In the given figure, BA= YZ, BC = YX, and AX = CZ.Prove that AABC = AZYX.2.JUSTITIAProof:STATEMENTREASONBA N YZBC YXAX CZDefinition of Congruent SegmentsGivenaddition Property of EqualityReflexive PropertySSS PostulateAC = XZAC XZSubstitution Property of EqualityDefinition of BetweenDefinition of Congruent SegmentsAABC AZYXFORTL 2.In the given figure, BA = YZ, BC = YX, and AX = CZ.Prove that AABC = AZYX.JUSTITIAProof:STATEMENTREASONBA YZBC YXAX CZDefinition of Congruent SegmentsAX = CZGivenaddition Property of EqualityReflexive PropertySSS PostulateXC = XCAX + XC = XC + CZAC = XZAX+ XC ACXC+ CZ XZACE XZDefinition of BetweenSubstitution Property of EqualityDefinition of Congruent SegmentsAABC E AZYXFORTIT

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In the given figure, BA= YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. 2. JUSTITIA Proof: STATEMENT REASON BA YZ BC YX AX CZ Definition of Congruent Segments Given addition Property of Equality Reflexive Property SSS Postulate AC = XZ AC XZ Substitution Property of Equality Definition of Between Definition of Congruent Segments ΔΑΒΟ ΔΖΥΧ FORTIL

In the given figure, BA= YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. 2. JUSTITIA Proof: STATEMENT REASON BA YZ BC YX AX CZ Definition of Congruent Segments Given addition Property of Equality Reflexive Property SSS Postulate AC = XZ AC XZ Substitution Property of Equality Definition of Between Definition of Congruent Segments ΔΑΒΟ ΔΖΥΧ FORTIL

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...

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