Question

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

According to the given information, segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are _____________ angles, they are congruent according to the ____________ Angles Postulate. Finally, angle VQT is congruent to angle WRS.

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)

Step-by-step 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.