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, ∠ECD = 42.77°, find the value of y =
  • 47.23°
  • 49.23°
  • 45.23°
  • 46.23°
  • 48.23°
Question 2
2.
    • In the given figure,
    • △CED
    • is right-angled at
    • E
    • .
    • Q
    • is the mid-point of
    • CE
    • and
    • R
    • is the mid-point of
    • DE
    • .
    • Which of the following cases are true?
a)
    • 4
    • DQ
      2
    • =
    • 4
    • DE
      2
    • +
    • CE
      2
b)
    • 4
    • CR
      2
    • =
    • 4
    • DE
      2
    • +
    • CE
      2
c)
    • 4
    • CR
      2
    • =
    • 4
    • CE
      2
    • +
    • DE
      2
d)
    • 4
    • DQ
      2
    • =
    • 4
    • CE
      2
    • +
    • DE
      2
e)
    • 4 (
    • CR
      2
    • +
    • DQ
      2
    • ) =
    • 5
    • CD
      2
  • {b,a}
  • {d,c}
  • {b,a,c}
  • {b,d,e}
  • {a,c,e}
Question 3
3.
In the given figure, in △CDE, 'O' is a point inside the triangle. OF ⟂ DE, OG ⟂ CE and OH ⟂ CD. Then
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • CG
        2
      • +
      • EF
        2
      • +
      • DH
        2
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OF
        2
      • +
      • OG
        2
      • +
      • OH
        2
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OH
      • .
      • OF
      • +
      • OF
      • .
      • OG
      • +
      • OG
      • .
      • OH
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OC
      • .
      • OD
      • +
      • OD
      • .
      • OE
      • +
      • OE
      • .
      • OC
Question 4
4.
    • In the given figure, △ABC and △STU are such that
    • AB
      ST
    • =
    • BC
      TU
    • =
    • CA
      US
    • .
    • Identify the property by which the two triangles are similar
  • not similar
  • SSS Similarity
  • AAA Similarity
  • SAS Similarity
Question 5
5.
In the given figure, in △CDE, 'O' is a point inside the triangle. OF ⟂ DE, OG ⟂ CE and OH ⟂ CD. Then
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OH
        2
      • +
      • OG
        2
      • +
      • OF
        2
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OC
        2
      • +
      • OD
        2
      • +
      • OE
        2
      • −
      • OF
        2
      • −
      • OG
        2
      • −
      • OH
        2
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • CD
        2
      • +
      • FE
        2
      • +
      • EC
        2
      • −
      • DH
        2
      • −
      • EF
        2
      • −
      • GC
        2
      • CH
        2
      • +
      • DF
        2
      • +
      • EG
        2
      • =
      • OC
        2
      • +
      • OD
        2
      • +
      • OE
        2
      • +
      • OF
        2
      • +
      • OG
        2
      • +
      • OH
        2
Question 6
6.
JKLM is a cyclic trapezium. Diagonals KM and JL intersect at N. If MJ = 17 cm, find KL
  • 18 cm
  • 15 cm
  • 19 cm
  • 17 cm
  • 16 cm
Question 7
7.
In the given figure, O is a point in the interior of the rectangle CDEF. Then
      • OC
        2
      • +
      • OD
        2
      • +
      • OE
        2
      • +
      • OF
        2
      • =
      • CE
        2
      • +
      • DF
        2
      • OC
        2
      • −
      • OE
        2
      • =
      • OD
        2
      • −
      • OF
        2
      • OC
        2
      • +
      • OE
        2
      • =
      • OD
        2
      • +
      • OF
        2
      • OC
        2
      • +
      • OD
        2
      • +
      • OE
        2
      • +
      • OF
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • +
      • EF
        2
      • +
      • FC
        2
Question 8
8.
In the given figure,  △IJK, IL ⟂ JK. Which of the following are true?
a)
    • IJ
      2
    • +
    • JL
      2
    • =
    • IK
      2
    • +
    • KL
      2
b)
    • IJ
      2
    • +
    • IK
      2
    • =
    • JL
      2
    • +
    • KL
      2
c)
    • IJ
      2
    • −
    • IK
      2
    • =
    • JL
      2
    • −
    • KL
      2
d)
    • IL
      2
    • =
    • 2
    • JL
    • .
    • KL
e)
    • IJ
      2
    • −
    • JL
      2
    • =
    • IK
      2
    • −
    • KL
      2
  • {b,e}
  • {a,c}
  • {d,a,c}
  • {b,e,c}
  • {c,e}
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 . ∠KIL =
  • ∠JLI
  • ∠LKI
  • ∠MIK
  • ∠ILK
  • ∠LIJ
Question 10
10.
    • In the given figure,
    •  
    • FG
    • ∥
    • DE
    • .
    • If
    •  
    • CF
      FD
    • =
    • 5
      4
    • and
    • CE
    • =
    • 13.9 cm
    • , find
    • CG
  • 6.72 cm
  • 8.72 cm
  • 9.72 cm
  • 7.72 cm
  • 5.72 cm