Yes, QRS is TUV if it satisfies the conditions of the postulate of congruence, specifically the "Side-Angle-Side" (SAS) postulate. According to the SAS postulate, if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the two triangles are congruent. Thus, if QRS and TUV meet these criteria, they are indeed congruent.
A statement which appears to be true but has not been proven to be so, is a postulate.
To determine if angle UVW is congruent to angle XYZ, we need to know if they have the same measure or if they are formed by the same lines or points. If they are both measured as equal or if they are vertical angles, then they are congruent. The postulate that applies in such a case is the Angle Congruence Postulate, which states that if two angles have the same measure, they are congruent.
If you are referring to the congruence of triangles formed by segments labeled as "a," "b," "c," "d," "e," and "f," the applicable postulate would depend on the specific relationships between these segments. For example, if two triangles share two sides and the included angle, you could apply the Side-Angle-Side (SAS) Congruence Postulate. Alternatively, if they have three sides of equal length, you would use the Side-Side-Side (SSS) Congruence Postulate. More details about the relationships would help clarify which postulate applies.
None; because there is no justification for assuming that the two triangles (or trangles, as you prefer to call them) are similar.
similar - SAS
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.