ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Triangles
Question 1
1.
In the given figure, QR ∥ ST, ∠EBR = 64° and BC = DB. Find the measure of x.
  • x
    =
    50°
  • x
    =
    51°
  • x
    =
    52°
  • x
    =
    53°
  • x
    =
    54°
Question 2
2.
Which of the following are measures of a scalene triangle ?
  • ∠H = 60° , ∠I = 60° , ∠J = 60°
  • ∠H = 47.16° , ∠I = 66.42° , ∠J = 66.42°
  • ∠H = 72.44° , ∠I = 53.78° , ∠J = 53.78°
  • ∠H = 40.16° , ∠I = 75.31° , ∠J = 64.53°
  • ∠H = 45° , ∠I = 90° , ∠J = 45°
Question 3
3.
With the data in the figure, △CDF ≅ △EDF by which property?
  • not congruent
  • SAS Congruency
  • ASA Congruency
  • RHS Congruency
  • SSS Congruency
Question 4
4.
In a right angled triangle, if one of the angles is 49.4°, find the third angle
  • 55.6°
  • 40.6°
  • 45.6°
  • 50.6°
  • 70.6°
Question 5
5.
In the given figure, find the values of x ,y and z.
  • x
    =
    28°
    ,
    y
    =
    38°
    ,
    z
    =
    70°
  • x
    =
    32°
    ,
    y
    =
    38°
    ,
    z
    =
    66°
  • x
    =
    30°
    ,
    y
    =
    38°
    ,
    z
    =
    68°
  • x
    =
    30°
    ,
    y
    =
    36°
    ,
    z
    =
    70°
  • x
    =
    28°
    ,
    y
    =
    40°
    ,
    z
    =
    68°
Question 6
6.
In the given triangle, ∠I = 63.64°. Find the measure of ∠J and ∠K
  • ∠J = ∠K = 56.18°
  • ∠J = ∠K = 59.18°
  • ∠J = ∠K = 57.18°
  • ∠J = ∠K = 60.18°
  • ∠J = ∠K = 58.18°
Question 7
7.
Which of the following are measures of an isosceles right angled triangle ?
  • DE = 10 cm , EF = 22 cm , FD = 15 cm
  • DE = 11 cm , EF = 12 cm , FD = 14 cm
  • DE = 11 cm , EF = 14 cm , FD = 15 cm
  • DE = 14 cm , EF = 14 cm , FD = 19.8 cm
  • DE = 11 cm , EF = 11 cm , FD = 11 cm
Question 8
8.
Which of the following are true?
a)
Area of a convex polygonal region is equal to the sum of the areas of all triangles formed by joining the vertices of the polygon with an interior point.
b)
Area of the union of two polygonal region is not equal to the sum of the individual area.
c)
Area of the union of two polygonal region is the sum of the individual area.
d)
A polygonal region can be divided into a finite number of triangles in a unique way.
  • {c,a}
  • {c,b,a}
  • {d,b}
  • {a,b}
  • {c,d,a}
Question 9
9.
With the data in the figure, △JKM ≅ △JLM by which property?
  • not congruent
  • ASA Congruency
  • SAS Congruency
  • RHS Congruency
  • SSS Congruency
Question 10
10.
Which of the following are measures of a right angled triangle ?
  • ∠A = 57.12° , ∠B = 44.42° , ∠C = 78.46°
  • ∠A = 54.31° , ∠B = 54.31° , ∠C = 71.38°
  • ∠A = 137.17° , ∠B = 20.64° , ∠C = 22.19°
  • ∠A = 40.6° , ∠B = 90° , ∠C = 49.4°
  • ∠A = 60° , ∠B = 60° , ∠C = 60°