SSC Board Practice

SSC Grade X - Similar Triangles
Question 1
1.
In the given figure, if DE ∥ FG then
  • △HED ∼ △HGF
  • △DEH ∼ △GFH
  • △HDE ∼ △HFG
  • △DEH ∼ △HFG
  • △DEH ∼ △HGF
Question 2
2.
    • In the given figure, IJKL is a trapezium in which
    • IJ ∥ KL
    • and the diagonals
    • JL
    • and
    • IK
    • intersect at
    • M
    • .
    • △MKL
    •  
  • △MIJ
  • △MLI
  • △MJK
  • △JKL
  • △LIJ
Question 3
3.
A vehicle goes 10 km West and then 14 km North. How far is it from its starting point ?
  • 16.20 km
  • 19.20 km
  • 17.20 km
  • 15.20 km
  • 18.20 km
Question 4
4.
In the given figure, △CDE , F is the mid-point of DE and CG ⟂ DE. Which of the following are true?
a)
    • CD
      2
    • =
    • CG
      2
    • DE
    • .
    • FG
    • +
    • 1

      4
    • DE
      2
b)
    • CD
      2
    • +
    • CE
      2
    • = 2
    • CF
      2
    • +
    • 1

      2
    • DE
      2
c)
    • CE
      2
    • =
    • CG
      2
    • +
    • DE
    • .
    • FG
    • +
    • 1

      4
    • DE
      2
d)
    • CE
      2
    • =
    • CF
      2
    • +
    • DE
    • .
    • FG
    • +
    • 1

      4
    • DE
      2
e)
    • CD
      2
    • =
    • CF
      2
    • DE
    • .
    • FG
    • +
    • 1

      4
    • DE
      2
  • {a,b}
  • {b,d,e}
  • {a,c,e}
  • {a,b,d}
  • {c,d}
Question 5
5.
    • In the given figure, TU ∥ FG , and median EH bisects TU.
    • If  EF = 17 cm, ET = 8.5 cm and EI = 8.55 cm,  EH =
  • 15.10 cm
  • 16.10 cm
  • 18.10 cm
  • 19.10 cm
  • 17.10 cm
Question 6
6.
Identify the property by which the two given triangles are similar
  • AAA Similarity
  • SAS Similarity
  • SSS Similarity
  • not similar
Question 7
7.
    • In the given figure, △FGH and △UVW are such that
    • ∠G
    • =
    • ∠V
    •  
    • and
    • FG

      UV
    • =
    • GH

      VW
    • .
    • Identify the property by which the two triangles are similar
  • not similar
  • AAA Similarity
  • SSS Similarity
  • SAS Similarity
Question 8
8.
    • 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.
    • ∠ACF  =
  • ∠FEH
  • ∠EHF
  • ∠FDA
  • ∠DAF
  • ∠ABH
Question 9
9.
In the given figure, the altitudes MB and CN of △ABC meet at L. ∠BLN  =
  • ∠NBL
  • ∠LNB
  • ∠LCM
  • ∠CML
  • ∠MLC
Question 10
10.
From the given figure and values, find x
  • (
    11
    ,
    1
    )
  • (
    0
    ,
    10
    )
  • (
    -1
    ,
    8
    )
  • (
    1
    ,
    9
    )
  • (
    -1
    ,
    9
    )