TW bisects ZUWY and ZX S ZV. Complete the proof that ATWX ATWV.WVStatementReasonTW bisects ZUWYGivenGiven2ZX E ZVZXWY E ZUWVVertical Angle TheoremZTWY E LTWUAdditive Property of Angle MeasureAdditive Property of LengthAll right angles are congruentAngles forming a linear pair sum to 180°Definition of angle bisectorDafinition ofanuilate-al trianalaTransitive Property of EqualityMLTWX = MZTWY + mZXWY6MZTWV = MZTWU + m2UWVMLTWX = MZTWU + nmZUWV8MZTWV = MLTWXReflexive Property of CongruenceTW TWAAS10ATWX = ATWV TW bisects ZUWY and ZX ZV. Complete the proof that ATWX ATWV.VStatementReasonTW bisects ZUWYGivenZX ZVGivenZXWY = LUWVVertical Angle Theorem4ZTWY ZTWUAngles forming a linear pair sum to 180°Definition of angle bisectorDefinition of equilateral triangleDefinition of midpointMZTWX = MZTWY + M2XWYMZTWV = MZTWU + M2UWVMZTWX = MZTWU + M2UWVVertical Angle TheoremMZTWV = MZTWXTransitive Property of Equality6.TW 쓸 TWReflexive Property of Congruence10ATWX E ATWVAAS2.

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TW bisects ZUWY and ZX S ZV. Complete the proof that ATWX ATWV. W V Statement Reason 1 TW bisects ZUWY Given Given A7 = X7 ZXWY E ZUWV Vertical Angle Theorem ZTWY LTWU Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Dafinition ofsnuilate-altrianala Transitive Property of Equality MLTWX = MZTWY + MZXWY 6 MZTWV = MZTWU + mZUWV MLTWX = MZTWU + nm2UWV MZTWV = MLTWX TW TW Reflexive Property of Congruence 10 ATWX = ATWV AAS 2. 4. 00

TW bisects ZUWY and ZX S ZV. Complete the proof that ATWX ATWV. W V Statement Reason 1 TW bisects ZUWY Given Given A7 = X7 ZXWY E ZUWV Vertical Angle Theorem ZTWY LTWU Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Dafinition ofsnuilate-altrianala Transitive Property of Equality MLTWX = MZTWY + MZXWY 6 MZTWV = MZTWU + mZUWV MLTWX = MZTWU + nm2UWV MZTWV = MLTWX TW TW Reflexive Property of Congruence 10 ATWX = ATWV AAS 2. 4. 00

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

Section1.3: Introduction To Geometric Proof

Problem 28E: In Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: E is the...

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