Complete the proof that ARVX ATWU. R U V W Statement Reason ZT ZR Given 2. WX UV Given ZTWU E ZRVX Given 4 VX = WX + VW Additive Property of Length 5. UW = UV + VW Additive Property of Length VX = UV + VW Algebra Reflexive Property of Congruence Reflexive Property of Equality Substitution 7. UW = VX ARVX ATWU Transitive Property of Congruence

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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Question
Complete the proof that ARVX ATWU.
U
W
Statement
Reason
ZT ZR
Given
WX UV
Given
ZTWU E LRVX
Given
4
VX = WX + VW
Additive Property of Length
UW = UV + VW
Additive Property of Length
VX = UV + VW
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
UW = VX
8.
ARVX ATWU
Transcribed Image Text:Complete the proof that ARVX ATWU. U W Statement Reason ZT ZR Given WX UV Given ZTWU E LRVX Given 4 VX = WX + VW Additive Property of Length UW = UV + VW Additive Property of Length VX = UV + VW Reflexive Property of Congruence Reflexive Property of Equality Substitution Transitive Property of Congruence Transitive Property of Equality UW = VX 8. ARVX ATWU
Complete the proof that ARVX N ATWU.
R
W
Statement
Reason
ZT ZR
Given
2.
WX UV
Given
ZTWU E ZRVX
Given
4
VX = WX + VW
Additive Property of Length
5.
UW = UV + VW
Additive Property of Length
VX = UV + VW
Algebra
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
7.
UW = VX
8.
ARVX ATWU
Transitive Property of Congruence
SI
Transcribed Image Text:Complete the proof that ARVX N ATWU. R W Statement Reason ZT ZR Given 2. WX UV Given ZTWU E ZRVX Given 4 VX = WX + VW Additive Property of Length 5. UW = UV + VW Additive Property of Length VX = UV + VW Algebra Reflexive Property of Congruence Reflexive Property of Equality Substitution 7. UW = VX 8. ARVX ATWU Transitive Property of Congruence SI
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