CBSE Board Practice

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CBSE Grade X - Triangles
Question 1
1.
In the given figure, if A, Q, R, S, T, U are equidistant and RP ∥ UB and AB = 22 cm. Find AP
  • 7.80 cm
  • 10.80 cm
  • 8.80 cm
  • 6.80 cm
  • 9.80 cm
Question 2
2.
    • In the given figure,
    •  
    • HI
    • ∥
    • FG
    • .
    • If
    •  
    • EH
      HF
    • =
    • 5
      3
    • and
    • EG
    • =
    • 11.4 cm
    • , find
    • EI
  • 6.12 cm
  • 9.12 cm
  • 7.12 cm
  • 8.12 cm
  • 5.12 cm
Question 3
3.
In the given figure, △CDE is an acute angled triangle and CF ⟂ DE. Then
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • 2
      • CD
      • .
      • DE
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • +
      • 2
      • CD
      • .
      • DE
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • CF
        2
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • −
      • 2
      • DE
      • .
      • DF
      • CE
        2
      • =
      • CD
        2
      • +
      • DE
        2
      • +
      • 2
      • DE
      • .
      • DF
Question 4
4.
    • In the given figure
    • △EFG
    • ,
    • H
    • is the mid-point of
    •  
    •  

      EF
       
       
    • and
    •  
    •  

      HI
       
       
      ∥
       

      FG
       
       
    • ,
    • then
    •  
    • HF
    • =
  • IG
  • EF
  • EH
  • EI
  • GE
Question 5
5.
Which of the following are true?
a)
Any two quadrilaterals are similar if the corresponding sides are proportional.
b)
Any two triangles are similar if the corresponding sides are proportional.
c)
Any two quadrilaterals are similar if the corresponding angles are equal.
d)
Any two triangles are similar if the corresponding angles are equal.
  • {c,b}
  • {c,d}
  • {c,a,b}
  • {c,a}
  • {a,b,d}
Question 6
6.
The foot of a ladder resting on a wall from the foot of the wall is 15 m. If the height of the top of the ladder from ground is 11 m, find the length of the ladder
  • 19.60 m
  • 16.60 m
  • 18.60 m
  • 17.60 m
  • 20.60 m
Question 7
7.
Which of the following are true?
a)
Any two triangles are similar.
b)
Any two circles are congruent.
c)
Any two triangles are congruent.
d)
Any two squares are congruent.
e)
Any two squares are similar.
f)
Any two circles are similar.
  • {b,f}
  • {c,d,e}
  • {a,e}
  • {e,f}
  • {a,f,e}
Question 8
8.
    • In the given figure, TU ∥ EF , and median DG bisects TU.
    • If  DG = 13.6 cm, DF = 17 cm and DU = 7.29 cm,  DH =
  • 7.83 cm
  • 4.83 cm
  • 6.83 cm
  • 5.83 cm
  • 3.83 cm
Question 9
9.
In the given figure, H is a point on side FG of △EFG such that ∠GEF = ∠EHG = 104° , ∠HGE = 24°. Find ∠GEH
  • 50°
  • 53°
  • 51°
  • 54°
  • 52°
Question 10
10.
In the given figure, ∠FCD = ∠ECF and CF ∥ GE and CD = 16 cm, DF = 9 cm and FE = 9 cm. Find CG
  • 15.00 cm
  • 18.00 cm
  • 14.00 cm
  • 16.00 cm
  • 17.00 cm