Reasons Given

Step

Statements

1 UV || WZ

Points S, Q, R, and T all lie on the same line.

m_SQT = 180°

Given

Definition of a Straight Angle

mSQV+ m_VQT = m_SQT

Angle Addition Postulate

Substitution Property of Equality

m2 SQV + m_VQT = 180°

m_VQT + MZZRS = 180°

6

Same-Side Interior Angles Theorem

Substitution Property of Equality

m2 SQV + m2VQT - m2VQT = m_VQT + m2ZRS - M2VQT

m2 SQV = m_ZRS

Subtraction Property of Equality

SQV = LZRS

Definition of Congruency

What is the missing statement for step 7?