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, RS ∥ DE , and median CF bisects RS.
    • If  CD = 18 cm, CF = 18 cm and CR = 6.75 cm,  RD =
  • 10.25 cm
  • 12.25 cm
  • 9.25 cm
  • 13.25 cm
  • 11.25 cm
Question 2
2.
In the given △IJK, LM ∥ JK. If  IL : LJ = 7.12 cm : 11.88 cm  and  IK = 20 cm, IM =
  • 6.50 cm
  • 7.50 cm
  • 9.50 cm
  • 5.50 cm
  • 8.50 cm
Question 3
3.
Identify the property by which the two given triangles are similar
  • not similar
  • AAA Similarity
  • SAS Similarity
  • SSS Similarity
Question 4
4.
In the given figure, △EFG & △NOP are similar triangles. If the ratio of the heights EH : NQ = 12 : 17, then the ratio of their areas is
  • 145
    sq.cm
    		:
    289
    sq.cm
  • 144
    sq.cm
    		:
    289
    sq.cm
  • 143
    sq.cm
    		:
    289
    sq.cm
  • 144
    sq.cm
    		:
    292
    sq.cm
  • 144
    sq.cm
    		:
    286
    sq.cm
Question 5
5.
In the given figure, given ∠IFG = ∠HFI, p = 8.44 cm, q = 10.56 cm and GH = 19 cm, find GI =
  • 6.44 cm
  • 7.44 cm
  • 10.44 cm
  • 9.44 cm
  • 8.44 cm
Question 6
6.
In the given figure, given ∠EBC = ∠DBE, x : y = 9 cm : 9 cm and p = 15 cm, find q =
  • 14.00 cm
  • 13.00 cm
  • 16.00 cm
  • 15.00 cm
  • 17.00 cm
Question 7
7.
In the given figure, the altitudes UF and GV of △EFG meet at T. △VFT ∼
  • △VFG
  • △TFG
  • △TVU
  • △UGF
  • △UGT
Question 8
8.
Identify the property by which the two given triangles are similar
  • AAA Similarity
  • SAS Similarity
  • not similar
  • SSS Similarity
Question 9
9.
    • A vertical stick
    • 13 m
    • long casts a shadow of
    • 16 m
    • long on the ground.
    • At the same time, a tower casts the shadow
    • 128 m
    • long on the ground.
    • Find the height of the tower.
  • 104 m
  • 102 m
  • 103 m
  • 105 m
  • 106 m
Question 10
10.
    • In the given figure, BCDE is a trapezium in which
    • BC ∥ DE
    • and the diagonals
    • CE
    • and
    • BD
    • intersect at
    • F
    • .
    • If
    •  
    • FB
    • =
    • (
      x
      +
      63
      		)
    • cm,
    • CF
    • =
    • (
      x
      +
      71
      		)
    • cm,
    • FD
    • =
    • (
      x
      +
      27
      		)
    • cm and
    • EF
    • =
    • (
      x
      +
      33
      		)
    • cm, find the value of x
  • (
    82
    ,
    82
    )
  • (
    83
    ,
    81
    )
  • (
    81
    ,
    81
    )
  • (
    81
    ,
    80
    )
  • (
    83
    ,
    83
    )