Question

MEDAL ??
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ.:

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. ________________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate.

Answer 1

Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Which phrase accurately completes the proof?

∠SQU ≅ ∠VQT
∠SQU ≅ ∠WRS
∠WRS ≅ ∠VQT
∠WRS ≅ ∠ZRT

Answer 2

What is the Vertical Angles Theorem?

Answer 3

"________________ by the Vertical Angles Theorem. "
The blank you have is the statement that uses as reason the Vertical Angles Theorem.
If you know what the Vertical angles Theorem states, then you can figure out what the statement has to be.