SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Similar Triangles
Question 1
1.
Which of the following are true?
a)
Similarity is reflexive.
b)
Similarity is transitive.
c)
Similarity is anti symmetric.
d)
Similarity is symmetric.
  • {c,a}
  • {a,b,d}
  • {c,a,b}
  • {c,d}
  • {c,b}
Question 2
2.
In the given figure, △EFG is isosceles with EF = EG and FH ⟂ EG. Then
      • FH
        2
      • −
      • EH
        2
      • = 2
      • GH
      • .
      • EH
      • FH
        2
      • +
      • EH
        2
      • = 2
      • GH
      • .
      • EH
      • FH
        2
      • −
      • GH
        2
      • = 2
      • GH
      • .
      • EH
      • FH
        2
      • +
      • GH
        2
      • = 2
      • GH
      • .
      • EH
Question 3
3.
Which of the following are true?
a)
Any two circles are congruent.
b)
Any two triangles are similar.
c)
Any two squares are similar.
d)
Any two triangles are congruent.
e)
Any two circles are similar.
f)
Any two squares are congruent.
  • {a,c}
  • {b,e}
  • {a,e,c}
  • {c,e}
  • {d,f,c}
Question 4
4.
In the given figure, given ∠GDE = ∠FDG, p = 8.76 cm, q = 8.24 cm and EF = 17 cm, find EG =
  • 7.76 cm
  • 6.76 cm
  • 8.76 cm
  • 9.76 cm
  • 10.76 cm
Question 5
5.
    • In the given figure, three lines l , m and n are such that l ∥ m ∥ n.
    • Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.
    • ∠FAC  =
  • ∠AFD
  • ∠HFE
  • ∠FDA
  • ∠FEH
  • ∠HAB
Question 6
6.
Identify the property by which the two given triangles are similar
  • SSS Similarity
  • not similar
  • SAS Similarity
  • AAA Similarity
Question 7
7.
In the given figure, the altitudes OG and HP of △FGH meet at N. △PGH ∼
  • △NPO
  • △OHG
  • △OHN
  • △PGN
  • △NGH
Question 8
8.
In the given figure, in △DEF, 'O' is a point inside the triangle. OG ⟂ EF, OH ⟂ DF and OI ⟂ DE. Then
      • DI
        2
      • +
      • EG
        2
      • +
      • FH
        2
      • =
      • OG
        2
      • +
      • OH
        2
      • +
      • OI
        2
      • DI
        2
      • +
      • EG
        2
      • +
      • FH
        2
      • =
      • OI
      • .
      • OG
      • +
      • OG
      • .
      • OH
      • +
      • OH
      • .
      • OI
      • DI
        2
      • +
      • EG
        2
      • +
      • FH
        2
      • =
      • OD
      • .
      • OE
      • +
      • OE
      • .
      • OF
      • +
      • OF
      • .
      • OD
      • DI
        2
      • +
      • EG
        2
      • +
      • FH
        2
      • =
      • DH
        2
      • +
      • FG
        2
      • +
      • EI
        2
Question 9
9.
From the given figure and values, find x
  • (
    32
    ,
    32
    )
  • (
    31
    ,
    31
    )
  • (
    33
    ,
    33
    )
  • (
    31
    ,
    30
    )
  • (
    33
    ,
    31
    )
Question 10
10.
In the given △MNO, PQ ∥ NO. If  MP : PN = 5.62 cm : 9.38 cm  and  MO = 17 cm, QO =
  • 11.62 cm
  • 10.62 cm
  • 12.62 cm
  • 8.62 cm
  • 9.62 cm