ICSE Board Practice

ICSE Grade IX - Triangles
Question 1
1.
    • In the given figure, △IJK is a triangle in which ∠J = 68.01° and ∠K = 53.13°.
    • If 'z' is the angle between the bisector of ∠J and ∠K, then find z.
  • 118.43°
  • 120.43°
  • 121.43°
  • 119.43°
  • 117.43°
Question 2
2.
Which of the following are true?
a)
A square is a polygonal region.
b)
A sector is a polygonal region.
c)
A circle is a polygonal region.
d)
A semi-circle is a polygonal region.
e)
A triangle is a polygonal region.
  • {c,e,a}
  • {b,a}
  • {a,e}
  • {d,b,a}
  • {c,e}
Question 3
3.
In the following figure, two sides of a triangle have been produced. Find all the angles of the triangle.
  • x
    =
    60°
    ,
    y
    =
    43°
    ,
    z
    =
    77°
  • x
    =
    62°
    ,
    y
    =
    45°
    ,
    z
    =
    73°
  • x
    =
    60°
    ,
    y
    =
    45°
    ,
    z
    =
    75°
  • x
    =
    58°
    ,
    y
    =
    47°
    ,
    z
    =
    75°
  • x
    =
    58°
    ,
    y
    =
    45°
    ,
    z
    =
    77°
Question 4
4.
With the data in the figure, △FGI ≅ △JHI by which property?
  • not congruent
  • SAS Congruency
  • ASA Congruency
  • RHS Congruency
  • SSS Congruency
Question 5
5.
In the given figure, if FC = DF and CG = GE , find the value of x.
  • x
    =
    57.62°
  • x
    =
    58.62°
  • x
    =
    56.62°
  • x
    =
    54.62°
  • x
    =
    55.62°
Question 6
6.
How many diagonals does a triangle have?
  • 4
  • 0
  • 1
  • 3
  • 2
Question 7
7.
In a right angled triangle, if one of the sides is 10 cm and hypotenuse 26 cm, find the third side
  • 25.00 cm
  • 23.00 cm
  • 24.00 cm
  • 22.00 cm
  • 26.00 cm
Question 8
8.
    • In the given figure,
    • △IJK
    • is a triangle in which
    • ∠I
    • =
    • ∠J
    • =
    • ∠K
    • .
    • This bisectors of
    • ∠J
    • and
    • ∠K
    • intersect at
    • L
    • .
    • Find
    • ∠L
    • =
  • 122°
  • 118°
  • 121°
  • 119°
  • 120°
Question 9
9.
With the data in the figure, △ABD ≅ △CBD by which property?
  • RHS Congruency
  • SSS Congruency
  • ASA Congruency
  • not congruent
  • SAS Congruency
Question 10
10.
    • The point of intersection of the medians of a triangle is called
  • circumcentre
  • orthocentre
  • altitude
  • centroid
  • excentre