SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Similar Triangles
Question 1
1.
From the given figure and values, find x
  • (
    -3
    ,
    33
    )
  • (
    -5
    ,
    34
    )
  • (
    -6
    ,
    33
    )
  • (
    -6
    ,
    32
    )
  • (
    35
    ,
    -4
    )
Question 2
2.
In the given figure, △HIJ is isosceles right-angled at I and IK ⟂ JH. ∠IKH =
  • ∠HIJ
  • ∠KHI
  • ∠IJK
  • ∠HIK
  • ∠KIJ
Question 3
3.
The altitude and area of an equilateral triangle of side 'a' is

      • √

        3
      • a,
      		•
        1
        2

        √

        3
      • a
      • 1
        2

        √

        3
      • a,
      		•
        1
        2

        √

        3
      • a
        2
      • 1
        2

        √

        3
      • a,
      		•
        1
        4

        √

        3
      • a
        2

      • √

        3
      • a,
      		•
        1
        2

        √

        3
      • a
        2
Question 4
4.
In the given figure, D and E are points on the sides AB and AC respectively of △ABC.For which of the following cases, DE ∥ BC
a)
AB = 20 cm, AD = 14 cm, AC = 18 cm and EC = 7.2 cm
b)
AD = 12 cm, DB = 8 cm, AE = 10.8 cm and EC = 7.2 cm
c)
AB = 20 cm, DB = 8 cm, AE = 12.8 cm and AC = 18 cm
d)
AB = 20 cm, DB = 8 cm, AC = 18 cm and AE = 10.8 cm
  • {a,d,b}
  • {a,b}
  • {b,d}
  • {a,c,b}
  • {c,d}
Question 5
5.
In the given figure, △JKL is isosceles right-angled at K and KM ⟂ LJ. ∠L =
  • ∠M
  • ∠N
  • ∠O
  • ∠K
  • ∠J
Question 6
6.
In the given figure, △CDE is a triangle with CF being the median of DE. Then
      • CD
        2
      • +
      • CE
        2
      • =
      • CF
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • DE
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • DF
        2
      • +
      • 2
      • FE
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • FE
        2
      • +
      • 2
      • CF
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • DF
        2
      • +
      • 2
      • CF
        2
Question 7
7.
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
      • =
      • DH
        2
      • +
      • FG
        2
      • +
      • EI
        2
      • DI
        2
      • +
      • EG
        2
      • +
      • FH
        2
      • =
      • OD
      • .
      • OE
      • +
      • OE
      • .
      • OF
      • +
      • OF
      • .
      • OD
Question 8
8.
Identify the property by which the two given triangles are similar
  • SSS Similarity
  • not similar
  • SAS Similarity
  • AAA Similarity
Question 9
9.
    • 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  =
  • ∠FEH
  • ∠FDA
  • ∠HFE
  • ∠HAB
  • ∠AFD
Question 10
10.
In the given figure, H is a point on side FG of △EFG such that ∠GEF = ∠EHG = 104° , ∠HGE = 21°. Find ∠GEH
  • 53°
  • 57°
  • 56°
  • 55°
  • 54°