ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Similarity
Question 1
1.
Which of the following are true?
a)
A sector is a polygonal region.
b)
A triangle is a polygonal region.
c)
A semi-circle is a polygonal region.
d)
A circle is a polygonal region.
e)
A square is a polygonal region.
  • {c,e}
  • {c,e,b}
  • {b,e}
  • {a,b}
  • {d,a,b}
Question 2
2.
In the given figure, ∠HIJ = 48.01°, find the value of y =
  • 41.99°
  • 40.99°
  • 43.99°
  • 42.99°
  • 39.99°
Question 3
3.
If the ratio of the bases of two triangles is J : K and the ratio of the corresponding heights is L : M , the ratio of their areas in the same order is
  • KL : JM
  • LM : JK
  • JL : KM
  • JM : KL
  • JK : LM
Question 4
4.
    • A vertical stick
    • 11 m
    • long casts a shadow of
    • 15 m
    • long on the ground.
    • At the same time, a tower casts the shadow
    • 120 m
    • long on the ground.
    • Find the height of the tower.
  • 87 m
  • 89 m
  • 90 m
  • 86 m
  • 88 m
Question 5
5.
    • In the given figure, △CDE, TU ∥ DE such that
    • area of
    •  
    • △CTU
    • = area of
    •  
    • TUED
    • . Find
    •  
    • CT
      CD
  • 1
    2

    √

    5
  • 1
  • 1
    2

    √

    2
  • 1
    2

    √

    -1
  • 1
    2
    4
    √

    2
Question 6
6.
A rectangle having an area 380.00 sq.cm is reduced such that the area of its image is 60.80 sq.cm. Find the scale factor.
  • 0.4
  • 2.4
  • 8.4
  • 7.4
  • 1.4
Question 7
7.
    • In the given figure, △ABC and △QRS are such that
    • ∠B
    • =
    • ∠R
    •  
    • and
    • AB
      QR
    • =
    • BC
      RS
    • .
    • Identify the property by which the two triangles are similar
  • SAS Similarity
  • SSS Similarity
  • AAA Similarity
  • not similar
Question 8
8.
    • In the given figure, DF is the angular bisector of
    • ∠D
    • &
    • ∠F
    • CD
    • =
    • 20 cm
    • ,
    • DE
    • =
    • 21 cm
    • and
    • EF
    • =
    • 25 cm
    • .
    • Find
    • FC
  • 25.81 cm
  • 22.81 cm
  • 21.81 cm
  • 24.81 cm
  • 23.81 cm
Question 9
9.
In the given figure, the area of the △EFG is x sq.cm. H,I,J are the mid-points of the sides FG , GE and EF respectively. The area of the △HIJ is
      • 1
        4
      • of area of △EFG
      • 1
        2
      • of area of △EFG
      • 3
        4
      • of area of △EFG
      • 1
        3
      • of area of △EFG
      • 2
        3
      • of area of △EFG
Question 10
10.
    • In the given figure, QR ∥ EF , and median DG bisects QR.
    • If  DF = 17 cm, DH = 5.96 cm and DR = 7.29 cm,  DG =
  • 13.90 cm
  • 12.90 cm
  • 15.90 cm
  • 11.90 cm
  • 14.90 cm