ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Similarity of Triangles
Question 1
1.
    • The ratio of the bases of two triangles ABC and DEF is
    • 7
      		:
      9
    • .
    • If the triangles are equal in area, then the ratio of their heights is
  • 7
    		:
    6
  • 8
    		:
    9
  • 7
    		:
    11
  • 6
    		:
    9
  • 9
    		:
    7
Question 2
2.
In the given figure, given ∠IFG = ∠HFI, x : y = 9.73 cm : 8.27 cm and p = 20 cm, find q =
  • 15.00 cm
  • 16.00 cm
  • 18.00 cm
  • 17.00 cm
  • 19.00 cm
Question 3
3.
In the given figure, the altitudes NB and CO of △ABC meet at M. ∠MCN  =
  • ∠MOB
  • ∠BMO
  • ∠NMC
  • ∠CNM
  • ∠OBM
Question 4
4.
In the given figure, IJKL is a trapezium where OI = 15 cm , OJ = 15 cm and OK = 5 cm . Find OL =
  • 7 cm
  • 4 cm
  • 6 cm
  • 5 cm
  • 3 cm
Question 5
5.
In the given figure, E and F are points on the sides BC and BD respectively of △BCD.For which of the following cases, EF ∥ CD
a)
BC = 15 cm, BE = 9.5 cm, BD = 17 cm and FD = 8.5 cm
b)
BE = 7.5 cm, EC = 7.5 cm, BF = 8.5 cm and FD = 8.5 cm
c)
BC = 15 cm, EC = 7.5 cm, BD = 17 cm and BF = 8.5 cm
d)
BC = 15 cm, EC = 7.5 cm, BF = 10.5 cm and BD = 17 cm
  • {a,b}
  • {a,d,b}
  • {a,c,b}
  • {b,c}
  • {d,c}
Question 6
6.
The perimeters of two similar triangles are 26 cm and 18 cm respectively. If one side of the first triangle is 15 cm, find the length of the corresponding side of the second triangle.
  • 12.38 cm
  • 11.38 cm
  • 10.38 cm
  • 9.38 cm
  • 8.38 cm
Question 7
7.
    • In the given figure, TU ∥ IJ , and median HK bisects TU.
    • If  HI = 20 cm, HT = 12.5 cm and HL = 12.5 cm,  HK =
  • 21.00 cm
  • 22.00 cm
  • 20.00 cm
  • 18.00 cm
  • 19.00 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.
    • ∠ABH  =
  • ∠FEH
  • ∠DAF
  • ∠FDA
  • ∠ACF
  • ∠EHF
Question 9
9.
In the given figure, ∠DEF = 50.13°, find the value of y =
  • 37.87°
  • 40.87°
  • 39.87°
  • 38.87°
  • 41.87°
Question 10
10.
In the given figure, points G , H and I are the mid-points of sides EF, FD and DE of △DEF. Which of the following are true?
a)
All four small triangles have equal areas
b)
Area of △DEF = 4 times area of △GHI
c)
    • Area of
    • △DEF
    • =
    • 1
      3
    • area of
    • △GHI
d)
    • Area of trapezium
    • EFHI
    • is
    • 1
      4
    • the area of
    • △DEF
e)
Area of trapezium EFHI is thrice the area of △DIH
  • {c,a}
  • {c,d,e}
  • {c,a,b}
  • {d,b}
  • {a,b,e}