ICSE Board Practice

ICSE Grade VIII - Quadrilaterals
Question 1
1.
In the given figure, ABCD is a parallelogram. AO and CP are perpendicular to the diagonal BD. Given ∠PCD = 23°, find ∠DBA
  • 69°
  • 68°
  • 66°
  • 65°
  • 67°
Question 2
2.
The diagonals do not divide the quadrilateral into congruent triangles in which figure?
  • rectangle
  • square
  • rhombus
  • parallelogram
  • trapezium
Question 3
3.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
  • 90°
  • 92°
  • 91°
  • 88°
  • 89°
Question 4
4.
The opposite angles of the parallelogram are
  • ∠D & ∠G , ∠F & ∠E
  • ∠D & ∠F , ∠E & ∠G
  • ∠D & ∠F , ∠E & ∠H
  • ∠D & ∠E , ∠F & ∠G
  • ∠D & ∠G , ∠E & ∠H
Question 5
5.
Find the missing angle in the given quadrilateral
  • 58.55°
  • 63.55°
  • 83.55°
  • 68.55°
  • 53.55°
Question 6
6.
    • In parallelogram
    • PQRS
    • ,
    • diagonals
    •  


      QS
       
       
    • and
    •  


      PR
       
       
    • intersect at
    • T
    • . Then
    • ∠SPQ
       
      =
  • ∠PQR
  • ∠RSP
  • ∠RST
  • ∠PQT
  • ∠QRS
Question 7
7.
The vertices of the parallelogram are
  • C , D , E , F
  • C , D , F , G
  • C , D , F , H
  • C , D , E , G
  • C , D , E , H
Question 8
8.
Which of the following properties apply for a rhombus ?
a)
Opposite angles are equal
b)
Adjacent angles are equal
c)
Opposite sides are parallel
d)
Opposite sides are equal
e)
Adjacent sides are equal
f)
Diagonals are equal
g)
Diagonals bisect each other
  • {b,e,g}
  • {b,a}
  • {f,c}
  • {a,c,d,e,g}
  • {b,f,d}
Question 9
9.
    • In rhombus
    • BCDE
    • , diagonals
    •  


      BD
       
       
    • and
    •  


      CE
       
       
    • intersect at
    • F
    • . Then
    • BF
    • =
  • CF
  • DF
  • EF
  • EB
Question 10
10.
    • In kite
    • OPQR
    • ,
    •  


      OQ
       
       
    • and
    •  


      PR
       
       
    • are diagonals. Then
    • PQ
    • =
  • RO
  • QR
  • OQ
  • OP
  • PR