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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
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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In the given figure, BA= YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. 2. JUSTITIA Proof: STATEMENT REASON BA N 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 AABC AZYX FORTL
Transcribed Image Text:In the given figure, BA= YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. 2. JUSTITIA Proof: STATEMENT REASON BA N 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 AABC AZYX FORTL
2. In the given figure, BA = YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. JUSTITIA Proof: STATEMENT REASON BA YZ BC YX AX CZ Definition of Congruent Segments AX = CZ Given addition Property of Equality Reflexive Property SSS Postulate XC = XC AX + XC = XC + CZ AC = XZ AX+ XC AC XC+ CZ XZ ACE XZ Definition of Between Substitution Property of Equality Definition of Congruent Segments AABC E AZYX FORTIT
Transcribed Image Text:2. In the given figure, BA = YZ, BC = YX, and AX = CZ. Prove that AABC = AZYX. JUSTITIA Proof: STATEMENT REASON BA YZ BC YX AX CZ Definition of Congruent Segments AX = CZ Given addition Property of Equality Reflexive Property SSS Postulate XC = XC AX + XC = XC + CZ AC = XZ AX+ XC AC XC+ CZ XZ ACE XZ Definition of Between Substitution Property of Equality Definition of Congruent Segments AABC E AZYX FORTIT
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