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

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
I m∠SQV + m∠VQT = 180° Substitution Property of Equality
II m∠SQT = 180° Definition of a Straight Angle
III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠VQT

Question

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

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
I	m∠SQV + m∠VQT = 180°	Substitution Property of Equality
II	m∠SQT = 180°	Definition of a Straight Angle
III	m∠SQV + m∠VQT = m∠SQT	Angle Addition Postulate
 	m∠VQT