Types of Angles - Hamilton Local Schools Home

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Transcript Types of Angles - Hamilton Local Schools Home

Classification
of
Triangles
Table of Contents
Objective
Review
Definition of a Triangle
Samples of Triangular Objects
Types of angles
Congruence of Line Segments
According to Angle Measure
According to Length of sides
Review Questions
Objective:
At the end of the lesson,
the students should be
able to classify triangles.
Triangle
It is a
three
sided
polygon.
A
AC
AB
B
BC
C
Samples of Triangles that
can be seen around us.
Acute Angle
-It is an angle whose measure
is less than 900.
B
A
300
C
<BAC which
is an acute
angle.
Right Angle
-It is an angle whose
measure is equal to 900.
900
Obtuse Angle
- It is an angle whose
measure is greater than
0
0
90 but less than 180 .
1500
How can we
say that two
segments are
Congruent ?
*Two
are
measuresegments
of AB = measure
of CD
congruent if and
A
B
only if they have
C
D
equal length.
10 cm
10 cm
CLASSIFICATION
OF TRIANGLES
According to
angles
According to
sides
*ACUTE TRIANGLE
-All the angles of the
triangle are acute.
K
<J,<K,<L are all
acute angles.
720
600
J
48O
L
RIGHT TRIANGLE
N
-An angle in a triangle
is a right angle.
HYPOTENUSE
leg
900
M
leg
<M is a right
angle.
O
The side opposite the
right angle of a right
triangle is called the
hypotenuse. The other
sides are called legs.
OBTUSE TRIANGLE
- An angle in a triangle is an obtuse
angle.
Q
<P is an
obtuse angle.
1280
P
R
SCALENE TRIANGLE
-No two sides are congruent.
B
AB ~
= BC ~
= CA
A
9 cm
C
ISOSCELES TRIANGLE
-two sides of the are congruent.
E
leg
D
The two equal sides of
an isosceles triangle
are called legs. The
third side is called the
base.
leg
base
DE ~
= FE
F
EQUILATERAL
TRIANGLE
-Three sides are congruent.
H
GH =~ HI ~
= GI
G
I
THE END!!!
Mr.