Question

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 GEOMETRY:

congruent according to the Corresponding Angles Postulate. 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

Answer 1

The correct answer is the first one: ∠SQU ≅ ∠VQT because Angle VQT is congruent to angle SQU by the Vertical Angles Theorem.

Answer 2

Answer: ∠SQU ≅ ∠VQT

Explanation:

According to the given information, we have

Segment UV is parallel to segment WZ while angles SQU and VQT are vertical angles.

Vertical Angles Theorem says the the vertical angles are always congruent.

Therefore, ∠SQU ≅ ∠VQT [by Vertical Angle Theorem]

Therefore, the phrase accurately completes the proof :

∠SQU ≅ ∠VQT