ICSE Board Practice

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ICSE Grade IX - Mid-Point and Intercept Theorems
Question 1
1.
BCDE is a quadrilateral. T, U, V and W are mid-points of BC, CD, DE and EB respectively.If  BD = 29 cm and CE = 18 cm, find the measure of the sides of TUVW.
      • 14.5 cm
      • ,
      • 6 cm
      • ,
      • 14.5 cm
      • ,
      • 6 cm
      • 14.5 cm
      • ,
      • 8 cm
      • ,
      • 14.5 cm
      • ,
      • 8 cm
      • 14.5 cm
      • ,
      • 9 cm
      • ,
      • 14.5 cm
      • ,
      • 9 cm
      • 16 cm
      • ,
      • 9 cm
      • ,
      • 16 cm
      • ,
      • 9 cm
      • 15 cm
      • ,
      • 9 cm
      • ,
      • 15 cm
      • ,
      • 9 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.
    • △ABH ∼
  • △DCF
  • △FDA
  • △DAE
  • △FEH
  • △ACF
Question 3
3.
    • In the given figure, CDEF is a parallelogram
    • such that
    • G
    • and
    • H
    • are mid-points of sides
    • CD
    • &
    • EF
    • .
    • CH
    • meets
    • DF
    • at
    • S
    • and
    • EG
    • meets
    • DF
    • at
    • T
    • . Given
    • DF
    • =
    • 20 cm
    • , find
    • DT
  • 7.67 cm
  • 4.67 cm
  • 5.67 cm
  • 6.67 cm
  • 8.67 cm
Question 4
4.
    • In the given figure
    • △JKL
    • ,
    • M
    • is the mid-point of
    •  
    •  

      JK
       
       
    • and
    •  
    •  

      MN
       
       
      ∥
       

      KL
       
       
    • ,
    • then
    •  
    • JM
    • =
  • KL
  • KL
    2
  • JK
    2
  • JN
  • LJ
    2
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.
    • ∠CFA  =
  • ∠EHF
  • ∠HFE
  • ∠AFD
  • ∠BHA
  • ∠DAF
Question 6
6.
    • 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.
    • ∠HFE  =
  • ∠FEH
  • ∠FAC
  • ∠FDA
  • ∠AFD
  • ∠HAB
Question 7
7.
    • In the given figure
    • △HIJ
    • ,
    • K
    • is the mid-point of
    •  
    •  

      HI
       
       
    • and
    •  
    •  

      KL
       
       
      ∥
       

      IJ
       
       
    • ,
    • then
    •  
    • HK
    • =
  • LJ
  • JH
  • KI
  • HL
  • HI
Question 8
8.
    • In the given figure
    • △EFG
    • ,
    • H
    • is the mid-point of
    •  
    •  

      EF
       
       
    • and
    •  
    •  

      HI
       
       
      ∥
       

      FG
       
       
    • ,
    • then
    •  
    • IG
    • =
  • GE
  • HF
  • EF
  • EI
  • EH
Question 9
9.
In the given figure, GHIJ is a parallelogram such that T is the mid-point of GH and  GH = 2JG. Find ∠JTI
  • 91°
  • 90°
  • 92°
  • 88°
  • 89°
Question 10
10.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm and AP = 9 cm. Find PB
  • 13.00 cm
  • 12.00 cm
  • 11.00 cm
  • 15.00 cm
  • 14.00 cm