ICSE Board Practice

ICSE Grade VII - Triangles
Question 1
1.
    • The median corresponding to the side
    •  


      LJ
       
       
  •  


    KN
     
     
  •  


    JN
     
     
  •  


    LO
     
     
  •  


    JK
     
     
  •  


    JM
     
     
Question 2
2.
    • The point of intersection of the perpendicular bisectors of the sides of a triangle is called
  • excentre
  • median
  • circumcentre
  • altitude
  • centroid
Question 3
3.
Which of the following are measures of an acute angled triangle ?
  • MN = 10 cm , NO = 10 cm , OM = 10 cm
  • MN = 15 cm , NO = 21 cm , OM = 11 cm
  • MN = 12 cm , NO = 19 cm , OM = 13 cm
  • MN = 14 cm , NO = 10 cm , OM = 17.2 cm
  • MN = 10 cm , NO = 10 cm , OM = 14.14 cm
Question 4
4.
Which of the following are measures of a right angled triangle ?
  • ∠O = 49.4° , ∠P = 90° , ∠Q = 40.6°
  • ∠O = 60° , ∠P = 60° , ∠Q = 60°
  • ∠O = 61.28° , ∠P = 69.98° , ∠Q = 48.74°
  • ∠O = 123.24° , ∠P = 29.62° , ∠Q = 27.14°
  • ∠O = 73.74° , ∠P = 53.13° , ∠Q = 53.13°
Question 5
5.
Find the angles of the triangle
  • G
    =
    28°
    ,
    H
    =
    62°
    ,
    I
    =
    90°
  • G
    =
    28°
    ,
    H
    =
    60°
    ,
    I
    =
    92°
  • G
    =
    32°
    ,
    H
    =
    60°
    ,
    I
    =
    88°
  • G
    =
    30°
    ,
    H
    =
    60°
    ,
    I
    =
    90°
  • G
    =
    30°
    ,
    H
    =
    58°
    ,
    I
    =
    92°
Question 6
6.
The ratio between the base angle and the vertical angle of an isosceles triangle is 5 : 8. Find each angle of the triangle
  • A
    =
    78°
    ,
    B
    =
    50°
    ,
    C
    =
    52°
  • A
    =
    82°
    ,
    B
    =
    50°
    ,
    C
    =
    48°
  • A
    =
    78°
    ,
    B
    =
    52°
    ,
    C
    =
    50°
  • A
    =
    80°
    ,
    B
    =
    50°
    ,
    C
    =
    50°
  • A
    =
    80°
    ,
    B
    =
    48°
    ,
    C
    =
    52°
Question 7
7.
    • The median corresponding to the side
    •  


      CD
       
       
  •  


    CF
     
     
  •  


    CD
     
     
  •  


    EH
     
     
  •  


    CG
     
     
  •  


    DG
     
     
Question 8
8.
    • The exterior angles of the triangle are
  • ∠NOL , ∠OLM , ∠PMO
  • ∠POM , ∠QMN , ∠RNO
  • ∠NMK , ∠OKL , ∠PLM
  • ∠ONL , ∠PLM , ∠QMN
  • ∠MNK , ∠NKL , ∠OLN
Question 9
9.
Which of the following are measures of an isosceles right angled triangle ?
  • ∠K = 60° , ∠L = 60° , ∠M = 60°
  • ∠K = 51.32° , ∠L = 45.21° , ∠M = 83.47°
  • ∠K = 93.58° , ∠L = 39.08° , ∠M = 47.34°
  • ∠K = 45° , ∠L = 90° , ∠M = 45°
  • ∠K = 52.62° , ∠L = 67.97° , ∠M = 59.41°
Question 10
10.
In the given figure, calculate the value of x.
  • x
    =
    69.74°
  • x
    =
    67.74°
  • x
    =
    71.74°
  • x
    =
    68.74°
  • x
    =
    70.74°