ
  • (iv)
    QS
Question 3
3.
The quadrilateral whose diagonals are equal and are perpendicular bisectors is a
  • (i)
    rectangle
  • (ii)
    square
  • (iii)
    parallelogram
  • (iv)
    trapezium
  • (v)
    rhombus
Question 4
4.
Which of the following have point symmetry ?
a)
quadrilateral
b)
rectangle
c)
parallelogram
d)
rhombus
e)
trapezium
f)
square
  • (i)
    {b,c,d,f}
  • (ii)
    {a,f,b}
  • (iii)
    {a,b}
  • (iv)
    {a,e,d}
  • (v)
    {e,c}
Question 5
5.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • △JHG
  • (i)
    △JFI
  • (ii)
    △JHI
  • (iii)
    △JFG
  • (iv)
    △IFG
Question 6
6.
    • In rhombus
    • EFGH
    • , diagonals
    •  


      EG
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • I
    • . Then
    • ∠IHE
  • (i)
    ∠HIG
  • (ii)
    ∠EFI
  • (iii)
    ∠GHI
  • (iv)
    ∠IFG
Question 7
7.
    • In rhombus
    • LMNO
    • , diagonals
    •  


      LN
       
       
    • and
    •  


      MO
       
       
    • intersect at
    • P
    • . Then
    •  


      OL
       
       
  • (i)
     


    MO
     
     
  • (ii)
     


    MN
     
     
  • (iii)
     


    NO
     
     
  • (iv)
     


    LM
     
     
Question 8
8.
In the given figure, BCDE is a rhombus such that ∠C = 120°. Then △BCE is
  • (i)
    Equilateral triangle
  • (ii)
    Isosceles triangle
  • (iii)
    Obtuse angled triangle
  • (iv)
    Right angled triangle
Question 9
9.
    • In the figure given below,
    • DEFG
    • is a rectangle.
    • Find the values of x and y
  • (i)
    x
    =
    48.12°
    ,
    y
    =
    43.88°
  • (ii)
    x
    =
    47.12°
    ,
    y
    =
    42.88°
  • (iii)
    x
    =
    49.12°
    ,
    y
    =
    44.88°
  • (iv)
    x
    =
    46.12°
    ,
    y
    =
    41.88°
  • (v)
    x
    =
    45.12°
    ,
    y
    =
    40.88°
Question 10
10.
The adjacent sides of the quadrilateral are
  • (i)
     


    MO
     
     
    &
     


    OP
     
     
    ,
     


    OP
     
     
    &
     


    PN
     
     
    ,
     


    PN
     
     
    &
     


    NM
     
     
    ,
     


    NM
     
     
    &
     


    MO
     
     
  • (ii)
     


    MO
     
     
    &
     


    ON
     
     
    ,
     


    ON
     
     
    &
     


    NP
     
     
    ,
     


    NP
     
     
    &
     


    PM
     
     
    ,
     


    PM
     
     
    &
     


    MO
     
     
  • (iii)
     


    MN
     
     
    &
     


    NO
     
     
    ,
     


    NO
     
     
    &
     


    OP
     
     
    ,
     


    OP
     
     
    &
     


    PM
     
     
    ,
     


    PM
     
     
    &
     


    MN
     
     
  • (iv)
     


    MN
     
     
    &
     


    NP
     
     
    ,
     


    NP
     
     
    &
     


    PQ
     
     
    ,
     


    PQ
     
     
    &
     


    QM
     
     
    ,
     


    QM
     
     
    &
     


    MN
     
     
  • (v)
     


    MN
     
     
    &
     


    NO
     
     
    ,
     


    NO
     
     
    &
     


    OQ
     
     
    ,
     


    OQ
     
     
    &
     


    QM
     
     
    ,
     


    QM
     
     
    &
     


    MN
     
     
Question 11
11.
    • In rhombus
    • MNOP
    • , diagonals
    •  


      MO
       
       
    • and
    •  


      NP
       
       
    • intersect at
    • Q
    • . Then
    • MQ
    • =
  • (i)
    PQ
  • (ii)
    OQ
  • (iii)
    NQ
  • (iv)
    PM
Question 12
12.
    • In rhombus
    • ABCD
    • , diagonals
    •  


      AC
       
       
    • and
    •  


      BD
       
       
    • intersect at
    • E
    • . Then
    • ∠DEC
  • (i)
    ∠BEA
  • (ii)
    ∠DAB
  • (iii)
    ∠AED
  • (iv)
    ∠CEB
Question 13
13.
    • In kite
    • NOPQ
    • ,
    •  


      NP
       
       
    • and
    •  


      OQ
       
       
    • are diagonals. Then
    • △RON
  • (i)
    △QOP
  • (ii)
    △QON
  • (iii)
    △RQN
  • (iv)
    △RPQ
  • (v)
    △RPO
Question 14
14.
    • In the adjoining figure,
    • J
    • is a point in the interior of
    • ∠LHM
    • .
    • If
    •  
    • JI
    • HL
    • and
    • JK
    • HM
    • and
    • ∠LHM = 40°
    • ,
    • find the measure of x .
  • (i)
    139°
  • (ii)
    138°
  • (iii)
    140°
  • (iv)
    141°
  • (v)
    142°
Question 15
15.
    • In rhombus
    • DEFG
    • , diagonals
    •  


      DF
       
       
    • and
    •  


      EG
       
       
    • intersect at
    • H
    • . Then
    • ∠DEF
    • =
  • (i)
    ∠EFG
  • (ii)
    ∠DEH
  • (iii)
    ∠FGD
  • (iv)
    ∠GDE
Question 16
16.
    • In the given figure,
    • FGHI
    • is a kite whose diagonals intersect at
    • J
    • .
    • If
    • ∠IFG = 61.68°
    • and
    • ∠GHI = 106.26°
    • , calculate
    • ∠JIF
    • and
    • ∠JGH
    • .
  • (i)
    x
    =
    57.16°
    ,
    y
    =
    34.87°
  • (ii)
    x
    =
    58.16°
    ,
    y
    =
    35.87°
  • (iii)
    x
    =
    59.16°
    ,
    y
    =
    36.87°
  • (iv)
    x
    =
    61.16°
    ,
    y
    =
    38.87°
  • (v)
    x
    =
    60.16°
    ,
    y
    =
    37.87°
Question 17
17.
    • In rhombus
    • NOPQ
    • , diagonals
    •  


      NP
       
       
    • and
    •  


      OQ
       
       
    • intersect at
    • R
    • . Then
    • ∠ROP
  • (i)
    ∠PQR
  • (ii)
    ∠RQN
  • (iii)
    ∠QRP
  • (iv)
    ∠NOR
Question 18
18.
Two adjacent angles of a parallelogram OPQR are in the ratio 2 : 10. Find the measure of each of its angles.
  • (i)
    O
    =
    29°
    ,
    P
    =
    148°
    ,
    Q
    =
    31°
    ,
    R
    =
    152°
  • (ii)
    O
    =
    32°
    ,
    P
    =
    149°
    ,
    Q
    =
    28°
    ,
    R
    =
    151°
  • (iii)
    O
    =
    28°
    ,
    P
    =
    152°
    ,
    Q
    =
    29°
    ,
    R
    =
    151°
  • (iv)
    O
    =
    31°
    ,
    P
    =
    149°
    ,
    Q
    =
    32°
    ,
    R
    =
    148°
  • (v)
    O
    =
    30°
    ,
    P
    =
    150°
    ,
    Q
    =
    30°
    ,
    R
    =
    150°
Question 19
19.
Which of the following is a regular polygon with four sides?
  • (i)
    rhombus
  • (ii)
    square
  • (iii)
    parallelogram
  • (iv)
    rectangle
  • (v)
    trapezium
Question 20
20.
    • In rhombus
    • CDEF
    • , diagonals
    •  


      CE
       
       
    • and
    •  


      DF
       
       
    • intersect at
    • G
    • . Then
    • ∠FCG
  • (i)
    ∠CGF
  • (ii)
    ∠GEF
  • (iii)
    ∠DEG
  • (iv)
    ∠GCD
Question 21
21.
    • In rhombus
    • BCDE
    • , diagonals
    •  


      BD
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • F
    • . Then
    • ∠DFC
  • (i)
    ∠EBC
  • (ii)
    ∠BFE
  • (iii)
    ∠CFB
  • (iv)
    ∠EFD
Question 22
22.
Identify the figure below
  • (i)
    kite
  • (ii)
    angle
  • (iii)
    circle
  • (iv)
    rhombus
  • (v)
    triangle
Question 23
23.
Name all quadrilaterals whose all angles are equal
  • (i)
    square,parallelogram
  • (ii)
    square,rhombus
  • (iii)
    square,kite
  • (iv)
    square,rectangle
  • (v)
    rectangle,rhombus
Question 24
24.
    • In kite
    • CDEF
    • ,
    •  


      CE
       
       
    • and
    •  


      DF
       
       
    • are diagonals. Then
    • FC
    • =
  • (i)
    CE
  • (ii)
    DF
  • (iii)
    EF
  • (iv)
    CD
  • (v)
    DE
Question 25
25.
Identify the figure below
  • (i)
    trapezium
  • (ii)
    square
  • (iii)
    angle
  • (iv)
    parallelogram
  • (v)
    rhombus
    Assignment Key

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