A statement which appears to be true but has not been proven to be so, is a postulate.
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
similar - SAS
Euclid's second postulate allows that line segment to be extended farther in that same direction, so that it can reach any required distance. This could result in an infinitely long line.
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.
Might not be congruent
OK, so know your alphabet. Very good. How fast can you say it backwards?
SAS
not congruent
Congruent - SAS
congruent - asa
Congruent - SSS
similar - AA
not congruent
yes
APEX Congruent-SAS
A statement which appears to be true but has not been proven to be so, is a postulate.