ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Quadrilaterals
Question 1
1.
Name all quadrilaterals whose all sides are equal
  • square,parallelogram
  • square,rhombus
  • rectangle,rhombus
  • square,rectangle
  • square,kite
Question 2
2.
In the adjoining figure, NOPQ is a square. A line segment QS cuts the side OP at S and the diagonal NP at R such that ∠QRP = 101.31° and ∠RSP = x°. Find the value of x .
  • 56.31°
  • 58.31°
  • 57.31°
  • 55.31°
  • 54.31°
Question 3
3.
    • In parallelogram
    • KLMN
    • ,
    • diagonals
    •  

      LN
       
       
    • and
    •  

      KM
       
       
    • intersect at
    • O
    • . Then
    • KO
       
      =
  • NO
  • LO
  • MO
  • LM
  • NK
Question 4
4.
In the given figure, FGHI is a parallelogram. FQ and HR are perpendicular to the diagonal GI. Given ∠RHI = 39°, find ∠IGF
  • 52°
  • 50°
  • 49°
  • 51°
  • 53°
Question 5
5.
The vertices of the parallelogram are
  • G , H , J , L
  • G , H , I , K
  • G , H , I , L
  • G , H , J , K
  • G , H , I , J
Question 6
6.
    • In the adjoining figure,
    • FGHI
    • is a parallelogram in which
    • ∠IFH = 34.45°
    • ,
    • ∠HFG = 37.36°
    • ,
    • ∠IJH = 85.12°
    • . Calculate
    • ∠GHF
  • 35.45°
  • 34.45°
  • 33.45°
  • 32.45°
  • 36.45°
Question 7
7.
Three angles of a quadrilateral are equal and the fourth angle measure 55.84°. What is the measure of each of the equal angles?
  • 100.39°
  • 101.39°
  • 102.39°
  • 99.39°
  • 103.39°
Question 8
8.
    • In the adjoining figure,
    • ABCD
    • is a kite in which
    • AB
    • =
    • DA
    • ,
    • BC
    • =
    • CD
    • and the diagonals
    •  

      BD
       
       
    • and
    •  

      AC
       
       
    • intersect at
    •  
    • O
    • .
    • If ∠OCD = 53.13° and ∠ABO = 52.25°, find the measure of each of the angles marked a,b,c,d and e.
  • a = 36.87° , b = 38.75° , c = 52.25° , d = 36.87° , e = 53.13°
  • a = 36.87° , b = 37.75° , c = 52.25° , d = 36.87° , e = 53.13°
  • a = 36.87° , b = 38.75° , c = 51.25° , d = 38.87° , e = 53.13°
  • a = 36.87° , b = 38.75° , c = 51.25° , d = 36.87° , e = 53.13°
  • a = 36.87° , b = 38.75° , c = 51.25° , d = 38.87° , e = 51.13°
Question 9
9.
    • In the adjoining figure,
    • ABCD
    • is a rhombus whose diagonals intersect at
    • O
    • .
    • If
    • ∠OAB
    • :
    • ∠ABO
    • =
    • 3 : 12
    • ,
    • find the angles of
    • △OAB
    • .
  • O
    =
    90°
    ,
    A
    =
    16°
    ,
    B
    =
    74°
  • O
    =
    92°
    ,
    A
    =
    18°
    ,
    B
    =
    70°
  • O
    =
    90°
    ,
    A
    =
    18°
    ,
    B
    =
    72°
  • O
    =
    88°
    ,
    A
    =
    18°
    ,
    B
    =
    74°
  • O
    =
    88°
    ,
    A
    =
    20°
    ,
    B
    =
    72°
Question 10
10.
Which of the following properties apply for a parallelogram ?
a)
Opposite sides are equal
b)
Opposite angles are equal
c)
Diagonals are equal to each other
d)
Adjacent angles are supplementary
e)
Diagonals bisect each other
f)
Diagonals are perpendicular to each other
  • {c,f,d}
  • {c,a}
  • {a,b,d,e}
  • {c,e,a}
  • {f,b}