Final Answer:
The reason that justifies step 1 is "Given."
The justification for Step 1 as "Given" stems from the explicit information in the problem that QS is 42. This designation serves as an accepted starting point in geometry proofs, acknowledging provided facts without the need for further proof.
Step-by-step explanation:
The first step in the given statements relies on the fact that QS is given as 42. In geometry, the term "Given" is used to denote information that is provided or assumed to be true without requiring proof. In this case, QS=42 is explicitly mentioned in the problem, establishing a foundational piece of information that serves as a starting point for subsequent deductions.
The use of "Given" is a fundamental principle in geometry proofs. It signifies the acceptance of certain facts or measurements without the need for further demonstration. In the context of this problem, Step 1, which states QS=42, is the initial premise upon which the subsequent steps build. It lays the groundwork for the geometric relationships and calculations that follow.
In summary, the reason for justifying Step 1 as "Given" is based on the established value of QS (42) as presented in the problem statement. This designation allows for a solid starting point in the logical progression of the geometric reasoning presented in the subsequent steps.
The reason that justifies step 1 is "Given."