Download JOURNAL TRIANGLEs

JOURNAL TRIANGLEs
Mateo Safie
Types of Triangles
• Equilateral: a triangle whose sides are all the
same.
• Equiangular: a triangle which all angles are the
same.
• Isosceles: a triangle that only has two equal
sides
• Scalene: a triangle that has no equal side
PARTS OF A TRIANGLE
• A triangle is formed out of thee sides and tree
angles.
• The triangle sum Thm. states that the sum of
all the angles has to be equal to 180 degree.
EXTERIOR ANGLES
• The exterior angle Thm. States that the
measure of an exterior angle of a triangle is
equal to the sum of the measures of the two
non-adjacent interior angles of the triangle
and the exterior angle is supplementary tor
the adjacent angle.
Exterior angles ex:
37.5
37.5
40
75 105
80
40
40
40
80
CPCT
• Congruence in complete shapes is more
complex because all of the sides and angles
have to be in the same side.
• CPCT means that once we know that
two triangles are congruent, we know that
all corresponding sides and angles are
congruent!
CPCT ex:
<ABC is not = to <BAC
4cm
1cm
1cm
3 cm
4cm
3 cm
4cm
4cm
4cm
4cm
4cm
4cm
SSS
• The side side side postulate states that if all
sides from one triangle are equal to all sides
from other triangle, then the triangles are
congruent.
SSS ex:
7cm
5cm
5cm
7cm
4cm
4cm
1cm
4cm
3cm
5cm
4cm
3cm
1cm
3cm
1cm
3cm
1cm
SAS
• The side angle side postulate states that if two
sides and one angle are equal to two sides and
one angle from another triangle, then both
triangles are congruent
SAS ex:
85
3cm
85
3cm
5cm
6cm
35
90
5cm
90
35
6cm
6cm
ASA, AAS
• ASA and AAS postulates state that if two
angles and one side are equal to other two
angles an ones side, both of the triangles are
congruent.
ASA ex:
75
75
6cm
6cm
55
20
40
85
4cm
55
25
40
25
85
20
AAS ex:
7cm
7cm
75
55
75
55
20
40
40
25
85
4cm
25
85
4cm
20