Q H.

The two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:

Step

Statements

Reasons

1

UV || WZ

Given

2

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

Given

3

mZSQT = 180°

Definition of a Straight Angle

Angle Addition Postulate

4

m2SQV + m2VQT = m_SQT

5

Substitution Property of Equality

6

m2VQT + mZZRS = 180°

Same-Side Interior Angles Theorem

Substitution Property of Equality

7

m2SQV+mZVQT = m2VQT + mZZRS