EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question 1
1.
How many diagonals does a quadrilateral have?
  • (i)
    3
  • (ii)
    4
  • (iii)
    0
  • (iv)
    2
  • (v)
    1
Question 2
2.
    • In parallelogram
    • HIJK
    • ,
    • diagonals
    •  


      IK
       
       
    • and
    •  


      HJ
       
       
    • intersect at
    • L
    • . Then
    • △KHI
       
  • (i)
    △IJK
  • (ii)
    △JKL
  • (iii)
    △HIL
  • (iv)
    △JKH
  • (v)
    △HIJ
Question 3
3.
Name all quadrilaterals whose all angles are equal
  • (i)
    parallelogram,square,rhombus,rectangle
  • (ii)
    square,rectangle
  • (iii)
    square,rhombus
  • (iv)
    square,kite
  • (v)
    rectangle,rhombus
Question 4
4.
Which of the following figures is a regular quadrilateral?
  • (i)
    parallelogram
  • (ii)
    rhombus
  • (iii)
    square
  • (iv)
    rectangle
  • (v)
    trapezium
Question 5
5.
Three angles of a quadrilateral are equal and the fourth angle measure 104.47°. What is the measure of each of the equal angles?
  • (i)
    84.18°
  • (ii)
    87.18°
  • (iii)
    85.18°
  • (iv)
    83.18°
  • (v)
    86.18°
Question 6
6.
Which of the following statements are true?
a)
Every square is a rhombus
b)
Every parallelogram is a trapezium
c)
Every rhombus is a parallelogram
d)
Every square is a rectangle
e)
Every parallelogram is a rectangle
f)
Every rectangle is a parallelogram
g)
Every rectangle is a rhombus
  • (i)
    {e,a}
  • (ii)
    {e,d,f}
  • (iii)
    {a,b,c,d,f}
  • (iv)
    {e,g,c}
  • (v)
    {g,b}
Question 7
7.
    • In the given figure, DEFG is a parallelogram. DF bisects ∠D & ∠F.
    • Given
    • DF = 12 cm
    • and
    • EG = 8 cm
    • , find
    • DE
  • (i)
    8.21 cm
  • (ii)
    9.21 cm
  • (iii)
    6.21 cm
  • (iv)
    5.21 cm
  • (v)
    7.21 cm
Question 8
8.
    • In rhombus
    • FGHI
    • , diagonals
    •  


      FH
       
       
    • and
    •  


      GI
       
       
    • intersect at
    • J
    • . Then
    • GH
  • (i)
    HI
  • (ii)
    GI
  • (iii)
    IF
  • (iv)
    FG
Question 9
9.
Name all quadrilaterals whose opposite sides are equal
  • (i)
    parallelogram,square,rhombus,rectangle
  • (ii)
    square,kite
  • (iii)
    rectangle,rhombus
  • (iv)
    square,rectangle
  • (v)
    square,parallelogram
Question 10
10.
    • In rhombus
    • KLMN
    • , diagonals
    •  


      KM
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • O
    • . Then
    • ∠MNK
    • =
  • (i)
    ∠LMN
  • (ii)
    ∠NKL
  • (iii)
    ∠KLO
  • (iv)
    ∠KLM
Question 11
11.
Identify the figure below
  • (i)
    quadrilateral
  • (ii)
    octagon
  • (iii)
    hexagon
  • (iv)
    pentagon
  • (v)
    heptagon
Question 12
12.
    • In parallelogram
    • ABCD
    • ,
    • diagonals
    •  


      BD
       
       
    • and
    •  


      AC
       
       
    • intersect at
    • E
    • . Then
    •  


      DA
       
       
       
  • (i)
     


    AB
     
     
  • (ii)
     


    AC
     
     
  • (iii)
     


    BD
     
     
  • (iv)
     


    CD
     
     
  • (v)
     


    BC
     
     
Question 13
13.
    • In rhombus
    • JKLM
    • , diagonals
    •  


      JL
       
       
    • and
    •  


      KM
       
       
    • intersect at
    • N
    • . Then
    • MN
    • =
  • (i)
    JN
  • (ii)
    KN
  • (iii)
    LN
  • (iv)
    MJ
Question 14
14.
In which of the following are the diagonals equal ?
  • (i)
    rhombus
  • (ii)
    trapezium
  • (iii)
    rectangle
  • (iv)
    parallelogram
  • (v)
    None of these
Question 15
15.
    • In rhombus
    • DEFG
    • , diagonals
    •  


      DF
       
       
    • and
    •  


      EG
       
       
    • intersect at
    • H
    • . Then
    • ∠HEF
  • (i)
    ∠FGH
  • (ii)
    ∠DEH
  • (iii)
    ∠GHF
  • (iv)
    ∠HGD
Question 16
16.
    • In parallelogram
    • LMNO
    • ,
    • diagonals
    •  


      MO
       
       
    • and
    •  


      LN
       
       
    • intersect at
    • P
    • . Then
    • ∠OLM
       
      =
  • (i)
    ∠LMP
  • (ii)
    ∠LMN
  • (iii)
    ∠NOP
  • (iv)
    ∠NOL
  • (v)
    ∠MNO
Question 17
17.
JKLM is a rhombus in which ∠J = 125° .
 


KM
 
 
is the diagonal. Then △JKL is
  • (i)
    an isosceles triangle
  • (ii)
    None of these
  • (iii)
    an equilateral triangle
  • (iv)
    a scalene triangle
  • (v)
    an obtuse angled triangle
Question 18
18.
The vertices of the quadrilateral are
  • (i)
    A , B , C , E
  • (ii)
    A , B , D , F
  • (iii)
    A , B , C , F
  • (iv)
    A , B , D , E
  • (v)
    A , B , C , D
Question 19
19.
Sum of the interior angles in a quadrilateral is
  • (i)
    375°
  • (ii)
    370°
  • (iii)
    360°
  • (iv)
    390°
  • (v)
    365°
Question 20
20.
    • In the adjoining figure,
    • KLMN
    • is a rectangle.
    • If
    • ∠MKL = 46.74°
    • , find
    • ∠MOL
  • (i)
    95.48°
  • (ii)
    91.48°
  • (iii)
    92.48°
  • (iv)
    94.48°
  • (v)
    93.48°
Question 21
21.
    • In parallelogram
    • JKLM
    • ,
    • diagonals
    •  


      KM
       
       
    • and
    •  


      JL
       
       
    • intersect at
    • N
    • . Then
    • ∠KLM
       
      =
  • (i)
    ∠MJK
  • (ii)
    ∠JKN
  • (iii)
    ∠LMN
  • (iv)
    ∠LMJ
  • (v)
    ∠JKL
Question 22
22.
In the adjoining figure, LMNO is a square. A line segment OQ cuts the side MN at Q and the diagonal LN at P such that ∠OPN = 108.16° and ∠PQN = x°. Find the value of x .
  • (i)
    62.16°
  • (ii)
    63.16°
  • (iii)
    61.16°
  • (iv)
    64.16°
  • (v)
    65.16°
Question 23
23.
    • In the adjoining figure,
    • DEFG
    • is a parallelogram in which
    • ∠GDF = 80.17°
    • ,
    • ∠FDE = 64.23°
    • ,
    • ∠GHF = 100.37°
    • . Calculate
    • ∠GEF
  • (i)
    21.20°
  • (ii)
    22.20°
  • (iii)
    20.20°
  • (iv)
    18.20°
  • (v)
    19.20°
Question 24
24.
    • In kite
    • MNOP
    • ,
    •  


      MO
       
       
    • and
    •  


      NP
       
       
    • are diagonals. Then
    • PM
    • =
  • (i)
    MN
  • (ii)
    NP
  • (iii)
    NO
  • (iv)
    OP
  • (v)
    MO
Question 25
25.
Which of the following properties apply for a trapezium ?
  • (i)
    One pair of opposite sides are parallel
  • (ii)
    Diagonals are perpendicular to each other
  • (iii)
    Diagonals bisect each other
  • (iv)
    Both adjacent angles are obtuse
  • (v)
    Adjacent angles are supplementary
    Assignment Key

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