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 two similar triangles, if m = 15 cm, n = 19 cm, o = 16 cm, r = 9.6 cm, find p
  • 11.00 cm
  • 8.00 cm
  • 10.00 cm
  • 7.00 cm
  • 9.00 cm
Question 2
2.
    • In the given figure, the two circles touch each other internally.
    • Diameter
    • OB
    • passes through the centre of the smaller circle.
    • OX = 9 cm
    • ,
    • OY = 22 cm
    • and radius of the inner circle is
    • 5.6 cm
    • .
    • Find the radius of the outer circle.
  • 11.69 cm
  • 15.69 cm
  • 13.69 cm
  • 14.69 cm
  • 12.69 cm
Question 3
3.
    • A vertical stick
    • 16 m
    • long casts a shadow of
    • 14 m
    • long on the ground.
    • At the same time, a tower casts the shadow
    • 112 m
    • long on the ground.
    • Find the height of the tower.
  • 128 m
  • 130 m
  • 127 m
  • 129 m
  • 126 m
Question 4
4.
    • In the given figure, △BCD and △PQR are such that
    • ∠C
    • =
    • ∠Q
    •  
    • and
    • BC
      PQ
    • =
    • CD
      QR
    • .
    • Identify the property by which the two triangles are similar
  • SAS Similarity
  • SSS Similarity
  • not similar
  • AAA Similarity
Question 5
5.
In the given △CDE, FG ∥ DE. If  CF : FD = 11.25 cm : 6.75 cm  and  CE = 16 cm, GE =
  • 5.00 cm
  • 7.00 cm
  • 4.00 cm
  • 8.00 cm
  • 6.00 cm
Question 6
6.
In the given figure, the altitudes UE and FV of △DEF meet at T. ∠ETV  =
  • ∠FUT
  • ∠TVE
  • ∠TFU
  • ∠UTF
  • ∠VET
Question 7
7.
Identify the property by which the two given triangles are similar
  • SAS Similarity
  • not similar
  • SSS Similarity
  • AAA Similarity
Question 8
8.
    • In the given figure, FH is the angular bisector of
    • ∠F
    • &
    • ∠H
    • EF
    • =
    • 20 cm
    • ,
    • FG
    • =
    • 20 cm
    • and
    • GH
    • =
    • 23 cm
    • .
    • Find
    • HE
  • 25.00 cm
  • 22.00 cm
  • 24.00 cm
  • 21.00 cm
  • 23.00 cm
Question 9
9.
In the given figure, QR ∥ BC and AQ = 15 cm, AB = 25 cm and BC = 21 cm, find QR
  • 13.6 cm
  • 11.6 cm
  • 10.6 cm
  • 12.6 cm
  • 14.6 cm
Question 10
10.
In the given figure, △HIJ is right-angled at I. Also, IK ⟂ HJ. Which of the following are true?
a)
    • IJ
      2
    • =
    • JH
    • .
    • JK
b)
    • IJ
      2
    • =
    • HJ
    • .
    • HK
c)
    • HI
      2
    • =
    • JH
    • .
    • JK
d)
    • IK
      2
    • =
    • HK
    • .
    • KJ
e)
    • HI
      2
    • =
    • HJ
    • .
    • HK
  • {c,d}
  • {a,d,e}
  • {b,a,d}
  • {b,c,e}
  • {b,a}