Mathematics, 09.10.2020 15:01 ChiefRedCloud
Use 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 The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent: Step Statements Reasons 1 segment UV is parallel to segment WZ Given 2 Points S, Q, R, and T all lie on the same line. Given 3 m∠SQT = 180° Definition of a Straight Angle 4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate 5 m∠SQV + m∠VQT = 180° Substitution Property of Equality 6 Same-Side Interior Angles Theorem 7 m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality 8 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 What is the missing statement for step 6? m∠SQV + m∠VQT = 180° m∠SQV + m∠SQT = m∠VQT m∠SQV + m∠SQT = 180° m∠VQT + m∠ZRS = 180°
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Use the figure to answer the question that follows: segments UV and WZ are parallel with line ST int...
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