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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. Angle VQT is congruent to angle SQU 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 _____________________.


Which Property of Equality accurately completes the proof?

A. Reflexive
B. Substitution
C. Subtraction
D. Transitive

The following is an incomplete paragraph proving that WRS VQT given the information in the figure where segment UV is parallel to segment WZAccording to the giv class=

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Answer:

Option D Transitive property is the correct answer.

Step-by-step explanation:

In the given question given properties are UV║WZ

and ST is a transverse line.

Given angles ∠SQU ≅ ∠VQR (Vertical angles)

∠SQU ≅ ∠WRS (Corresponding angles)

Therefore ∠VQT ≅ ∠WRS (Transitive property of congruence)

So Option D is the correct answer.

Answer:

Substitution property

Step-by-step explanation:

To prove that alternate angles are equal for two parallel lines, the verical angle theorem and corresponding angle theorem were used.

segment UV is parallel to segment WZ

SQU=VQT (Vertically opposite)

SQU=WRS (corresponding angles)

Hence by Substitution  property we have

VQT =WRS

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