X is the midpoint of VW. Complete the proof that AUWX - AUVX. V. W Statement Reason Xis the midpoint of VW Given

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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X is the midpoint of VW. Complete the proof that AUWX - AUVX.
V.
W
Statement
Reason
X is the midpoint of VW
Given
UW = UV
Given
VX WX
Agditive Property or Lengtn
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Anale Theorem
4.
UX UX
AUWX AUVX
Transcribed Image Text:X is the midpoint of VW. Complete the proof that AUWX - AUVX. V. W Statement Reason X is the midpoint of VW Given UW = UV Given VX WX Agditive Property or Lengtn All right angles are congruent Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Anale Theorem 4. UX UX AUWX AUVX
X is the midpoint of VW. Complete the proof that AUWX ~ AUVX.
V.
W
Statement
Reason
X is the midpoint of VW
Given
UW UV
Given
VX WX
UX UX
Reflexive Property of Congruence
4.
AUWX E AUVX
CPCTC
Definition of congruence
SAS
SSS
2.
Transcribed Image Text:X is the midpoint of VW. Complete the proof that AUWX ~ AUVX. V. W Statement Reason X is the midpoint of VW Given UW UV Given VX WX UX UX Reflexive Property of Congruence 4. AUWX E AUVX CPCTC Definition of congruence SAS SSS 2.
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