Download Types of Angles

____(0-10 pts) Describe the different types of triangles and explain how we use these types to classify
triangles into categories. Give at least 5 examples.
____(0-10 pts) Describe the parts of a triangle. Include an explanation about interior and exterior angles,
and the Triangle Sum Theorem. Give at least 3 examples of each.
____(0-10 pts) Describe the exterior angle theorem. How can it be used? Give at least 3 examples.
____(0-10 pts) Describe what congruence means for shapes. Include a discussion about Corresponding
Parts of Congruent Triangles (CPCT). Give at least 3 examples.
____(0-10 pts) Describe how to prove that two triangles are congruent using the SSS postulate. Give at
least 3 examples.
____(0-10 pts) Describe how to prove that two triangles are congruent using the SAS postulate. Give at
least 3 examples.
____(0-10 pts) Describe how to prove that two triangles are congruent using the ASA postulate. Give at
least 3 examples.
____(0-10 pts) Describe how to prove that two triangles are congruent using the AAS postulate. Give at
least 3 examples.
 Acute triangle: All angles are acute
 Equitriangle: All angles are congruent acute
 Right triangle: With 1 right angle
 Obtuse triangle: with 1 obtuse angle
 They are classified by that names and by equilateral
triangle that has three congruent sides, isosceles that
has at least two congruent sides, and scalene that has
no congruent sides.
Obtuse isosceles
Equilateral
acute
Right
scalene
Acute
isosceles
Scalene Obtuse
Triangles
 Triangles have Exterior and interior angles each play
important role in triangles.
 Exterior to compare with other triangles and interior to
classify them and to measure them.
 The Triangle Sum Theorem is that a triangles should
always be 180º
60 +60+x=180
180-120 = 60
x=60º
1.
x
65-8+54=111
180-111=69
X=69º
90+45=180
180-135=45
x=45º
2. X
3.
60º
60º
90
X
45
65-8
54
Exterior angle theorem
 The measure of an exterior angle of a triangle is equal
to the sum of the measures of its remotes interior
angles.
 It can be used to measure important angles in our
future like in a carpenter.
triangle congruency
 Congruent shapes always have in common the same
measure of lines and angles.
 CPCT is an abbreviation to Corresponding Parts of
Congruent Triangles, it is used as a justification of a
proof
SSS
 SSS means side side side , it is used to compare to
angles by having all sides congruent and equal.
1
2
SAS
 It means side angle side, it is if two sides and an angle
of a triangle is congruent to the other two sides and
angle then the triangle is congruent
ASA
 ASA stands for angle side angle, it is when two angles
and a side is congruent to the other triangles same
angles and side then the triangles are congruent
AAS
 AAS stands for angle angle side, if two angles and a
nonincluded side of a triangle is congruent to another
triangle’s nonicluded side and two angles then the two
triangles are congruent.