CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade VII - The Triangle and its Properties
Question 1
1.
    • The vertex opposite to the side
    •  

      ST
       
       
  • V
  • R
  • S
  •  

    TU
     
     
Question 2
2.
Calculate the value of the lettered angle in the following figure
  • x
    =
    34.9°
  • x
    =
    33.9°
  • x
    =
    37.9°
  • x
    =
    36.9°
  • x
    =
    35.9°
Question 3
3.
In the given triangle, ∠G = 52.34°. Find the measure of ∠H and ∠I
  • ∠H = ∠I = 61.83°
  • ∠H = ∠I = 64.83°
  • ∠H = ∠I = 62.83°
  • ∠H = ∠I = 65.83°
  • ∠H = ∠I = 63.83°
Question 4
4.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
  • D
    =
    60°
    ,
    E
    =
    45°
    ,
    F
    =
    75°
  • D
    =
    60°
    ,
    E
    =
    43°
    ,
    F
    =
    77°
  • D
    =
    58°
    ,
    E
    =
    47°
    ,
    F
    =
    75°
  • D
    =
    62°
    ,
    E
    =
    45°
    ,
    F
    =
    73°
  • D
    =
    58°
    ,
    E
    =
    45°
    ,
    F
    =
    77°
Question 5
5.
Which of the following are measures of an isosceles triangle ?
  • ∠L = 47.49° , ∠M = 90° , ∠N = 42.51°
  • ∠L = 66.74° , ∠M = 56.63° , ∠N = 56.63°
  • ∠L = 61.26° , ∠M = 71.79° , ∠N = 46.95°
  • ∠L = 60° , ∠M = 60° , ∠N = 60°
  • ∠L = 69.98° , ∠M = 61.28° , ∠N = 48.74°
Question 6
6.
The ratio between the base angle and the vertical angle of an isosceles triangle is 11 : 14. Find each angle of the triangle
  • A
    =
    70°
    ,
    B
    =
    55°
    ,
    C
    =
    55°
  • A
    =
    72°
    ,
    B
    =
    55°
    ,
    C
    =
    53°
  • A
    =
    70°
    ,
    B
    =
    53°
    ,
    C
    =
    57°
  • A
    =
    68°
    ,
    B
    =
    57°
    ,
    C
    =
    55°
  • A
    =
    68°
    ,
    B
    =
    55°
    ,
    C
    =
    57°
Question 7
7.
Which of the following are measures of an equilateral triangle ?
  • MN = 13 cm , NO = 13 cm , OM = 13 cm
  • MN = 14 cm , NO = 14 cm , OM = 19.8 cm
  • MN = 11 cm , NO = 10 cm , OM = 15 cm
  • MN = 15 cm , NO = 11 cm , OM = 18.6 cm
  • MN = 10 cm , NO = 13 cm , OM = 10 cm
Question 8
8.
Find the measures of the three sides suitable to form a triangle?
  • NO = 20 cm , OP = 8 cm , PN = 9 cm
  • NO = 5 cm , OP = 5 cm , PN = 17 cm
  • NO = 6 cm , OP = 13 cm , PN = 5 cm
  • NO = 10 cm , OP = 10 cm , PN = 15 cm
  • NO = 17 cm , OP = 9 cm , PN = 7 cm
Question 9
9.
In a right-angled triangle, the two acute angles are in the ratio 2 : 1. Find these angles.
  • A
    =
    58°
    ,
    C
    =
    28°
  • A
    =
    62°
    ,
    C
    =
    32°
  • A
    =
    60°
    ,
    C
    =
    30°
  • A
    =
    61°
    ,
    C
    =
    31°
  • A
    =
    59°
    ,
    C
    =
    29°
Question 10
10.
    • The median corresponding to the side
    •  

      CD
       
       
  •  

    CF
     
     
  •  

    CD
     
     
  •  

    DG
     
     
  •  

    EH
     
     
  •  

    CG