ICSE Board Practice

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ICSE Grade IX - Mid-Point and Intercept Theorems
Question 1
1.
CDEF is a quadrilateral. P, Q, R and S are mid-points of CD, DE, EF and FC respectively.If  CE = 30 cm and DF = 17 cm, find the measure of the sides of PQRS.
      • 18 cm
      • ,
      • 8.5 cm
      • ,
      • 18 cm
      • ,
      • 8.5 cm
      • 15 cm
      • ,
      • 7 cm
      • ,
      • 15 cm
      • ,
      • 7 cm
      • 15 cm
      • ,
      • 6 cm
      • ,
      • 15 cm
      • ,
      • 6 cm
      • 15 cm
      • ,
      • 8.5 cm
      • ,
      • 15 cm
      • ,
      • 8.5 cm
      • 16 cm
      • ,
      • 8.5 cm
      • ,
      • 16 cm
      • ,
      • 8.5 cm
Question 2
2.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠HAB  =
  • ∠HFE
  • ∠FAC
  • ∠FEH
  • ∠AFD
  • ∠FDA
Question 3
3.
In the given figure, the area of the △DEF is x sq.cm. G,H,I are the mid-points of the sides EF , FD and DE respectively. The area of the △GHI is
      • 1
        2
      • of area of △DEF
      • 3
        4
      • of area of △DEF
      • 2
        3
      • of area of △DEF
      • 1
        4
      • of area of △DEF
      • 1
        3
      • of area of △DEF
Question 4
4.
    • In the given figure, △BCD is a triangle.
    • E
    • ,
    • F
    • &
    • G
    • are mid-points of
    • CD
    • ,
    • DB
    • &
    • BC
    • respectively.
    • Given
    • EF = 9 cm
    • ,
    • FG = 10 cm
    • &
    • GE = 10 cm
    • ,
    • find the sides of the triangle.
      • 19 cm
      • ,
      • 20 cm
      • &
      • 20 cm
      • 16 cm
      • ,
      • 20 cm
      • &
      • 20 cm
      • 18 cm
      • ,
      • 20 cm
      • &
      • 20 cm
      • 18 cm
      • ,
      • 20 cm
      • &
      • 22 cm
      • 18 cm
      • ,
      • 19 cm
      • &
      • 20 cm
Question 5
5.
    • In the given figure
    • △GHI
    • ,
    • J
    • is the mid-point of
    •  
    •  

      GH
       
       
    • and
    •  
    •  

      JK
       
       
      ∥
       

      HI
       
       
    • ,
    • then
    •  
    • KI
    • =
  • GK
  • GH
  • JH
  • IG
  • GJ
Question 6
6.
In the given figure, DEFG is a parallelogram such that Q is the mid-point of DE and  DE = 2GD. Find ∠GQF
  • 90°
  • 89°
  • 92°
  • 91°
  • 88°
Question 7
7.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 27 cm and AP = 11 cm. Find PB
  • 16.00 cm
  • 14.00 cm
  • 17.00 cm
  • 18.00 cm
  • 15.00 cm
Question 8
8.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠ACF  =
  • ∠EHF
  • ∠FEH
  • ∠FDA
  • ∠ABH
  • ∠DAF
Question 9
9.
    • In the given figure, DEFG is a parallelogram
    • such that
    • H
    • and
    • I
    • are mid-points of sides
    • DE
    • &
    • FG
    • .
    • DI
    • meets
    • EG
    • at
    • P
    • and
    • FH
    • meets
    • EG
    • at
    • Q
    • . Given
    • EG
    • =
    • 20 cm
    • , find
    • EQ
  • 4.67 cm
  • 7.67 cm
  • 5.67 cm
  • 8.67 cm
  • 6.67 cm
Question 10
10.
    • In the given figure
    • △JKL
    • ,
    • M
    • is the mid-point of
    •  
    •  

      JK
       
       
    • and
    •  
    •  

      MN
       
       
      ∥
       

      KL
       
       
    • ,
    • then
    •  
    • JN
    • =
  • KL
    2
  • LJ
    2
  • JM
  • KL
  • JK
    2