Question

Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

Answer 1

Which term accurately completes the proof?
  Alternate interior
  Corresponding
  Same-side interior
  Vertical

Because angles SQU and WRS are  CORRESPONDING angles, they are congruent according to the CORRESPONDING Angles Postulate

Answer 2

The correct answer is:

Corresponding (for both blanks)

Explanation:

Corresponding angles are angles that are in the same relative position to both the parallel line they are on and the transversal.  In this case, SQU and WRS are both above the parallel line they are on and on the same side of the transversal; this makes them corresponding angles.  This also means it is the corresponding angles postulate.