ICSE Board Practice

ICSE Grade VII - Triangles
Question 1
1.
How many diagonals does a triangle have?
  • 2
  • 4
  • 1
  • 3
  • 0
Question 2
2.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • x
    =
    36°
    ,
    y
    =
    61°
    ,
    z
    =
    83°
  • x
    =
    34°
    ,
    y
    =
    65°
    ,
    z
    =
    81°
  • x
    =
    36°
    ,
    y
    =
    63°
    ,
    z
    =
    81°
  • x
    =
    38°
    ,
    y
    =
    63°
    ,
    z
    =
    79°
  • x
    =
    34°
    ,
    y
    =
    63°
    ,
    z
    =
    83°
Question 3
3.
In the given figure, calculate the value of x.
  • x
    =
    140°
  • x
    =
    141°
  • x
    =
    139°
  • x
    =
    138°
  • x
    =
    142°
Question 4
4.
In the given figure, if LJ = JM = KM. Find the value of x.
  • x
    =
    91°
  • x
    =
    93°
  • x
    =
    95°
  • x
    =
    94°
  • x
    =
    92°
Question 5
5.
Identify the points that are inside the triangle
  • {M,P,S}
  • {N,Q,T}
  • {O,R,U}
  • {T,Q,M}
  • {T,U,N}
Question 6
6.
    • The line joining each vertex to the mid-point of the opposite side of a triangle is called
  • altitude
  • incentre
  • median
  • centroid
  • orthocentre
Question 7
7.
In the given figure, it is given that ED ∥ GF , ∠EGF = 78° and ∠EDC = 74°. Find the value of x.
  • x
    =
    29°
  • x
    =
    28°
  • x
    =
    26°
  • x
    =
    27°
  • x
    =
    30°
Question 8
8.
Which of the following may lie outside or on the triangle?
a)
circumcentre
b)
orthocentre
c)
incentre
d)
excentre
e)
centroid
  • {a,b,d}
  • {c,a,b}
  • {e,b}
  • {c,e,d}
  • {c,a}
Question 9
9.
Which of the following are measures of an obtuse angled triangle ?
  • ∠K = 51.32° , ∠L = 45.21° , ∠M = 83.47°
  • ∠K = 45.57° , ∠L = 76.87° , ∠M = 57.56°
  • ∠K = 37.57° , ∠L = 90° , ∠M = 52.43°
  • ∠K = 122.01° , ∠L = 22.67° , ∠M = 35.32°
  • ∠K = 45° , ∠L = 90° , ∠M = 45°
Question 10
10.
    • The altitude corresponding to the side
    •  


      NL
       
       
  •  


    LM
     
     
  •  


    NQ
     
     
  •  


    LP
     
     
  •  


    LO
     
     
  •  


    MP