The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent: Step
Statements
Reasons
11 UV||WZ
Given
2 Points S, Q, R, and T all lie on the same line.
Given
B m2 SQT = 180°
Definition of a Straight Angle
4 m2 SQV + m2VQT = m_SQT
Angle Addition Postulate
Þ mZSQV + m2VQT = 180°
Substitution Property of Equality
6 MZVQT + m ZZRS = 180°
Same-Side Interior Angles Theorem
7
Substitution Property of Equality
m2 SQV + m2VQT-m2VQT = m2VQT + m2 ZRS - m2VQT
Subtraction Property of Equality
MZSQV = m ZRS
SQV & ZZRS
Definition of Congruency
What is the missing statement for step 7? (5 points)
Оа
m2 SQV + m2VQT = 180°
Oь
mZVOT + m2 ZRS = 180°
Oc
m2 SQV + m ZVQT = m_VQT + m2ZRS
Od
m2 SQV + m2 SQT = 180°