TW bisects ZUWY and ZX ZV. Complete the proof that ATWX ATWV. T. U W V Statement Reason TW bisects ZUWY Given 2 ZX E ZV Given ZXWY ZUWV Vertical Angle Theorem 4 ZTWY E ZTWU M2TWX = MZTWY + MZXWY Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorenm 6 M2TWV = MZTWU + mZUWV M2TWX = M2TWU + mZUWV M2TWV = MZTWX 6. TW TW Reflexive Property of Congruence 10 ATWX ATWV AAS
TW bisects ZUWY and ZX ZV. Complete the proof that ATWX ATWV. T. U W V Statement Reason TW bisects ZUWY Given 2 ZX E ZV Given ZXWY ZUWV Vertical Angle Theorem 4 ZTWY E ZTWU M2TWX = MZTWY + MZXWY Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorenm 6 M2TWV = MZTWU + mZUWV M2TWX = M2TWU + mZUWV M2TWV = MZTWX 6. TW TW Reflexive Property of Congruence 10 ATWX ATWV AAS
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 21CT
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