ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity of Triangles
Question 1
1.
In the given figure, HIJK is a trapezium where OH = 14 cm , OI = 14 cm and OJ = 5 cm . Find OK =
  • 4 cm
  • 3 cm
  • 5 cm
  • 7 cm
  • 6 cm
Question 2
2.
Identify the property by which the two given triangles are similar
  • not similar
  • SSS Similarity
  • AAA Similarity
  • SAS Similarity
Question 3
3.
    • In the given figure, ABCD is a trapezium in which
    • AB ∥ CD
    • and the diagonals
    • BD
    • and
    • AC
    • intersect at
    • E
    • .
    • If
    •  
    • EA
    • =
    • (
      2
      x
      +
      36
      		)
    • cm,
    • BE
    • =
    • (
      2
      x
      +
      43
      		)
    • cm,
    • EC
    • =
    • (
      2
      x
      +
      18
      		)
    • cm and
    • DE
    • =
    • (
      2
      x
      +
      24
      		)
    • cm, find the value of x
  • (
    46
    ,
    46
    )
  • (
    48
    ,
    45
    )
  • (
    45
    ,
    45
    )
  • (
    47
    ,
    47
    )
  • (
    45
    ,
    44
    )
Question 4
4.
LMNO is a square and △LMP is an equilateral triangle. Also, △LNQ is an equilateral triangle. If area of △LMP is 'a' sq.units, then the area of △LNQ is

      • √

        3
      • a sq.units
      • 2a sq.units
      • a
        2
      • sq.units
      • 1
        2
      • a sq.units
      • 1
        2

        √

        3
      • a sq.units
Question 5
5.
In the given figure, ∠EBC = ∠DBE and BE ∥ FD and BC = 16 cm, CE = 8 cm and ED = 8 cm. Find BF
  • 14.00 cm
  • 16.00 cm
  • 15.00 cm
  • 17.00 cm
  • 18.00 cm
Question 6
6.
In the given figure, △FGH is right-angled at G. Also, GI ⟂ FH. If  IH = 13.9 cm, GI = 13.08 cm, then find FI.
  • 14.30 cm
  • 13.30 cm
  • 12.30 cm
  • 11.30 cm
  • 10.30 cm
Question 7
7.
In the given figure, given ∠HEF = ∠GEH, x : y = 9.19 cm : 9.81 cm and p = 15 cm, find q =
  • 15.00 cm
  • 18.00 cm
  • 14.00 cm
  • 17.00 cm
  • 16.00 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 ∼
  • △FEH
  • △DAE
  • △DCF
  • △FDA
  • △ABH
Question 9
9.
    • In the given figure, TU ∥ FG , and median EH bisects TU.
    • If  EF = 16 cm, EH = 16.1 cm and ET = 8 cm,  IH =
  • 10.05 cm
  • 8.05 cm
  • 6.05 cm
  • 7.05 cm
  • 9.05 cm
Question 10
10.
In the given figure, given ∠GDE = ∠FDG, p = 7.73 cm, q = 9.27 cm and EF = 17 cm, find EG =
  • 6.73 cm
  • 8.73 cm
  • 7.73 cm
  • 9.73 cm
  • 5.73 cm