ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
    • In the given figure, RS ∥ GH , and median FI bisects RS.
    • If  FI = 15 cm, FJ = 7.5 cm and FS = 9.5 cm,  FH =
  • 18.00 cm
  • 17.00 cm
  • 20.00 cm
  • 19.00 cm
  • 21.00 cm
Question 2
2.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are equal.
b)
The corresponding sides are proportional.
c)
The corresponding angles are proportional.
d)
The corresponding sides are equal.
  • {a,b}
  • {c,b,a}
  • {c,d,a}
  • {d,b}
  • {c,a}
Question 3
3.
A model of a ship is made to a scale of 1 : 175. If the volume of the ship is 7133328125 cu.m, calculate the volume of the model ship.
  • 1301.00 cu.m
  • 1391.00 cu.m
  • 1581.00 cu.m
  • 1161.00 cu.m
  • 1331.00 cu.m
Question 4
4.
In the given figure, △DEF & △OPQ are similar triangles. If the ratio of the heights DG : OR = 14 : 19, then the ratio of their areas is
  • 197
    sq.cm
    		:
    361
    sq.cm
  • 195
    sq.cm
    		:
    361
    sq.cm
  • 196
    sq.cm
    		:
    361
    sq.cm
  • 196
    sq.cm
    		:
    364
    sq.cm
  • 196
    sq.cm
    		:
    358
    sq.cm
Question 5
5.
AB = 20.00 cm, BC = 19.00 cm are the measurements of a rectangular field of land ABCD on a map drawn to a scale of 1 : 19000. Calculate the diagonal distance of the field.
  • 4.24 km
  • 5.24 km
  • 7.24 km
  • 6.24 km
  • 3.24 km
Question 6
6.
A triangle having an area 87.75 sq.cm is enlarged such that the area of its image is 114.04 sq.cm. Find the scale factor.
  • 9.14
  • 1.14
  • 3.14
  • 0.14
  • 2.14
Question 7
7.
In the given figure, △LMN is isosceles right-angled at M and MO ⟂ NL. ∠LMN =
  • ∠OLM
  • ∠OMN
  • ∠LMO
  • ∠MOL
  • ∠MNO
Question 8
8.
In the given figure, ∠IJK = 43.68°, find the value of y =
  • 44.32°
  • 48.32°
  • 45.32°
  • 47.32°
  • 46.32°
Question 9
9.
Which of the following are true?
a)
If two figures are similar, then they are congruent too.
b)
Similar figures have same area.
c)
If two figures are congruent, then they are similar too.
d)
Similar and congruent are not synonymous.
e)
Congruent figures have same area.
  • {a,c,d}
  • {a,b,e}
  • {a,c}
  • {b,d}
  • {c,d,e}
Question 10
10.
    • In the given figure, △BCD and △UVW are such that
    • ∠C
    • =
    • ∠V
    •  
    • and
    •  
    • ∠D
    • =
    • ∠W
    • .
    • Identify the property by which the two triangles are similar
  • AAA Similarity
  • SSS Similarity
  • not similar
  • SAS Similarity