SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade VII - Triangles and Its Properties
Question 1
1.
Find the unknown marked angles in the following figure
  • x
    =
    94°
    ,
    y
    =
    118°
  • x
    =
    90°
    ,
    y
    =
    114°
  • x
    =
    93°
    ,
    y
    =
    117°
  • x
    =
    91°
    ,
    y
    =
    115°
  • x
    =
    92°
    ,
    y
    =
    116°
Question 2
2.
Consider the following figure. State which of the following statements are true
a)
    •  

      KL
       
       
    • ≠
    •  

      LJ
       
       
b)
    •  

      LJ
       
       
    • =
    •  

      JK
       
       
c)
    •  

      KL
       
       
    • =
    •  

      LJ
       
       
d)
    •  

      JK
       
       
    • ≠
    •  

      KL
       
       
e)
    •  

      JK
       
       
    • =
    •  

      KL
       
       
f)
    •  

      LJ
       
       
    • ≠
    •  

      JK
       
       
  • {c,a,d}
  • {b,a}
  • {e,b,f}
  • {c,d}
  • {a,d,f}
Question 3
3.
    • The line joining each vertex to the mid-point of the opposite side of a triangle is called
  • altitude
  • circumcentre
  • incentre
  • median
  • centroid
Question 4
4.
Which of the following are measures of an equilateral triangle ?
  • OP = 13 cm , PQ = 15 cm , QO = 13 cm
  • OP = 14 cm , PQ = 14 cm , QO = 14 cm
  • OP = 15 cm , PQ = 13 cm , QO = 19.85 cm
  • OP = 10 cm , PQ = 10 cm , QO = 14.14 cm
  • OP = 10 cm , PQ = 12 cm , QO = 11 cm
Question 5
5.
In the given figure, calculate the value of x.
  • x
    =
    132°
  • x
    =
    131°
  • x
    =
    129°
  • x
    =
    130°
  • x
    =
    128°
Question 6
6.
In an isosceles triangle, each base angle is four times its vertical angle. Find each angle of the triangle.
  • A
    =
    18°
    ,
    B
    =
    80°
    ,
    C
    =
    82°
  • A
    =
    20°
    ,
    B
    =
    80°
    ,
    C
    =
    80°
  • A
    =
    20°
    ,
    B
    =
    78°
    ,
    C
    =
    82°
  • A
    =
    18°
    ,
    B
    =
    82°
    ,
    C
    =
    80°
  • A
    =
    22°
    ,
    B
    =
    80°
    ,
    C
    =
    78°
Question 7
7.
In the following figure, one side of a triangle has been produced. Find the values of x and y.
  • x
    =
    42°
    ,
    y
    =
    107°
  • x
    =
    41°
    ,
    y
    =
    106°
  • x
    =
    39°
    ,
    y
    =
    104°
  • x
    =
    40°
    ,
    y
    =
    105°
  • x
    =
    38°
    ,
    y
    =
    103°
Question 8
8.
Which of the following are measures of a right angled triangle ?
  • PQ = 15 cm , QR = 15 cm , RP = 15 cm
  • PQ = 14 cm , QR = 12 cm , RP = 11 cm
  • PQ = 12 cm , QR = 10 cm , RP = 13 cm
  • PQ = 15 cm , QR = 18 cm , RP = 10 cm
  • PQ = 12 cm , QR = 11 cm , RP = 16.28 cm
Question 9
9.
Which of the following are measures of an isosceles triangle ?
  • IJ = 14 cm , JK = 12 cm , KI = 18.44 cm
  • IJ = 11 cm , JK = 12 cm , KI = 14 cm
  • IJ = 13 cm , JK = 11 cm , KI = 13 cm
  • IJ = 13 cm , JK = 13 cm , KI = 13 cm
  • IJ = 12 cm , JK = 10 cm , KI = 11 cm
Question 10
10.
One of the two equal angles of an isosceles triangle measures 65°. Find the measure of each angle of the triangle.
  • A
    =
    65°
    ,
    B
    =
    63°
    ,
    C
    =
    52°
  • A
    =
    67°
    ,
    B
    =
    65°
    ,
    C
    =
    48°
  • A
    =
    63°
    ,
    B
    =
    67°
    ,
    C
    =
    50°
  • A
    =
    65°
    ,
    B
    =
    65°
    ,
    C
    =
    50°
  • A
    =
    63°
    ,
    B
    =
    65°
    ,
    C
    =
    52°