Statement Reason ZYWZ E LXWZ Given WZ I XY Given 3 ZWZX 2WZY All right angles are congruent 4 WZ WZ AWXZ AWYZ AAS ASA СРСТС Definition of congruence

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 16E: Does the relation is less than for a numbers have a reflexive property consider one number? A...
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Question
ZYWZ ZXWZ and WZ XY. Complete the proof that AWXZ AWYZ.
Y
W
Statement
Reason
ZYWZ E 2XWZ
Given
wZ I XY
Given
ZWZX = 2WZY
All right angles are congruent
3
4
WZ WZ
Algebra
Reflexive Property of Congruence
Reflexive Property of Equality
AWXZ E AWYZ
Substitution
Transitive Property of Congruence
Transitive Pronerty of Eauality
Transcribed Image Text:ZYWZ ZXWZ and WZ XY. Complete the proof that AWXZ AWYZ. Y W Statement Reason ZYWZ E 2XWZ Given wZ I XY Given ZWZX = 2WZY All right angles are congruent 3 4 WZ WZ Algebra Reflexive Property of Congruence Reflexive Property of Equality AWXZ E AWYZ Substitution Transitive Property of Congruence Transitive Pronerty of Eauality
ZYWZ ZXWZ and WZ I XY. Complete the proof that AWXZ AWYZ.
Y
W
Statement
Reason
ZYWZ E LXWZ
Given
wZ I XY
Given
3
ZWZX WZY
All right angles are congruent
4
WZ WZ
5
AWXZ AWYZ
AAS
ASA
СРСТС
Definition of congruence
21
Transcribed Image Text:ZYWZ ZXWZ and WZ I XY. Complete the proof that AWXZ AWYZ. Y W Statement Reason ZYWZ E LXWZ Given wZ I XY Given 3 ZWZX WZY All right angles are congruent 4 WZ WZ 5 AWXZ AWYZ AAS ASA СРСТС Definition of congruence 21
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