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 measures of an isosceles right angled triangle ?
  • OP = 15 cm , PQ = 13 cm , QO = 10 cm
  • OP = 12 cm , PQ = 12 cm , QO = 16.97 cm
  • OP = 11 cm , PQ = 10 cm , QO = 13 cm
  • OP = 15 cm , PQ = 15 cm , QO = 15 cm
  • OP = 15 cm , PQ = 26 cm , QO = 15 cm
Question 2
2.
In the given figure, points N , O and P are the mid-points of sides LM, MK and KL of △KLM. Which of the following are true?
a)
Area of trapezium LMOP is thrice the area of △KPO
b)
    • Area of
    • △KLM
    • =
    • 1
      3
    • area of
    • △NOP
c)
Area of △KLM = 4 times area of △NOP
d)
All four small triangles have equal areas
e)
    • Area of trapezium
    • LMOP
    • is
    • 1
      4
    • the area of
    • △KLM
  • {a,c,d}
  • {b,a}
  • {b,e,d}
  • {b,a,c}
  • {e,c}
Question 3
3.
In the given two similar triangles, if j = 17 cm, k = 19 cm, l = 16 cm, m = 10.2 cm, find n
  • 10.40 cm
  • 9.40 cm
  • 13.40 cm
  • 11.40 cm
  • 12.40 cm
Question 4
4.
    • In the given figure
    • △KLM
    • ,
    • N
    • is the mid-point of
    •  
    •  

      KL
       
       
    • and
    •  
    •  

      NO
       
       
      ∥
       

      LM
       
       
    • ,
    • then
    •  
    • NL
    • =
  • KL
  • KO
  • KN
  • OM
  • MK
Question 5
5.
In the given figure, △CDE , F is the mid-point of DE and CG ⟂ DE. Which of the following are true?
a)
    • CD
      2
    • =
    • CG
      2
    • −
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
b)
    • CE
      2
    • =
    • CF
      2
    • +
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
c)
    • CD
      2
    • =
    • CF
      2
    • −
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
d)
    • CE
      2
    • =
    • CG
      2
    • +
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
e)
    • CD
      2
    • +
    • CE
      2
    • = 2
    • CF
      2
    • +
    • 1
      2
    • DE
      2
  • {a,d,e}
  • {a,b,c}
  • {b,c,e}
  • {d,c}
  • {a,b}
Question 6
6.
A vehicle goes 13 km West and then 12 km South. How far is it from its starting point ?
  • 15.69 km
  • 17.69 km
  • 19.69 km
  • 16.69 km
  • 18.69 km
Question 7
7.
    • In the given figure, △ABC ∼ △PQR and BC = 13 cm , QR = 18.2 cm and
    • AD
    • =
    • 9.46 cm
    • ,
    • find the area of the
    • △PQR
  • 119.50 sq.cm
  • 121.50 sq.cm
  • 122.50 sq.cm
  • 120.50 sq.cm
  • 118.50 sq.cm
Question 8
8.
In the given figure, if AB ∥ CD then
  • △ABE ∼ △ECD
  • △EAB ∼ △ECD
  • △EBA ∼ △EDC
  • △ABE ∼ △DCE
  • △ABE ∼ △EDC
Question 9
9.
Which of the following are necessary conditions for similarity of two polygons ?
a)
The corresponding angles are proportional.
b)
The corresponding sides are proportional.
c)
The corresponding sides are equal.
d)
The corresponding angles are equal.
  • {a,b}
  • {a,c,b}
  • {a,d,b}
  • {c,d}
  • {b,d}
Question 10
10.
In the given figure, O and P are points on the sides LM and LN respectively of △LMN.For which of the following cases, OP ∥ MN
a)
LM = 18 cm, OM = 11.25 cm, LP = 8.75 cm and LN = 18 cm
b)
LM = 18 cm, OM = 11.25 cm, LN = 18 cm and LP = 6.75 cm
c)
LO = 6.75 cm, OM = 11.25 cm, LP = 6.75 cm and PN = 11.25 cm
d)
LM = 18 cm, LO = 8.75 cm, LN = 18 cm and PN = 11.25 cm
  • {d,c}
  • {b,c}
  • {a,d,b}
  • {a,b}
  • {a,c,b}