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 ∥ IJ , and median HK bisects RS.
    •  
    • △HKJ ∼
  • △HRL
  • △HIK
  • △HIJ
  • △HLS
  • △IJH
Question 2
2.
Identify the property by which the two given triangles are similar
  • SAS Similarity
  • AAA Similarity
  • SSS Similarity
  • not similar
Question 3
3.
In the given figure, ∠KIJ = 38.43°, find the value of y =
  • 53.57°
  • 49.57°
  • 52.57°
  • 50.57°
  • 51.57°
Question 4
4.
In the given figure, points M , N and O are the mid-points of sides KL, LJ and JK of △JKL. Which of the following are true?
a)
△NML ∼ △JKL
b)
△JON ∼ △JKL
c)
△MNO ∼ △JKL
d)
△MON ∼ △JKL
e)
△OKM ∼ △JKL
  • {d,b}
  • {d,e,a}
  • {a,b,c,e}
  • {d,c}
  • {d,a}
Question 5
5.
If the ratio of the bases of two triangles is M : N and the ratio of the corresponding heights is O : P , the ratio of their areas in the same order is
  • MN : OP
  • OP : MN
  • MO : NP
  • MP : NO
  • NO : MP
Question 6
6.
    • In the given figure, △EFG ∼ △MNO and FG = 10 cm , NO = 14 cm and
    • EH
    • =
    • 10.69 cm
    • ,
    • find the area of the
    • △MNO
  • 103.75 sq.cm
  • 104.75 sq.cm
  • 106.75 sq.cm
  • 102.75 sq.cm
  • 105.75 sq.cm
Question 7
7.
    • In the given figure, △BCD ∼ △MNO and BC = 11 cm, MN = 15.4 cm.
    • If the area of the
    • △MNO
    • =
    • 118.29 sq.cm
    • , find the area of the
    • △BCD
  • 60.35 sq.cm
  • 59.35 sq.cm
  • 62.35 sq.cm
  • 58.35 sq.cm
  • 61.35 sq.cm
Question 8
8.
In the given figure, given ∠GDE = ∠FDG, x : y = 9.71 cm : 10.29 cm and p = 17 cm, find q =
  • 16.00 cm
  • 18.00 cm
  • 17.00 cm
  • 20.00 cm
  • 19.00 cm
Question 9
9.
In the given figure, DEF is a triangle and 'O' is a point inside △DEF. The angular bisector of ∠EOD, ∠FOE & ∠DOF meet DE, EF & FD at G, H & I respectively . Then
  • DG . EH . FI = DE . EF . FD
  • DG . EH . FI = GH . HI . IG
  • DG . EH . FI = OD . OE . OF
  • DG . EH . FI = GE . HF . ID
  • DG . EH . FI = OG . OH . OI
Question 10
10.
In the given figure, △CDE & △MNO are similar triangles. If the ratio of the heights CF : MP = 11 : 15, then the ratio of their areas is
  • 120
    sq.cm
    		:
    225
    sq.cm
  • 121
    sq.cm
    		:
    228
    sq.cm
  • 121
    sq.cm
    		:
    225
    sq.cm
  • 121
    sq.cm
    		:
    222
    sq.cm
  • 122
    sq.cm
    		:
    225
    sq.cm