CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Triangles
Question 1
1.
In the given △DEF, GH ∥ EF. If  DG : GE = 10.29 cm : 7.71 cm  and  DF = 19 cm, DH =
  • 8.86 cm
  • 10.86 cm
  • 11.86 cm
  • 9.86 cm
  • 12.86 cm
Question 2
2.
In the given figure, the area of the △KLM is x sq.cm. N,O,P are the mid-points of the sides LM , MK and KL respectively. The area of the △NOP is
      • 1
        3
      • of area of △KLM
      • 2
        3
      • of area of △KLM
      • 1
        2
      • of area of △KLM
      • 3
        4
      • of area of △KLM
      • 1
        4
      • of area of △KLM
Question 3
3.
In the given figure, △BCD is an acute angled triangle and BE ⟂ CD. Then
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • BE
        2
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • CD
      • .
      • CE
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • +
      • 2
      • BC
      • .
      • CD
      • BD
        2
      • =
      • BC
        2
      • +
      • CD
        2
      • −
      • 2
      • CD
      • .
      • CE
Question 4
4.
    • In the given figure, △CDE ∼ △MNO and DE = 15 cm , NO = 21 cm and
    • CF
    • =
    • 7.97 cm
    • ,
    • find the area of the
    • △MNO
  • 116.23 sq.cm
  • 118.23 sq.cm
  • 115.23 sq.cm
  • 119.23 sq.cm
  • 117.23 sq.cm
Question 5
5.
In the given figure, the altitudes OB and CP of △ABC meet at N. △NPO ∼
  • △OCN
  • △PBC
  • △OCB
  • △PBN
  • △NBC
Question 6
6.
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
    • +
    • CE
      2
    • = 2
    • CF
      2
    • +
    • 1
      2
    • DE
      2
d)
    • CD
      2
    • =
    • CF
      2
    • −
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
e)
    • CE
      2
    • =
    • CG
      2
    • +
    • DE
    • .
    • FG
    • +
    • 1
      4
    • DE
      2
  • {b,c,d}
  • {a,b,c}
  • {e,c}
  • {a,e,d}
  • {a,b}
Question 7
7.
In the given figure, O is a point in the interior of the rectangle ABCD. Then
      • OA
        2
      • +
      • OB
        2
      • +
      • OC
        2
      • +
      • OD
        2
      • =
      • AB
        2
      • +
      • BC
        2
      • +
      • CD
        2
      • +
      • DA
        2
      • OA
        2
      • −
      • OC
        2
      • =
      • OB
        2
      • −
      • OD
        2
      • OA
        2
      • +
      • OC
        2
      • =
      • OB
        2
      • +
      • OD
        2
      • OA
        2
      • +
      • OB
        2
      • +
      • OC
        2
      • +
      • OD
        2
      • =
      • AC
        2
      • +
      • BD
        2
Question 8
8.
    • In the given figure, the parallelogram EFGH and the triangle △IEF are on the same bases and between the same parallels.
    • The area of the
    • △IEF
    • is x sq.cm. The area of the parallelogram is
      • 5
        4
      • the area of the triangle
      • thrice
      • the area of the triangle
      • twice
      • the area of the triangle
      • 3
        2
      • the area of the triangle
      • 4
        3
      • the area of the triangle
Question 9
9.
In the given figure, △DEF is an obtuse angled triangle and DG ⟂ EF. Then
      • DF
        2
      • =
      • DE
        2
      • +
      • EF
        2
      • −
      • 2
      • EF
      • .
      • EG
      • DF
        2
      • =
      • DE
        2
      • +
      • EF
        2
      • +
      • 2
      • EF
      • .
      • EG
      • DF
        2
      • =
      • DE
        2
      • +
      • EF
        2
      • +
      • 2
      • EG
      • .
      • FG
      • DF
        2
      • =
      • DE
        2
      • +
      • EF
        2
      • +
      • 2
      • DE
      • .
      • EF
      • DF
        2
      • =
      • DE
        2
      • +
      • EF
        2
      • +
      • EG
        2
Question 10
10.
In the given figure, △ABC is a triangle in which AB = AC and D is a point on BC. Then
      • AB
        2
      • −
      • AD
        2
      • =
      • AD
      • .
      • BD
      • AB
        2
      • −
      • AD
        2
      • =
      • AD
      • .
      • CD
      • AB
        2
      • +
      • AD
        2
      • =
      • BC
        2
      • AB
        2
      • −
      • AD
        2
      • =
      • BD
      • .
      • CD
      • AB
        2
      • +
      • AD
        2
      • =
      • BD
      • .
      • CD