CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Triangles
Question 1
1.
HIJK is a square and △HIL is an equilateral triangle. Also, △HJM is an equilateral triangle. If area of △HIL is 'a' sq.units, then the area of △HJM is
      • a
        2
      • sq.units
      • 1
        2
      • a sq.units
      • 2a sq.units

      • √

        3
      • a sq.units
      • 1
        2

        √

        3
      • a sq.units
Question 2
2.
    • In the given figure, TU ∥ EF , and median DG bisects TU.
    • If  DE = 19 cm, DT = 8.44 cm and DH = 8.49 cm,  DG =
  • 19.10 cm
  • 20.10 cm
  • 17.10 cm
  • 18.10 cm
  • 21.10 cm
Question 3
3.
From the given figure and values, find x
  • (
    8
    ,
    1
    )
  • (
    9
    ,
    0
    )
  • (
    2
    ,
    9
    )
  • (
    7
    ,
    -1
    )
  • (
    7
    ,
    0
    )
Question 4
4.
In the given figure, ABC is a triangle and 'O' is a point inside △ABC. The angular bisector of ∠BOA, ∠COB & ∠AOC meet AB, BC & CA at D, E & F respectively . Then
  • AD . BE . CF = OA . OB . OC
  • AD . BE . CF = AB . BC . CA
  • AD . BE . CF = OD . OE . OF
  • AD . BE . CF = DE . EF . FD
  • AD . BE . CF = DB . EC . FA
Question 5
5.
    • In the given figure, △EFG ∼ △NOP and EF = 10 cm, NO = 14 cm.
    • If the area of the
    • △NOP
    • =
    • 111.71 sq.cm
    • , find the area of the
    • △EFG
  • 57.00 sq.cm
  • 56.00 sq.cm
  • 59.00 sq.cm
  • 58.00 sq.cm
  • 55.00 sq.cm
Question 6
6.
    • In the given figure
    • △FGH
    • ,
    • I
    • is the mid-point of
    •  
    •  

      FG
       
       
    • and
    •  
    •  

      IJ
       
       
      ∥
       

      GH
       
       
    • ,
    • then
    •  
    • FJ
    • =
  • FG
    2
  • GH
  • FI
  • HF
    2
  • GH
    2
Question 7
7.
Which of the following are measures of an isosceles right angled triangle ?
  • PQ = 13 cm , QR = 13 cm , RP = 13 cm
  • PQ = 14 cm , QR = 14 cm , RP = 19.8 cm
  • PQ = 15 cm , QR = 12 cm , RP = 14 cm
  • PQ = 12 cm , QR = 13 cm , RP = 11 cm
  • PQ = 11 cm , QR = 22 cm , RP = 13 cm
Question 8
8.
Which of the following are true?
a)
Any two circles are congruent.
b)
Any two squares are congruent.
c)
Any two circles are similar.
d)
Any two triangles are congruent.
e)
Any two squares are similar.
f)
Any two triangles are similar.
  • {a,c}
  • {d,f,c}
  • {b,e}
  • {a,e,c}
  • {c,e}
Question 9
9.
In the given figure, J is a point on side HI of △GHI such that ∠IGH = ∠GJI = 107° , ∠JIG = 20°. Find ∠IGJ
  • 53°
  • 52°
  • 51°
  • 55°
  • 54°
Question 10
10.
    • In the given figure, the two circles touch each other internally.
    • Diameter
    • OB
    • passes through the centre of the smaller circle.
    • OX = 10 cm
    • ,
    • OY = 25 cm
    • and radius of the inner circle is
    • 6.2 cm
    • .
    • Find the radius of the outer circle.
  • 14.50 cm
  • 16.50 cm
  • 13.50 cm
  • 15.50 cm
  • 17.50 cm