ICSE Board Practice

ICSE Grade IX - Triangles
Question 1
1.
In the given figure, which pair of triangles are not congruent ?
  • fig 2
  • fig 3
  • fig 4
  • fig 1
Question 2
2.
With the data in the given figure, △DGO ≅ △EFO by which property?
  • SSS Congruency
  • ASA Congruency
  • RHS Congruency
  • SAS Congruency
  • not congruent
Question 3
3.
In the given figure, points P , Q and R are the mid-points of sides NO, OM and MN of △MNO. Which of the following are true?
a)
    • Area of
    • △MNO
    • =
    • 1

      3
    • area of
    • △PQR
b)
All four small triangles have equal areas
c)
Area of trapezium NOQR is thrice the area of △MRQ
d)
    • Area of trapezium
    • NOQR
    • is
    • 1

      4
    • the area of
    • △MNO
e)
Area of △MNO = 4 times area of △PQR
  • {b,c,e}
  • {a,b}
  • {d,c}
  • {a,d,e}
  • {a,b,c}
Question 4
4.
    • The angles of the triangle are
  • ∠I , ∠J , ∠L
  • ∠H , ∠I , ∠K
  • ∠H , ∠I , ∠J
  • ∠I , ∠J , ∠K
  • ∠J , ∠K , ∠L
Question 5
5.
    • The side opposite to the vertex
    • R
  •  


    TR
     
     
  •  


    SQ
     
     
  •  


    QU
     
     
  •  


    RS
     
     
  •  


    QR
     
     
Question 6
6.
With the given data in the figure, △JKL ≅ △LMJ by which property?
  • SSS Congruency
  • SAS Congruency
  • ASA Congruency
  • not congruent
  • RHS Congruency
Question 7
7.
Which of the following are measures of an isosceles triangle ?
  • ∠D = 51.34° , ∠E = 90° , ∠F = 38.66°
  • ∠D = 50.13° , ∠E = 56.25° , ∠F = 73.62°
  • ∠D = 38.94° , ∠E = 70.53° , ∠F = 70.53°
  • ∠D = 69.98° , ∠E = 61.28° , ∠F = 48.74°
  • ∠D = 60° , ∠E = 60° , ∠F = 60°
Question 8
8.
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
    =
    22°
    ,
    B
    =
    80°
    ,
    C
    =
    78°
  • A
    =
    18°
    ,
    B
    =
    82°
    ,
    C
    =
    80°
Question 9
9.
Which of the following are measures of an acute angled triangle ?
  • ∠J = 51.84° , ∠K = 90° , ∠L = 38.16°
  • ∠J = 45° , ∠K = 90° , ∠L = 45°
  • ∠J = 109.47° , ∠K = 38.94° , ∠L = 31.59°
  • ∠J = 40.16° , ∠K = 75.31° , ∠L = 64.53°
  • ∠J = 121.19° , ∠K = 34.77° , ∠L = 24.04°
Question 10
10.
Sum of the interior angles in a triangle is
  • 195°
  • 180°
  • 210°
  • 185°
  • 190°