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Transcript
Geometry
4.5 Notes
Name _____________________________
Angle-Angle-Side (AAS) Congruence Theorem
If two angles and a non-included side of one triangle are
congruent to two angles and the corresponding non-included
side of a second triangle, then the two triangles are congruent.
State the third congruence that is needed to prove that
using the given postulate or theorem.
a)
b)
c)
Explain how you can prove that the indicated triangles are congruent using the given postulate or theorem.
a)
AED  BDC by ASA
b)
AED  BDE by AAS
c)
AFE  DFB by SAS
Tell whether you can use the given information to determine whether
reasoning.
a)
c)
b)
Explain your
d)
Is it possible to prove that the triangles are congruent? If so, state the postulate(s) or theorem(s) you would use.
Proof #1
Statements
Proof #2
Reasons
Proof #3
Statements
Proof #5
Statements
Reasons
Proof #4
Statements
Reasons
Statements
Reasons
Reasons