Download Triangle Congruence by ASA and AAS

Triangle Congruence by
ASA and AAS
Acadamic Geometry
Before we start…let’s get a few things straight
C
A
Y
B
X
INCLUDED SIDE
Z
Postulate 4-3
Angle-Side-Angle (ASA) Postulate
If two angles and the included side of one triangle are
congruent to two angles and the included side of
another triangle, then the two triangles are
congruent.
Triangle GBH is congruent to Triangle KPN
p
b
g
h
n
k
Angle-Side-Angle (ASA)
Congruence Postulate
Two angles and the INCLUDED side
ASA
Which triangle is congruent to Triangle CAT by
the ASA postulate?
o
d
c
i
g
t
a
n
f
ASA
Prove that Triangle NML is congruent to Triangle NPO
l
Given: NM congurent NP
Angle M congruent to Angle P
p
n
m
Statement
Reason
o
Theorem 4-2
Angle-Angle-Side (AAS) Theorem
If two angles and a nonincluded side of one triangle are
congruent to two angles and the corresponding nonincluded
side of another triangle, then the triangles are congruent
Triangle CDM is congruent to Triangle XGT
x
a
b
y
c
z
Angle-Angle-Side (AAS)
Congruence Postulate
Two Angles and One Side that is
NOT included
Writing a Proof
Given XQ || TR, XR bisects QT
Prove Triangle XMQ congruent Triangle RMT
q
Statements
Reasons
x
m
r
t
}
NO BAD
WORDS
Your Only Ways
To Prove
Triangles Are
Congruent