SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Similar Triangles
Question 1
1.
    • In the given figure, QR ∥ CD , and median BE bisects QR.
    •  
    • △BQF ∼
  • △CDB
  • △BFR
  • △BCD
  • △BED
  • △BCE
Question 2
2.
In the given figure, ∠EBC = ∠DBE and BE ∥ FD and BC = 16 cm, CE = 9 cm and ED = 10 cm. Find BF
  • 15.78 cm
  • 16.78 cm
  • 18.78 cm
  • 17.78 cm
  • 19.78 cm
Question 3
3.
In the given figure, △DEF is right-angled at E. Also, EG ⟂ DF. If  GF = 15.6 cm, EG = 12.49 cm, then find DG.
  • 10.00 cm
  • 12.00 cm
  • 8.00 cm
  • 9.00 cm
  • 11.00 cm
Question 4
4.
In the given figure, △CDE is an acute angled triangle and CF ⟂ DE. Then
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • 2
      • DE
      • .
      • DF
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • 2
      • CD
      • .
      • DE
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • CF
        2
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • +
      • 2
      • DE
      • .
      • DF
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • +
      • 2
      • CD
      • .
      • DE
Question 5
5.
In the given figure, △ABC is a triangle with AD being the median of BC. Then
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • BD
        2
      • +
      • 2
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • BD
        2
      • +
      • 2
      • DC
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • 2
      • DC
        2
      • +
      • 2
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • AD
        2
      • AB
        2
      • +
      • AC
        2
      • =
      • BC
        2
Question 6
6.
In the given figure, △CDE is right-angled at D. Also, DF ⟂ CE. If  CD = 15 cm, DF = 11.25 cm, then find DE.
  • 18.00 cm
  • 15.00 cm
  • 19.00 cm
  • 17.00 cm
  • 16.00 cm
Question 7
7.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are equal.
b)
The corresponding sides are proportional.
c)
The corresponding sides are equal.
d)
The corresponding angles are proportional.
  • {c,b,a}
  • {d,b}
  • {c,d,a}
  • {a,b}
  • {c,a}
Question 8
8.
From the given figure and values, find x
  • (
    88
    ,
    87
    )
  • (
    91
    ,
    88
    )
  • (
    88
    ,
    88
    )
  • (
    90
    ,
    90
    )
  • (
    89
    ,
    89
    )
Question 9
9.
In the given figure, △IJK is a triangle in which IL is the internal bisector of ∠I and KM ∥ LI meeting JI produced at M . ∠KMI =
  • ∠MIK
  • ∠LIJ
  • ∠ILK
  • ∠LKI
  • ∠JLI
Question 10
10.
In the given figure, △ABC is right-angled at B. Also, BD ⟂ AC. Which of the following are true?
a)
    • BD
      2
    • =
    • AD
    • .
    • DC
b)
    • BC
      2
    • =
    • AC
    • .
    • AD
c)
    • BC
      2
    • =
    • CA
    • .
    • CD
d)
    • AB
      2
    • =
    • AC
    • .
    • AD
e)
    • AB
      2
    • =
    • CA
    • .
    • CD
  • {a,c,d}
  • {b,a}
  • {b,e,d}
  • {b,a,c}
  • {e,c}