CBSE Board Practice

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CBSE Grade X - Triangles
Question 1
1.
In the given figure, points P , Q and R are the mid-points of sides NO, OM and MN of △MNO. Which of the following are true?
a)
△MRQ ∼ △MNO
b)
△PRQ ∼ △MNO
c)
△RNP ∼ △MNO
d)
△QPO ∼ △MNO
e)
△PQR ∼ △MNO
  • {b,c}
  • {b,a}
  • {a,c,d,e}
  • {b,d}
  • {b,e,a}
Question 2
2.
In the given figure, given ∠FCD = ∠ECF, p = 10 cm, q = 10 cm and DE = 20 cm, find FE =
  • 9.00 cm
  • 12.00 cm
  • 10.00 cm
  • 11.00 cm
  • 8.00 cm
Question 3
3.
    • In the given figure
    • △BCD
    • ,
    • E
    • is the mid-point of
    •  
    •  

      BC
       
       
    • and
    •  
    •  

      EF
       
       
      ∥
       

      CD
       
       
    • ,
    • then
    •  
    • EC
    • =
  • BE
  • BC
  • FD
  • BF
  • DB
Question 4
4.
In the given figure, K and L are points on the sides HI and HJ respectively of △HIJ.For which of the following cases, KL ∥ IJ
a)
HI = 20 cm, KI = 10 cm, HL = 9.5 cm and HJ = 15 cm
b)
HK = 10 cm, KI = 10 cm, HL = 7.5 cm and LJ = 7.5 cm
c)
HI = 20 cm, HK = 12 cm, HJ = 15 cm and LJ = 7.5 cm
d)
HI = 20 cm, KI = 10 cm, HJ = 15 cm and HL = 7.5 cm
  • {a,d,b}
  • {b,d}
  • {a,b}
  • {c,d}
  • {a,c,b}
Question 5
5.
In the given figure, △IJK is isosceles right-angled at J and JL ⟂ KI. ∠L =
  • ∠I
  • ∠M
  • ∠K
  • ∠N
  • ∠J
Question 6
6.
In a right angled triangle, if the two non-hypotenuse sides are 14 cm and 48 cm, find the hypotenuse
  • 49.00 cm
  • 48.00 cm
  • 52.00 cm
  • 51.00 cm
  • 50.00 cm
Question 7
7.
In the given figure, CDEF is a trapezium where OC = 15 cm , OD = 15 cm and OE = 5 cm . Find OF =
  • 4 cm
  • 7 cm
  • 5 cm
  • 3 cm
  • 6 cm
Question 8
8.
Which of the following are true?
a)
Any two squares are similar.
b)
Any two triangles are similar.
c)
Any two circles are similar.
d)
Any two triangles are congruent.
e)
Any two circles are congruent.
f)
Any two squares are congruent.
  • {e,f,a}
  • {b,a}
  • {a,c}
  • {b,c,a}
  • {d,c}
Question 9
9.
Which of the following are measures of an isosceles right angled triangle ?
  • EF = 11 cm , FG = 21 cm , GE = 14 cm
  • EF = 14 cm , FG = 14 cm , GE = 19.8 cm
  • EF = 14 cm , FG = 12 cm , GE = 15 cm
  • EF = 11 cm , FG = 11 cm , GE = 11 cm
  • EF = 12 cm , FG = 10 cm , GE = 11 cm
Question 10
10.
In the given figure, △EFG is right-angled at F. Also, FH ⟂ EG. If  HG = 10 cm, FH = 12.49 cm, then find EH.
  • 17.60 cm
  • 16.60 cm
  • 15.60 cm
  • 13.60 cm
  • 14.60 cm