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Mathematics, 07.10.2020 06:01 Lunablum

Se the figure to answer the question that follows: Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

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

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? (5 points)

II, I, III

II, III, I

III, I, II

III, II, I

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Answers: 3

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