ZWVX ZVWY, VX WY, and XY I VW. Complete the proof that AWXY AVYX. Y Statement Reason ZWVX E ZVWY Given 2 VX WY Given 3 XY | VW Given 4 ZWVX ZVXY Additive Property of Length All right angles are congruent ZWYX E ZVWY Alternate Interior Angles Theorem Definition of angle bisector Definition of equilateral triangle Dafinition nf midneint Reflexive Property of Congruence ZVWY E ZVXY ZWYX ZVXY XY = XY 8. 9. AWXY AVYX SAS

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Definition of midpoint, vertical angle theorem
ZWVX ZVWY, VX WY, and XY | VW. Complete the proof that AWXY AVYX.
Y
W
Statement
Reason
ZWVX ZVWY
Given
2.
VX E WY
Given
3.
XY || VW
Given
4
ZWVX ZVXY
Additive Property of Length
All right angles are congruent
Alternate Interior Angles Theorem
Definition of angle bisector
Definition of equilateral triangle
Dafinition nf midneint
Reflexive Property of Congruence
5.
ZWYX ZVWY
ZVWY E ZVXY
7.
ZWYX ZVXY
8.
XY = XY
6.
AWXY AVYX
SAS
co
Transcribed Image Text:ZWVX ZVWY, VX WY, and XY | VW. Complete the proof that AWXY AVYX. Y W Statement Reason ZWVX ZVWY Given 2. VX E WY Given 3. XY || VW Given 4 ZWVX ZVXY Additive Property of Length All right angles are congruent Alternate Interior Angles Theorem Definition of angle bisector Definition of equilateral triangle Dafinition nf midneint Reflexive Property of Congruence 5. ZWYX ZVWY ZVWY E ZVXY 7. ZWYX ZVXY 8. XY = XY 6. AWXY AVYX SAS co
ZWVX ZWWY, VX WY, and XY | VW. Complete the proof that AWXY AVYX.
Y
V
W
Statement
Reason
ZWVX E ZVWY
Given
2.
VX WY
Given
3.
XY| VW
Given
4
ZWVX = ZVXY
ZWYX E ZVWY
ZVWY E ZVXY
Transitive Property of Congruence
ZWYX ZVXY
Transitive Property of Congruence
XY XY
Reflexive Property of Congruence
AWXY = AVYX
SAS
Transcribed Image Text:ZWVX ZWWY, VX WY, and XY | VW. Complete the proof that AWXY AVYX. Y V W Statement Reason ZWVX E ZVWY Given 2. VX WY Given 3. XY| VW Given 4 ZWVX = ZVXY ZWYX E ZVWY ZVWY E ZVXY Transitive Property of Congruence ZWYX ZVXY Transitive Property of Congruence XY XY Reflexive Property of Congruence AWXY = AVYX SAS
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