TW || UV and TU || VW. Complete the proof that ATVW - AVTU. U V W Statement Reason

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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3 ZTVU = ZVTW
Additive Property of Angle Measure
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
4 ZUTV = ZTVW
5 TV E TV
6 ATVW = AVTU Angles forming a linear pair sum to 180°
Corresponding Angles Theorem
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
Transcribed Image Text:3 ZTVU = ZVTW Additive Property of Angle Measure Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem 4 ZUTV = ZTVW 5 TV E TV 6 ATVW = AVTU Angles forming a linear pair sum to 180° Corresponding Angles Theorem Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem
TW || UV and TU || VW. Complete the proof
that ATVW - AVTU.
U
V
W
Statement
Reason
1 TW || UV
Given
2 TU || VW
Given
3 ZTVU = ZVTW
4 ZUTV = ZTVW
5 TV 2 TV
Reflexive Property of Congruence
6 ΔTVW Δντυ
Transcribed Image Text:TW || UV and TU || VW. Complete the proof that ATVW - AVTU. U V W Statement Reason 1 TW || UV Given 2 TU || VW Given 3 ZTVU = ZVTW 4 ZUTV = ZTVW 5 TV 2 TV Reflexive Property of Congruence 6 ΔTVW Δντυ
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