ARSU is equilateral, U is the midpoint ofTV, and ST E RV. Complete the proof thatASTU E ARVU.TUVRStatementReason1 ARSU is equilateral2 U is the midpoint of TV3 ST E RV4 UV E TU5 RU E SU6 ASTU E ARVU StatementReason1 ARSU is equilateralAAS2 U is the midpoint of TVAdditive Property of LengthAll right angles are congruentAlternate Interior Angles Theorem3 ST E RV4 UV E TUASAСРСТС5 RU E SUDefinition of angle bisectorDefinition of congruenceDefinition of equilateral triangle6 ASTU E ARVUDefinition of midpointGivenReflexive Property of CongruenceReflexive Property of EqualitySASSSSubstitutionTransitive Property of CongruenceTransitive Property of EqualityVertical Angle Theorem

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Answered: ARSU is equilateral, U is the midpoint…

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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ARSU is equilateral, U is the midpoint of TV, and ST E RV. Complete the proof that ASTU E ARVU. T U V R Statement Reason 1 ARSU is equilateral 2 U is the midpoint of TV 3 ST E RV 4 UV E TU 5 RU E SU 6 ASTU E ARVU