Final answer:
If 'SRQ = 4TUQ' is the first statement in a two-column proof, the reason for this statement is most likely 'Given', as it is a piece of information that is provided and does not require further proof.
Step-by-step explanation:
In a two-column geometry proof, when a statement like SRQ = 4TUQ is presented, the reason for this statement heavily depends on the previous statements and given information. If Statement 1 is the initial statement in the proof, the most common reason would be Given, which means it is a piece of information provided without the need for further proof or explanation. Reasons such as Algebraic manipulation, The transitive property, or Geometric construction typically follow from applying certain rules or operations to previous statements or constructions within the proof process. In this case, no operations or rules application is indicated, so the most likely reason is that it is a given fact. In mathematics, and especially in the field of geometry, relying on givens is crucial for building and progressing through a proof.