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Class VI
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Class IX
Class X
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
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