S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!
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Transcript of S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!
![Page 1: S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649cee5503460f949bc555/html5/thumbnails/1.jpg)
SS
Proving Triangles CongruentProving Triangles Congruent
SSSS
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SS
Proving Triangles CongruentProving Triangles Congruent
AASS
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AA
Proving Triangles CongruentProving Triangles Congruent
SSAA
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AA
Proving Triangles CongruentProving Triangles Congruent
AASS This one is a THEOREM!!
![Page 5: S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649cee5503460f949bc555/html5/thumbnails/5.jpg)
Proving Triangles CongruentProving Triangles Congruent
HHLL This one is a THEOREM!!
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CAUTION!!CAUTION!!
BE CAREFUL!!!NOT ALL combinations S & A will give congruent triangles.
![Page 7: S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649cee5503460f949bc555/html5/thumbnails/7.jpg)
AAAAAA•AAA is NOT a method to
prove two triangles congruent. It will show two triangles that have the same SHAPE, but NOT necessarily the same SIZE!!
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SSA (OR ASS)SSA (OR ASS)• This is humorously
referred to as the Donkey Theorem. It is NOT a valid way to show two triangles are congruent!!
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1
LKN LMN by SAS Postulate
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2
Not Congruent
![Page 11: S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649cee5503460f949bc555/html5/thumbnails/11.jpg)
3
FGH JKL by SAS Postulate
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4
LKN LMN by SAS Postulate
![Page 13: S Proving Triangles Congruent SS. S AS A SA A AS This one is a THEOREM!!](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649cee5503460f949bc555/html5/thumbnails/13.jpg)
5
Not Congruent
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6
XYZ TUV by SSS Postulate
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7T
E G
I
R
ERT IRG by ASA Postulate
Vertical Angles Theorem
Alternate Interior Angles Theorem