The correct answer based on the information given about the segment will be A. ∠SQU ≅ ∠VQT.
<h3>How to illustrate the information?</h3>
From the information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles.
It should be noted that ∠SQU ≅ ∠VQT because angle VQT is congruent to angle SQU by the vertical Angles Theorem.
Therefore, the correct answer based on the information given about the segment will be A. ∠SQU ≅ ∠VQT.
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. 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
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