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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Question
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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