ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
    • In the given figure, RS ∥ CD , and median BE bisects RS.
    • If  BE = 17.2 cm, BF = 8.6 cm and BS = 10 cm,  BD =
  • 19.00 cm
  • 20.00 cm
  • 21.00 cm
  • 18.00 cm
  • 22.00 cm
Question 2
2.
In the given figure, given ∠DAB = ∠CAD, p = 8.97 cm, q = 8.03 cm and BC = 17 cm, find BD =
  • 8.97 cm
  • 6.97 cm
  • 10.97 cm
  • 7.97 cm
  • 9.97 cm
Question 3
3.
In the given figure, the altitudes SE and FT of △DEF meet at R. ∠RFS  =
  • ∠RTE
  • ∠FSR
  • ∠TER
  • ∠SRF
  • ∠ERT
Question 4
4.
From the given figure and values, find x
  • (
    1
    3
    ,
    12
    )
  • (
    12
    ,
    (
    -2
    3
    		 )
    )
  • (
    10
    ,
    (
    -2
    3
    		 )
    )
  • (
    10
    ,
    -2
    )
  • (
    11
    ,
    (
    -2
    5
    		 )
    )
Question 5
5.
Identify the property by which the two given triangles are similar
  • AAA Similarity
  • not similar
  • SSS Similarity
  • SAS Similarity
Question 6
6.
    • In the given figure, PQ ∥ HI , and median GJ bisects PQ.
    • If  GH = 19 cm, GP = 9.5 cm and GK = 9.5 cm,  GJ =
  • 18.00 cm
  • 19.00 cm
  • 17.00 cm
  • 20.00 cm
  • 21.00 cm
Question 7
7.
In the given △IJK, LM ∥ JK. If  IL : LJ = 8.5 cm : 8.5 cm  and  IK = 19 cm, MK =
  • 9.50 cm
  • 8.50 cm
  • 11.50 cm
  • 7.50 cm
  • 10.50 cm
Question 8
8.
    • In the given figure, GHIJ is a trapezium in which
    • GH ∥ IJ
    • and the diagonals
    • HJ
    • and
    • GI
    • intersect at
    • K
    • .
    • If
    •  
    • KG
    • =
    • (
      12
      x
      +
      4
      		)
    • cm,
    • HK
    • =
    • (
      7
      x
      +
      5
      		)
    • cm,
    • KI
    • =
    • (
      4
      x
      +
      8
      		)
    • cm and
    • JK
    • =
    • (
      2
      x
      +
      10
      		)
    • cm, find the value of x
  • (
    13
    ,
    0
    )
  • (
    2
    ,
    15
    )
  • (
    13
    ,
    -1
    )
  • (
    15
    ,
    0
    )
  • (
    14
    ,
    1
    )
Question 9
9.
    • 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 ∼
  • △FDA
  • △ACF
  • △FEH
  • △DAE
  • △DCF
Question 10
10.
    • In the given figure,
    •  
    • EF
    • ∥
    • CD
    • .
    • If
    •  
    • BE
    • =
    • 6.1 cm
    • ,
    • BC
    • =
    • 12.2 cm
    • and
    • BD
    • =
    • 15.8 cm
    • , find
    • BF
  • 6.90 cm
  • 9.90 cm
  • 8.90 cm
  • 5.90 cm
  • 7.90 cm