Today we learned how to prove congruent triangles using postulates and theorems. We proves the postulates and theorems using a triangle construction worksheet. You know the postulate or theorem works when there is only one true possible way to make the triangle complete. (sorry it's blurry, but this is the worksheet we did during class)
I put check marks next to the postulates/theorems that worked, and an x by the one that did not. S means Side, and A means angle.
Postulates/theorems that will work:
SSS
SAS
ASA
AAS
Postulates/theorems that will NOT work:
SSA
AAA
*Working postulates/theorems may be used in a proof as a justification to prove justification, and you only have to right the side-angle combination. (i.e. SAS, SSS,...ect.)
Triangles may also be similar, meaning there angles are congruent but sides are not. (Hence the reason AAA does not work)
Well I'm pretty sure that's about all we covered :D
Yupp!
Have fun with the homework, sorry this is so late!
-Maggie Ridenour
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