1. In a two-column geometric proof, what is the primary purpose of the 'Reasons' column?
2. In a formal proof, the final 'Conclusion' must be identical to which other part of the proof structure?
3. In a proof, a statement indicates that the sum of angles forming a straight line is $180°$. The corresponding reason justifying this statement is the ___ Postulate.
4. A proof has Statement 2 as '$m\angle A = m\angle B$' and Statement 3 as '$m\angle A + m\angle C = 90°$'. If the reason for Statement 4 is 'Substitution', what is Statement 4? $m\angle B + m\angle C = \_\_\_°$.
5. Which component of a geometric proof contains the initial facts and conditions that are accepted as true without needing proof themselves?
6. In a five-step geometric proof, what is the primary purpose of the "Given" section?
7. In a formal proof, the final "Conclusion" must be identical to which other part of the proof structure?
8. A proof shows that two parallel lines are cut by a transversal. A statement claims two corresponding angles, `$\angle 2$and$\angle 6$`, are congruent. The reason for this is the ___ Postulate.
9. Which of the following is an example of a justification that would appear in the 'Reasons' column of a proof?
10. A proof begins with the hypothesis, "Prove: `$\angle X$and$\angle Y$` are supplementary." After a series of logical steps, the final conclusion must be: ___.