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
UV ||WZ
Given
Points S, Q, R, and T all lie on the same line.
Given
m2 SQT = 180°
Definition of a Straight Angle
m2 SQV + m2 VQT = m2 SOT
Angle Addition Postulate
m2 SQV + m2 VQT = 180°
Substitution Property of
Equality
m2 SQV + m2VQT - m2VQT = m2VQT +
Im ZZRS - mkVQT
m 2 SQV = m ZZRS
Subtraction Property of
Equality
I m2 SQV + m2VQT = m2VQT + m 2ZRS
Substitution Property of
Equality
III m2VQT + m2 ZRS = 180°
Same-Side Interior Angles
Theorem
Definition of Congruency
SQV = ZZRS
Which is the most logical order of statements and reasons I, II, and III to complete the
proof? (5 points)