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

Respuesta :

A: ∠SQU ≅ ∠VQT
B: ∠SQU ≅ ∠WRS
C: ∠WRS ≅ ∠VQT
D: ∠WRS ≅ ∠ZRT

SQU and WRS are corresponding angles.

The answer is B: ∠SQU ≅ ∠WRS
akposevictor

The statement that completes the proof, based on the vertical angles postulate, is: ∠SQU ≅ ∠VQT.

What is the Vertical Angles Postulate?

Based on the vertical angles postulate, when two angles are directly opposite each other, they are vertical angles and are therefore congruent to each other.

In the image given, ∠SQU and ∠VQT are vertical angles pair, therefore, we can state that they are both congruent angles based on the vertical angles postulate.

The statement that completes the proof is: ∠SQU ≅ ∠VQT.

Learn more about the vertical angles postulate on:

https://brainly.com/question/1673457

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