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similar - SAS
Similar -AA (got it right on apex)
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
BSE TES stands for Balance Scale Equivalence Teorem Theorem Exposing Strategy. It is not clear what postulate or theorem is being referred to in this context, as the abbreviation does not match any commonly known mathematical postulates or theorems.
There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. We have no idea what triangles uvw and xyz are! It would also be useful to develop the habit of checking your questions for completeness before posting them.
Cannot be determined
Cannot be determined if it has 10 as a middle line between the two triangles.
similar aa
Similar - SAS
similar - SAS
(Apex) Similar- SAS
Similar - SAS
not congruent
Can be determined
Might not be congruent
cannot be determined Similar-AA
not congruent