CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Triangles
Question 1
1.
    • In the given figure
    • △FGH
    • ,
    • I
    • is the mid-point of
    •  
    •  

      FG
       
       
    • and
    •  
    •  

      IJ
       
       
      ∥
       

      GH
       
       
    • ,
    • then
    •  
    • FJ
    • =
  • FG
    2
  • FI
  • GH
  • GH
    2
  • HF
    2
Question 2
2.
In the given figure, △CDE is a triangle with CF being the median of DE. Then
      • CD
        2
      • +
      • CE
        2
      • =
      • DE
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • FE
        2
      • +
      • 2
      • CF
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • CF
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • DF
        2
      • +
      • 2
      • FE
        2
      • CD
        2
      • +
      • CE
        2
      • =
      • 2
      • DF
        2
      • +
      • 2
      • CF
        2
Question 3
3.
In the given figure, given ∠IFG = ∠HFI, p = 7.97 cm, q = 9.03 cm and GH = 17 cm, find IH =
  • 11.03 cm
  • 9.03 cm
  • 7.03 cm
  • 8.03 cm
  • 10.03 cm
Question 4
4.
    • In the given figure, the parallelogram JKLM and the triangle △NJK are on the same bases and between the same parallels.
    • The area of the
    • △NJK
    • is x sq.cm. The area of the parallelogram is
      • twice
      • the area of the triangle
      • 5
        4
      • the area of the triangle
      • thrice
      • the area of the triangle
      • 3
        2
      • the area of the triangle
      • 4
        3
      • the area of the triangle
Question 5
5.
    • 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.
    • ∠DAF  =
  • ∠HFE
  • ∠EHF
  • ∠BHA
  • ∠CFA
  • ∠AFD
Question 6
6.
In the given figure, given ∠DAB = ∠CAD, x : y = 8.23 cm : 8.77 cm and q = 16 cm, find p =
  • 15.00 cm
  • 17.00 cm
  • 14.00 cm
  • 16.00 cm
  • 13.00 cm
Question 7
7.
In the given figure, △CDE is isosceles with CD = CE and DF ⟂ CE. Then
      • DF
        2
      • −
      • CF
        2
      • = 2
      • EF
      • .
      • CF
      • DF
        2
      • −
      • EF
        2
      • = 2
      • EF
      • .
      • CF
      • DF
        2
      • +
      • EF
        2
      • = 2
      • EF
      • .
      • CF
      • DF
        2
      • +
      • CF
        2
      • = 2
      • EF
      • .
      • CF
Question 8
8.
In the given figure, in △ABC, 'O' is a point inside the triangle. OD ⟂ BC, OE ⟂ AC and OF ⟂ AB. Then
      • AF
        2
      • +
      • BD
        2
      • +
      • CE
        2
      • =
      • AE
        2
      • +
      • CD
        2
      • +
      • BF
        2
      • AF
        2
      • +
      • BD
        2
      • +
      • CE
        2
      • =
      • OD
        2
      • +
      • OE
        2
      • +
      • OF
        2
      • AF
        2
      • +
      • BD
        2
      • +
      • CE
        2
      • =
      • OA
      • .
      • OB
      • +
      • OB
      • .
      • OC
      • +
      • OC
      • .
      • OA
      • AF
        2
      • +
      • BD
        2
      • +
      • CE
        2
      • =
      • OF
      • .
      • OD
      • +
      • OD
      • .
      • OE
      • +
      • OE
      • .
      • OF
Question 9
9.
In the given figure, ∠FCD = 42.93°, find the value of x =
  • 48.07°
  • 45.07°
  • 46.07°
  • 47.07°
  • 49.07°
Question 10
10.
In the given figure, BCDE is a rhombus. Which of the following are true?
a)
    • 2
    • BC
      2
    • =
    • BD
      2
    • +
    • CE
      2
b)
    • 4
    • BC
      2
    • =
    • BD
      2
    • +
    • CE
      2
c)
    • BC
      2
    • +
    • CD
      2
    • +
    • DE
      2
    • +
    • BE
      2
    • =
    • BD
      2
    • +
    • CE
      2
d)
    • CD
      2
    • +
    • DE
      2
    • =
    • CE
      2
e)
    • BC
      2
    • +
    • CD
      2
    • =
    • BD
      2
  • {a,b}
  • {b,c}
  • {d,c,b}
  • {d,c}
  • {e,a,b}