Question

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 segments that intersect with line ST 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 Theorem. 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 1

Answer:

• ∠SQU ≅ ∠VQT

Step-by-step explanation:

• ∠SQU ≅ ∠VQT  by the Vertical Angles Theorem.

Other options are not relevant

• ∠SQU ≅ ∠WRS  - incorrect, not vertical angles
• ∠WRS ≅ ∠VQT  - incorrect, not vertical angles
• ∠WRS ≅ ∠ZRT - incorrect, vertical angles but illogical to refer to this at the same step

Answer 2

Answer:

?

Step-by-step explanation: