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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2F59b6b32c-13f9-46e4-9b88-bd11e95d09c6%2Fc3l4oqr_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2F59b6b32c-13f9-46e4-9b88-bd11e95d09c6%2Fhdwb0h_processed.jpeg&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning