classification of triangle
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Table of ContentsTable of ContentsObjective
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
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Objective:Objective:
At the end of the lesson, At the end of the lesson, the students should be the students should be able to classify triangles.able to classify triangles.
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TriangleTriangleIt is a It is a three three sided sided polygon.polygon.
AA
BB CC
ACAB
BC
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Samples of Triangles that can be seen around us.
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Acute AngleAcute Angle-It is an angle whose measure -It is an angle whose measure
is less than 90is less than 9000..
300
AA
BB
CC
<BAC which <BAC which is an acute is an acute angle.angle.
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Right Angle-It is an angle whose -It is an angle whose
measure is equal to 90measure is equal to 9000..
900
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Obtuse Angle- It is an angle whose - It is an angle whose
measure is greater than measure is greater than 909000 but less than 180 but less than 18000..
1500
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How can we say that two segments are Congruent ?
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*Two segments are congruent if and only if they have
equal length.C D
10 cm
10 cm
measure of AB = measure of CD
A B
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CLASSIFICATION OF TRIANGLES
According to anglesAccording to angles
According to sidesAccording to sides
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600 48O
*ACUTE TRIANGLE*ACUTE TRIANGLE-All the angles of the -All the angles of the
triangle are acute.triangle are acute.
J LJ L
KK
720 <J,<K,<L are all acute angles.
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RIGHT TRIANGLERIGHT TRIANGLE-An angle in a triangle -An angle in a triangle
is a right angle.is a right angle.
909000
M OM O
NN
<M is a right angle.
leg
leg
The side opposite the right angle of a right triangle is called the hypotenuse. The other sides are called legs.
HYPOTENUSE
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OBTUSE TRIANGLEOBTUSE TRIANGLE- An angle in a triangle is an obtuse - An angle in a triangle is an obtuse
angle.angle.
PP
1281280 0
<P is an <P is an obtuse angle.obtuse angle.
RR
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SCALENE TRIANGLESCALENE TRIANGLE
--No two sides are congruent.No two sides are congruent.
AA
BB
AAB B == BCBC == CACA
4 cm
6 cm
CC9 cm
~~~~
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D FD F
ISOSCELES TRIANGLEISOSCELES TRIANGLE--two sides of the are congruent.two sides of the are congruent.
EE
DE = FEDE = FE
basebase
legleg legleg
The two equal sides of an isosceles triangle are called legs. The third side is called the base.
~~
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EQUILATERAL EQUILATERAL TRIANGLETRIANGLE
--Three sides are congruent.Three sides are congruent.
G IG I
HH
GH = HI = GIGH = HI = GI~~ ~~
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Reported to:
Salvador
Salazar
Reported by: Jeremy
Javier Mr.
THETHE END!!!END!!!