ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
    • In the given figure, ST ∥ JK , and median IL bisects ST.
    • If  IJ = 20 cm, IL = 20 cm and IS = 8 cm,  ML =
  • 13.00 cm
  • 12.00 cm
  • 14.00 cm
  • 10.00 cm
  • 11.00 cm
Question 2
2.
In the given figure, F and G are points on the sides CD and CE respectively of △CDE.For which of the following cases, FG ∥ DE
a)
CD = 17 cm, FD = 9.44 cm, CG = 10.89 cm and CE = 20 cm
b)
CD = 17 cm, CF = 9.56 cm, CE = 20 cm and GE = 11.11 cm
c)
CD = 17 cm, FD = 9.44 cm, CE = 20 cm and CG = 8.89 cm
d)
CF = 7.56 cm, FD = 9.44 cm, CG = 8.89 cm and GE = 11.11 cm
  • {c,d}
  • {b,d}
  • {a,c}
  • {a,d,c}
  • {a,b,c}
Question 3
3.
A triangle having an area 70.99 sq.cm is enlarged by a scale factor of 1.29. Find the area of its image.
  • 120.14 sq.cm
  • 103.14 sq.cm
  • 96.14 sq.cm
  • 142.14 sq.cm
  • 118.14 sq.cm
Question 4
4.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A circle is a polygonal region.
c)
A triangle is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A square is a polygonal region.
  • {b,e}
  • {c,e}
  • {a,c}
  • {d,a,c}
  • {b,e,c}
Question 5
5.
    • In the given figure, △GHI and △PQR are such that
    • ∠H
    • =
    • ∠Q
    •  
    • and
    •  
    • ∠I
    • =
    • ∠R
    • .
    • Identify the property by which the two triangles are similar
  • not similar
  • SAS Similarity
  • SSS Similarity
  • AAA Similarity
Question 6
6.
The measurements of a triangular field △ABC are BC = 15 cm, AB = 6 cm and ∠ABC = 90° on a map drawn to a scale of 1 : 16000. Calculate the actual length of CA in km.
  • 3.58 km
  • 4.58 km
  • 0.58 km
  • 1.58 km
  • 2.58 km
Question 7
7.
In the given figure, QR ∥ HI and GI = 21 cm, QR = 15 cm and HI = 25 cm, find GR
  • 13.6 cm
  • 12.6 cm
  • 14.6 cm
  • 11.6 cm
  • 10.6 cm
Question 8
8.
In the given figure, EFG is a triangle and 'O' is a point inside △EFG. The angular bisector of ∠FOE, ∠GOF & ∠EOG meet EF, FG & GE at H, I & J respectively . Then
  • EH . FI . GJ = HI . IJ . JH
  • EH . FI . GJ = OE . OF . OG
  • EH . FI . GJ = EF . FG . GE
  • EH . FI . GJ = OH . OI . OJ
  • EH . FI . GJ = HF . IG . JE
Question 9
9.
In the given two similar triangles, if n = 16 cm, o = 20 cm, p = 16 cm, q = 9.6 cm, find r
  • 14.00 cm
  • 12.00 cm
  • 11.00 cm
  • 10.00 cm
  • 13.00 cm
Question 10
10.
In the given figure, the altitudes SD and ET of △CDE meet at R. ∠DRT  =
  • ∠SRE
  • ∠ESR
  • ∠RTD
  • ∠TDR
  • ∠RES