5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
4­5
Prove Triangles Congruent by
ASA and AAS
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5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
Postulate 19 ­ ASA Postulate
If 2<'s and the included sides of both triangles are congruent, then the triangles are congruent.
Theorem 4­7 AAS
If 2 pairs of <'s and a non­included side are congruent on both triangles, then the triangles are congruent.
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5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
Are these triangles congruent?
Not congruent because parts must correspo
No, Corresponding parts must line­up!
Notice: Possible ways to prove triangles .
1.) SSS Postulate
2.) SAS Postulate
3.) ASA Postulate
4.) AAS Theorem
5.) H­L Theorem
Notice: pictures (Concept summary) on p. 252.
Also notice: Cannot prove triangles ≅ by:
1.) AAA or SSA
http://www.algebra.com/algebra/homework/Triangles/Geometry­Proving­Triangles­
Congruent.lesson
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5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
E
B
Prove AAS Theorem
A
C
D
F
Given: <A <D, <B <E, BC EF
Prove: ABC DEF
1.) <A <D, <B <E
2.) <C <F
3.) BC EF
4.) ABC DEF
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5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.
1.) 2.)
3.)
Can STW and VWT be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use.
4.)
5.)
S
S
T
V
600
U
600
W
T
V
W
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5­5 Proving Triangles Congruent by ASA and AAS.notebook
December 09, 2016
Homework:
p. 252­255/3­10, 14, 15, 32­34
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