SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Similar Triangles
Question 1
1.
    • The ratio of the bases of two triangles ABC and DEF is
    • 4
      		:
      6
    • .
    • If the triangles are equal in area, then the ratio of their heights is
  • 3
    		:
    6
  • 6
    		:
    4
  • 5
    		:
    6
  • 4
    		:
    8
  • 4
    		:
    3
Question 2
2.
    • In the given figure, △ABC, TU ∥ BC such that
    • area of
    •  
    • △ATU
    • = area of
    •  
    • TUCB
    • . Find
    •  
    • AT
      AB
  • 1
    2
    4
    √

    2
  • 1
  • 1
    2

    √

    2
  • 1
    2

    √

    5
  • 1
    2

    √

    -1
Question 3
3.
In the given figure, ∠DAB = ∠CAD and AD ∥ EC and AB = 15 cm, BD = 7 cm and DC = 9 cm. Find AE
  • 21.29 cm
  • 17.29 cm
  • 20.29 cm
  • 18.29 cm
  • 19.29 cm
Question 4
4.
    • In the given figure,
    • △DFE
    • is right-angled at
    • F
    • .
    • S
    • is the mid-point of
    • DF
    • and
    • T
    • is the mid-point of
    • EF
    • .
    • Which of the following cases are true?
a)
    • 4
    • ES
      2
    • =
    • 4
    • EF
      2
    • +
    • DF
      2
b)
    • 4
    • DT
      2
    • =
    • 4
    • EF
      2
    • +
    • DF
      2
c)
    • 4
    • DT
      2
    • =
    • 4
    • DF
      2
    • +
    • EF
      2
d)
    • 4 (
    • DT
      2
    • +
    • ES
      2
    • ) =
    • 5
    • DE
      2
e)
    • 4
    • ES
      2
    • =
    • 4
    • DF
      2
    • +
    • EF
      2
  • {a,c,d}
  • {e,c}
  • {b,a,c}
  • {b,a}
  • {b,e,d}
Question 5
5.
If the measures are as shown in the given figure, find  CD
  • 22.0 cm
  • 19.0 cm
  • 20.0 cm
  • 23.0 cm
  • 21.0 cm
Question 6
6.
In the given figure, ST ∥ GH and FS = 12.6 cm, ST = 15 cm and GH = 25 cm, find FG
  • 21.0 cm
  • 23.0 cm
  • 22.0 cm
  • 19.0 cm
  • 20.0 cm
Question 7
7.
In the given figure, E is a point on side CD of △BCD such that ∠DBC = ∠BED = 108° , ∠EDB = 25°. Find ∠DBE
  • 45°
  • 49°
  • 46°
  • 47°
  • 48°
Question 8
8.
In the given figure, △BCD is an acute angled triangle and BE ⟂ CD. Then
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • CD
      • .
      • CE
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • BE
        2
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • CD
      • .
      • CE
Question 9
9.
From the given figure and values, find x
  • (
    34
    ,
    33
    )
  • (
    34
    ,
    34
    )
  • (
    37
    ,
    34
    )
  • (
    36
    ,
    36
    )
  • (
    35
    ,
    35
    )
Question 10
10.
In the given figure, GHI is a triangle and 'O' is a point inside △GHI. The angular bisector of ∠HOG, ∠IOH & ∠GOI meet GH, HI & IG at J, K & L respectively . Then
  • GJ . HK . IL = JH . KI . LG
  • GJ . HK . IL = OJ . OK . OL
  • GJ . HK . IL = OG . OH . OI
  • GJ . HK . IL = GH . HI . IG
  • GJ . HK . IL = JK . KL . LJ