ZSVT E LSUW, ZVSW = ZTSU, and SU = SV. Complete the proof that ASUW = ASVT. V U Statement Reason 1 ZSVT E LSUW Given 2 ZVSW = ZTSU Given 3 SU = SV Given 4 mZUSW = m2USV + MZVSW 5 MZTSV = MZTSU + MZUSV 6 mZUSW = M2USV + mZTSU 7 MLTSV = m2USW 8 ASUW E ASVT ASA

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 88E
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Question
ZSVT E ZSUW, ZVSW = ZTSU, and SU =
SV. Complete the proof that ASUW =
ASVT.
V
U
Statement
Reason
1 ZSVT E LSUW
Given
2 ZVSW = ZTSU
Given
3 SU = SV
Given
4 mZUSW = M2USV + MZVSW
5 MZTSV = MZTSU + MZUSV
6 mZUSW = M2USV + MZTSU
7 MZTSV = m2USW
8 ASUW E ASVT
ASA
Transcribed Image Text:ZSVT E ZSUW, ZVSW = ZTSU, and SU = SV. Complete the proof that ASUW = ASVT. V U Statement Reason 1 ZSVT E LSUW Given 2 ZVSW = ZTSU Given 3 SU = SV Given 4 mZUSW = M2USV + MZVSW 5 MZTSV = MZTSU + MZUSV 6 mZUSW = M2USV + MZTSU 7 MZTSV = m2USW 8 ASUW E ASVT ASA
AAS
Additive Property of Angle Measure
Additive Property of Length
Algebra
All right angles are congruent
Alternate Interior Angles Theorem
Angles forming a linear pair sum to 180°
ASA
Corresponding Angles Theorem
СРСТС
Definition of angle bisector
Definition of congruence
Definition of equilateral triangle
Definition of midpoint
Given
Reflexive Property of Congruence
Reflexive Property of Equality
SAS
Substitution
Transitive Property of Congruence
Transitive Property of Equality
Vertical Angle Theorem
Transcribed Image Text:AAS Additive Property of Angle Measure Additive Property of Length Algebra All right angles are congruent Alternate Interior Angles Theorem Angles forming a linear pair sum to 180° ASA Corresponding Angles Theorem СРСТС Definition of angle bisector Definition of congruence Definition of equilateral triangle Definition of midpoint Given Reflexive Property of Congruence Reflexive Property of Equality SAS Substitution Transitive Property of Congruence Transitive Property of Equality Vertical Angle Theorem
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