CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Triangles
Question 1
1.
Which of the following are true?
a)
A polygonal region can be divided into a finite number of triangles in a unique way.
b)
Area of the union of two polygonal region is the sum of the individual area.
c)
Area of the union of two polygonal region is not equal to the sum of the individual area.
d)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
  • {a,d,c}
  • {c,d}
  • {b,d}
  • {a,c}
  • {a,b,c}
Question 2
2.
In the given figure, given ∠DAB = ∠CAD, p = 8.24 cm, q = 8.76 cm and BC = 17 cm, find DC =
  • 7.76 cm
  • 10.76 cm
  • 8.76 cm
  • 9.76 cm
  • 6.76 cm
Question 3
3.
    • 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
  • ∠AFD
  • ∠BHA
  • ∠CFA
  • ∠EHF
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
      • 5
        4
      • the area of the triangle
      • twice
      • the area of the triangle
      • thrice
      • the area of the triangle
      • 4
        3
      • the area of the triangle
      • 3
        2
      • the area of the triangle
Question 5
5.
In the given figure, △IJK is right-angled at J. Also, JL ⟂ IK. If  JK = 19 cm, JL = 11.77 cm, then find IJ.
  • 17.00 cm
  • 13.00 cm
  • 16.00 cm
  • 15.00 cm
  • 14.00 cm
Question 6
6.
    • In the given figure, △DEF ∼ △QRS and DE = 12 cm, QR = 16.8 cm.
    • If the area of the
    • △DEF
    • =
    • 68.23 sq.cm
    • , find the area of the
    • △QRS
  • 131.73 sq.cm
  • 133.73 sq.cm
  • 135.73 sq.cm
  • 134.73 sq.cm
  • 132.73 sq.cm
Question 7
7.
    • In the given figure, △EGF is right-angled at G, GH ⟂ EF.
    • EF
    • = c,
    • GF
    • = a,
    • EG
    • = b and
    • GH
    • = p.
    • Which of the following are true?
a)
    • 1
      a
      2
    • +
    • 1
      b
      2
    • +
    • 1
      c
      2
    • =
    • 1
      p
      2
b)
    • 1
      a
      2
    • +
    • 1
      b
      2
    • =
    • 1
      p
      2
c)
    • a
      2
    • +
    • b
      2
    • =
    • c
      2
d)
    • ab
    • =
    • pc
e)
    • 1
      a
      2
    • +
    • 1
      b
      2
    • =
    • 1
      c
      2
    • +
    • 1
      p
      2
  • {a,b}
  • {b,c,d}
  • {a,e,d}
  • {e,c}
  • {a,b,c}
Question 8
8.
In the given figure, △DEF is isosceles right-angled at E and EG ⟂ FD. ∠EGD =
  • ∠GDE
  • ∠GEF
  • ∠DEG
  • ∠EFG
  • ∠DEF
Question 9
9.
    • In the given figure, △BCD and △STU are such that
    • ∠C
    • =
    • ∠T
    •  
    • and
    • BC
      ST
    • =
    • CD
      TU
    • .
    • Identify the property by which the two triangles are similar
  • not similar
  • SAS Similarity
  • AAA Similarity
  • SSS Similarity
Question 10
10.
    • In the given figure
    • △HIJ
    • ,
    • K
    • is the mid-point of
    •  
    •  

      HI
       
       
    • and
    •  
    •  

      KL
       
       
      ∥
       

      IJ
       
       
    • ,
    • then
    •  
    • HL
    • =
  • HK
  • JH
  • KI
  • HI
  • LJ