ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity of Triangles
Question 1
1.
Identify the property by which the two given triangles are similar
  • AAA Similarity
  • not similar
  • SAS Similarity
  • SSS Similarity
Question 2
2.
In the given figure, △EFG is right-angled at F. Also, FH ⟂ EG. Which of the following are true?
a)
    • FH
      2
    • =
    • EH
    • .
    • HG
b)
    • FG
      2
    • =
    • EG
    • .
    • EH
c)
    • EF
      2
    • =
    • GE
    • .
    • GH
d)
    • EF
      2
    • =
    • EG
    • .
    • EH
e)
    • FG
      2
    • =
    • GE
    • .
    • GH
  • {b,a}
  • {b,a,d}
  • {c,d}
  • {b,c,e}
  • {a,d,e}
Question 3
3.
The perimeters of two similar triangles are 31 cm and 23 cm respectively. If one side of the first triangle is 10 cm, find the length of the corresponding side of the second triangle.
  • 5.42 cm
  • 7.42 cm
  • 9.42 cm
  • 8.42 cm
  • 6.42 cm
Question 4
4.
In the given △EFG, HI ∥ FG. If  EH : HF = 8.5 cm : 8.5 cm  and  EG = 15 cm, IG =
  • 6.50 cm
  • 8.50 cm
  • 7.50 cm
  • 5.50 cm
  • 9.50 cm
Question 5
5.
In the given figure, ∠IJL = 49.35°, find the value of x =
  • 38.65°
  • 39.65°
  • 40.65°
  • 41.65°
  • 42.65°
Question 6
6.
In the given figure, PQ ∥ FG and EQ = 13.8 cm, EG = 23 cm and PQ = 13.8 cm, find FG
  • 25.0 cm
  • 24.0 cm
  • 22.0 cm
  • 23.0 cm
  • 21.0 cm
Question 7
7.
In the given figure, the altitudes QJ and KR of △IJK meet at P. △PJK ∼
  • △QKJ
  • △RJK
  • △PRQ
  • △RJP
  • △QKP
Question 8
8.
In the given figure, △ABC is isosceles right-angled at B and BD ⟂ CA. ∠C =
  • ∠E
  • ∠F
  • ∠B
  • ∠D
  • ∠A
Question 9
9.
In the given figure, points I , J and K are the mid-points of sides GH, HF and FG of △FGH. Which of the following are true?
a)
    • Area of
    • △FGH
    • =
    • 1
      3
    • area of
    • △IJK
b)
    • Area of trapezium
    • GHJK
    • is
    • 1
      4
    • the area of
    • △FGH
c)
All four small triangles have equal areas
d)
Area of △FGH = 4 times area of △IJK
e)
Area of trapezium GHJK is thrice the area of △FKJ
  • {a,b,e}
  • {c,d,e}
  • {a,c,d}
  • {b,d}
  • {a,c}
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.
    • ∠CFA  =
  • ∠HFE
  • ∠EHF
  • ∠BHA
  • ∠DAF
  • ∠AFD