Question

When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent.

Answer 1

Statements Reasons
segment UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line. Given
m∠SQT = 180° Definition of a Straight Angle
m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠SQV + m∠VQT = 180° Substitution Property of Equality
I m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
II m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
III m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
∠SQV ≅ ∠ZRS Definition of Congruency


Which is the most logical order of statements and reasons I, II, and III to complete the proof?
II, I, III

II, III, I

III, I, II

III, II, I

Answer 2

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Answer 3

@djcool31

Answer 4

yo i suck at math im sorry yo ;p