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


      KM
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • O
    • . Then
    • LO
    • =
  • (i)
    MO
  • (ii)
    KO
  • (iii)
    NK
  • (iv)
    NO
Question 2
2.
    • In rhombus
    • MNOP
    • , diagonals
    •  


      MO
       
       
    • and
    •  


      NP
       
       
    • intersect at
    • Q
    • . Then
    • ∠MQP
  • (i)
    ∠OQN
  • (ii)
    ∠PMN
  • (iii)
    ∠NQM
  • (iv)
    ∠PQO
Question 3
3.
    • In rhombus
    • BCDE
    • , diagonals
    •  


      BD
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • F
    • . Then
    • ∠DEF
  • (i)
    ∠EFD
  • (ii)
    ∠FCD
  • (iii)
    ∠BCF
  • (iv)
    ∠FEB
Question 4
4.
The opposite sides of the rhombus are
  • (i)
     


    OP
     
     
    &
     


    QR
     
     
    ,
     


    PQ
     
     
    &
     


    RO
     
     
  • (ii)
     


    OP
     
     
    &
     


    RS
     
     
    ,
     


    PR
     
     
    &
     


    SO
     
     
  • (iii)
     


    OQ
     
     
    &
     


    PR
     
     
    ,
     


    QP
     
     
    &
     


    RO
     
     
  • (iv)
     


    OQ
     
     
    &
     


    RP
     
     
    ,
     


    QR
     
     
    &
     


    PO
     
     
  • (v)
     


    OP
     
     
    &
     


    QS
     
     
    ,
     


    PQ
     
     
    &
     


    SO
     
     
Question 5
5.
    • In rhombus
    • IJKL
    • , diagonals
    •  


      IK
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • M
    • . Then
    • ∠MLI
  • (i)
    ∠IJM
  • (ii)
    ∠LMK
  • (iii)
    ∠MJK
  • (iv)
    ∠KLM
Question 6
6.
    • In rhombus
    • EFGH
    • , diagonals
    •  


      EG
       
       
    • and
    •  


      FH
       
       
    • intersect at
    • I
    • . Then
    • HE
  • (i)
    GH
  • (ii)
    FH
  • (iii)
    FG
  • (iv)
    EF
Question 7
7.
    • △MIJ
    • is an equilateral triangle in a square
    • IJKL
    • .
    • If
    • JL
    • and
    • MI
    • intersect at
    • N
    • ,
    • then find the value of x.
  • (i)
    74°
  • (ii)
    77°
  • (iii)
    75°
  • (iv)
    73°
  • (v)
    76°
Question 8
8.
    • In parallelogram
    • NOPQ
    • ,
    • diagonals
    •  


      OQ
       
       
    • and
    •  


      NP
       
       
    • intersect at
    • R
    • . Then
    • ∠OPQ
       
      =
  • (i)
    ∠NOP
  • (ii)
    ∠QNO
  • (iii)
    ∠PQN
  • (iv)
    ∠PQR
  • (v)
    ∠NOR
Question 9
9.
Name all quadrilaterals whose diagonals bisect each other
  • (i)
    parallelogram,square,rhombus,rectangle
  • (ii)
    square,parallelogram
  • (iii)
    square,kite
  • (iv)
    square,rectangle
  • (v)
    square,rhombus
Question 10
10.
The diagonals are equal in a
a)
parallelogram
b)
trapezium
c)
rectangle
d)
square
e)
rhombus
  • (i)
    {b,d}
  • (ii)
    {a,c}
  • (iii)
    {b,d,c}
  • (iv)
    {c,d}
  • (v)
    {e,a,c}
Question 11
11.
    • In rhombus
    • BCDE
    • , diagonals
    •  


      BD
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • F
    • . Then
    • DF
    • =
  • (i)
    BF
  • (ii)
    CF
  • (iii)
    EF
  • (iv)
    EB
Question 12
12.
    • In the given figure, EFGH is a parallelogram. Q is the mid-point of GH.
    • FQ
    • bisects
    • ∠F
    • . If x =
    • 52°
    • , find angle 'y'.
  • (i)
    38°
  • (ii)
    36°
  • (iii)
    40°
  • (iv)
    37°
  • (v)
    39°
Question 13
13.
The opposite angles of the rhombus are
  • (i)
    ∠L & ∠O , ∠M & ∠P
  • (ii)
    ∠L & ∠N , ∠M & ∠O
  • (iii)
    ∠L & ∠N , ∠M & ∠P
  • (iv)
    ∠L & ∠M , ∠N & ∠O
  • (v)
    ∠L & ∠O , ∠N & ∠M
Question 14
14.
Find the missing angle in the given trapezium
  • (i)
    106.96°
  • (ii)
    116.96°
  • (iii)
    111.96°
  • (iv)
    101.96°
  • (v)
    131.96°
Question 15
15.
    • In rhombus
    • ABCD
    • , diagonals
    •  


      AC
       
       
    • and
    •  


      BD
       
       
    • intersect at
    • E
    • . Then
    • ∠EBC
  • (i)
    ∠DEC
  • (ii)
    ∠CDE
  • (iii)
    ∠ABE
  • (iv)
    ∠EDA
Question 16
16.
The angles of the parallelogram are
  • (i)
    ∠F , ∠G , ∠I , ∠J
  • (ii)
    ∠F , ∠G , ∠I , ∠K
  • (iii)
    ∠F , ∠G , ∠H , ∠K
  • (iv)
    ∠F , ∠G , ∠H , ∠J
  • (v)
    ∠F , ∠G , ∠H , ∠I
Question 17
17.
    • In the figure given below,
    • MNOP
    • is a rhombus.
    • Find the values of x and y
  • (i)
    x
    =
    32.8°
    ,
    y
    =
    55.2°
  • (ii)
    x
    =
    33.8°
    ,
    y
    =
    56.2°
  • (iii)
    x
    =
    31.8°
    ,
    y
    =
    54.2°
  • (iv)
    x
    =
    34.8°
    ,
    y
    =
    57.2°
  • (v)
    x
    =
    35.8°
    ,
    y
    =
    58.2°
Question 18
18.
    • In parallelogram
    • PQRS
    • ,
    • diagonals
    •  


      QS
       
       
    • and
    •  


      PR
       
       
    • intersect at
    • T
    • . Then
    • SP
       
      =
  • (i)
    PQ
  • (ii)
    RS
  • (iii)
    PR
  • (iv)
    QR
  • (v)
    QS
Question 19
19.
Name all quadrilaterals whose opposite sides are equal
  • (i)
    square,kite
  • (ii)
    parallelogram,square,rhombus,rectangle
  • (iii)
    square,rectangle
  • (iv)
    square,parallelogram
  • (v)
    square,rhombus
Question 20
20.
    • In kite
    • MNOP
    • ,
    •  


      MO
       
       
    • and
    •  


      NP
       
       
    • are diagonals. Then
    • ∠MQN
    • =
  • (i)
    ∠OPN
  • (ii)
    ∠MQP
  • (iii)
    ∠MNO
  • (iv)
    ∠OPM
  • (v)
    ∠MPN
Question 21
21.
    • In rhombus
    • PQRS
    • , diagonals
    •  


      PR
       
       
    • and
    •  


      QS
       
       
    • intersect at
    • T
    • . Then
    • △TRS
  • (i)
    △TRQ
  • (ii)
    △SPQ
  • (iii)
    △TPQ
  • (iv)
    △TPS
Question 22
22.
    • In kite
    • HIJK
    • ,
    •  


      HJ
       
       
    • and
    •  


      IK
       
       
    • are diagonals. Then
    • ∠LJK
    • =
  • (i)
    ∠HLK
  • (ii)
    ∠KLJ
  • (iii)
    ∠KHL
  • (iv)
    ∠LJI
  • (v)
    ∠IHL
Question 23
23.
The opposite angles of the parallelogram are
  • (i)
    ∠H & ∠J , ∠I & ∠K
  • (ii)
    ∠H & ∠J , ∠I & ∠L
  • (iii)
    ∠H & ∠K , ∠J & ∠I
  • (iv)
    ∠H & ∠K , ∠I & ∠L
  • (v)
    ∠H & ∠I , ∠J & ∠K
Question 24
24.
A quadrilateral has three acute angles, each measuring 39°. What is the measure of its fourth angle?
  • (i)
    243.00°
  • (ii)
    241.00°
  • (iii)
    242.00°
  • (iv)
    244.00°
  • (v)
    245.00°
Question 25
25.
    • In kite
    • GHIJ
    • ,
    •  


      GI
       
       
    • and
    •  


      HJ
       
       
    • are diagonals. Then
    • △KHG
  • (i)
    △KIH
  • (ii)
    △KJG
  • (iii)
    △JHI
  • (iv)
    △JHG
  • (v)
    △KIJ
    Assignment Key

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