TW bisects ZUWY. Complete the proof that ATWX = ATWV. V Statement W U X T Reason

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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TW bisects ZUWY. Complete the proof that ATWX ATWV.
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V
Statement
TW bisects ZUWY
ZV ZX
W
ATWX ATWV
U
X
ZXWY ZUWV
ZTWY ZTWU
m/TWX = mZTWY + m2XWY
mZTWV = mZTWU + mZUWV
m/TWX = m/TWU + MZUWV
m/TWV = mZTWX
TW TW
T
Reason
Given
Given
Vertical Angle Theorem
Additive Property of Angle Measure
Additive Property of Angle Measure
Properties of addition, subtraction, multiplication, and division
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Droporty of Cauality,
Transcribed Image Text:TW bisects ZUWY. Complete the proof that ATWX ATWV. 1 2 3 4 5 6 7 8 9 10 V Statement TW bisects ZUWY ZV ZX W ATWX ATWV U X ZXWY ZUWV ZTWY ZTWU m/TWX = mZTWY + m2XWY mZTWV = mZTWU + mZUWV m/TWX = m/TWU + MZUWV m/TWV = mZTWX TW TW T Reason Given Given Vertical Angle Theorem Additive Property of Angle Measure Additive Property of Angle Measure Properties of addition, subtraction, multiplication, and division Reflexive Property of Congruence Reflexive Property of Equality Substitution Transitive Property of Congruence Transitive Droporty of Cauality,
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