ICSE Board Practice

ICSE Grade IX - Mid-Point and Intercept Theorems
Question 1
1.
DEFG is a quadrilateral. R, S, T and U are mid-points of DE, EF, FG and GD respectively.If  DF = 28 cm and EG = 15 cm, find the measure of the sides of RSTU.
      • 17 cm
      • ,
      • 7.5 cm
      • ,
      • 17 cm
      • ,
      • 7.5 cm
      • 14 cm
      • ,
      • 5 cm
      • ,
      • 14 cm
      • ,
      • 5 cm
      • 15 cm
      • ,
      • 7.5 cm
      • ,
      • 15 cm
      • ,
      • 7.5 cm
      • 14 cm
      • ,
      • 6 cm
      • ,
      • 14 cm
      • ,
      • 6 cm
      • 14 cm
      • ,
      • 7.5 cm
      • ,
      • 14 cm
      • ,
      • 7.5 cm
Question 2
2.
    • In the given figure, △IJK is a triangle.
    • L
    • ,
    • M
    • &
    • N
    • are mid-points of
    • JK
    • ,
    • KI
    • &
    • IJ
    • respectively.
    • Given
    • LM = 9 cm
    • ,
    • MN = 9 cm
    • &
    • NL = 10 cm
    • ,
    • find the sides of the triangle.
      • 15 cm
      • ,
      • 18 cm
      • &
      • 20 cm
      • 18 cm
      • ,
      • 18 cm
      • &
      • 20 cm
      • 19 cm
      • ,
      • 18 cm
      • &
      • 20 cm
      • 18 cm
      • ,
      • 18 cm
      • &
      • 22 cm
      • 18 cm
      • ,
      • 17 cm
      • &
      • 20 cm
Question 3
3.
    • In the given figure
    • △DEF
    • ,
    • G
    • is the mid-point of
    •  
    •  


      DE
       
       
    • and
    •  
    •  


      GH
       
       
       


      EF
       
       
    • ,
    • then
    •  
    • HF
    • =
  • DH
  • DG
  • GE
  • DE
  • FD
Question 4
4.
    • 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  =
  • ∠FDA
  • ∠ABH
  • ∠FEH
  • ∠EHF
  • ∠DAF
Question 5
5.
    • In the given figure, FGHI is a parallelogram
    • such that
    • J
    • and
    • K
    • are mid-points of sides
    • FG
    • &
    • HI
    • .
    • FK
    • meets
    • GI
    • at
    • Q
    • and
    • HJ
    • meets
    • GI
    • at
    • R
    • . Given
    • GI
    • =
    • 15 cm
    • , find
    • QR
  • 7.00 cm
  • 4.00 cm
  • 5.00 cm
  • 3.00 cm
  • 6.00 cm
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.
    • ∠DAF  =
  • ∠CFA
  • ∠HFE
  • ∠EHF
  • ∠BHA
  • ∠AFD
Question 7
7.
    • In the given figure
    • △GHI
    • ,
    • J
    • is the mid-point of
    •  
    •  


      GH
       
       
    • and
    •  
    •  


      JK
       
       
       


      HI
       
       
    • ,
    • then
    •  
    • GK
    • =
  • IG
  • JH
  • GH
  • GJ
  • KI
Question 8
8.
    • In the given figure
    • △ABC
    • ,
    • D
    • is the mid-point of
    •  
    •  


      AB
       
       
    • and
    •  
    •  


      DE
       
       
       


      BC
       
       
    • ,
    • then
    •  
    • AD
    • =
  • CA

    2
  • BC

    2
  • AE
  • AB

    2
  • BC
Question 9
9.
    • In the given figure
    • △JKL
    • ,
    • M
    • is the mid-point of
    •  
    •  


      JK
       
       
    • and
    •  
    •  


      MN
       
       
       


      KL
       
       
    • ,
    • then
    •  
    • MK
    • =
  • NL
  • JN
  • LJ
  • JK
  • JM
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.
    • △FDA ∼
  • △ABH
  • △FEH
  • △ACF
  • △DCF
  • △DAE