ICSE Board Practice

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ICSE Grade IX - Mid-Point and Intercept Theorems
Question 1
1.
    • 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.
    • ∠DAF  =
  • ∠AFD
  • ∠BHA
  • ∠CFA
  • ∠EHF
  • ∠HFE
Question 2
2.
    • In the given figure
    • △ABC
    • ,
    • D
    • is the mid-point of
    •  
    •  

      AB
       
       
    • and
    •  
    •  

      DE
       
       
      ∥
       

      BC
       
       
    • ,
    • then
    •  
    • AD
    • =
  • BC
    2
  • AE
  • CA
    2
  • BC
  • AB
    2
Question 3
3.
    • In the given figure
    • △GHI
    • ,
    • J
    • is the mid-point of
    •  
    •  

      GH
       
       
    • and
    •  
    •  

      JK
       
       
      ∥
       

      HI
       
       
    • ,
    • then
    •  
    • GJ
    • =
  • IG
  • JH
  • GK
  • GH
  • KI
Question 4
4.
In the given figure, the area of the △ABC is x sq.cm. D,E,F are the mid-points of the sides BC , CA and AB respectively. The area of the △DEF is
      • 1
        2
      • of area of △ABC
      • 1
        3
      • of area of △ABC
      • 1
        4
      • of area of △ABC
      • 2
        3
      • of area of △ABC
      • 3
        4
      • of area of △ABC
Question 5
5.
    • 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.
    • ∠FDA  =
  • ∠DAF
  • ∠EHF
  • ∠ACF
  • ∠ABH
  • ∠FEH
Question 6
6.
In the given figure, DEFG is a trapezium. H and I are mid-points of DG and EF.Given HI = 12.5 cm and FG = 8 cm, find DE
  • 18.0 cm
  • 15.0 cm
  • 19.0 cm
  • 17.0 cm
  • 16.0 cm
Question 7
7.
CDEF is a quadrilateral. T, U, V and W are mid-points of CD, DE, EF and FC respectively.If  CE = 31 cm and DF = 15 cm, find the measure of the sides of TUVW.
      • 15.5 cm
      • ,
      • 5 cm
      • ,
      • 15.5 cm
      • ,
      • 5 cm
      • 15.5 cm
      • ,
      • 6 cm
      • ,
      • 15.5 cm
      • ,
      • 6 cm
      • 16 cm
      • ,
      • 7.5 cm
      • ,
      • 16 cm
      • ,
      • 7.5 cm
      • 15.5 cm
      • ,
      • 7.5 cm
      • ,
      • 15.5 cm
      • ,
      • 7.5 cm
      • 18 cm
      • ,
      • 7.5 cm
      • ,
      • 18 cm
      • ,
      • 7.5 cm
Question 8
8.
From the given figure and values, find x
  • (
    9
    ,
    (
    -2
    7
    		 )
    )
  • (
    7
    ,
    (
    -2
    7
    		 )
    )
  • (
    7
    ,
    (
    -2
    5
    		 )
    )
  • (
    5
    7
    ,
    9
    )
  • (
    8
    ,
    (
    -2
    9
    		 )
    )
Question 9
9.
    • In the given figure
    • △IJK
    • ,
    • L
    • is the mid-point of
    •  
    •  

      IJ
       
       
    • and
    •  
    •  

      LM
       
       
      ∥
       

      JK
       
       
    • ,
    • then
    •  
    • IM
    • =
  • IL
  • JK
  • IJ
    2
  • KI
    2
  • JK
    2
Question 10
10.
    • 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  =
  • ∠AFD
  • ∠FAC
  • ∠HFE
  • ∠FDA
  • ∠FEH