When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Statements Reasons segment UV is parallel to segment WZ Given Points S, Q, R, and T all lie on the same line. Given I m∠SQT = 180° Definition of a Straight Angle II m∠SQV + m∠VQT = 180° Substitution Property of Equality III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT m∠SQV = m∠ZRS Subtraction Property of Equality ∠SQV ≅ ∠ZRS Definition of Congruency
Which is the most logical order of statements and reasons I, II, and III to complete the proof? I, III, II II, I, III II, III, I III, I, II
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