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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-example-1
User JQueeny
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2 Answers

2 votes

Answer:

Substitution property

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

User Renan Bandeira
by
5.8k points
2 votes

Answer:

Option D Transitive property is the correct answer.

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.

User Grw
by
5.5k points
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