Statement Reason 1. BA BC, YX YZ 1. Given 2. A ABC is isosceles, AXY Z is isosceles 2. Definition of isosceles A 3. ZA ZC, ZX LZ 3. Base angles of isosceles A are 4. ZA ZX 4 Given 5. ZC 2Z 5. Substitution property of 6. A ABC-A XYZ 6.
Statement Reason 1. BA BC, YX YZ 1. Given 2. A ABC is isosceles, AXY Z is isosceles 2. Definition of isosceles A 3. ZA ZC, ZX LZ 3. Base angles of isosceles A are 4. ZA ZX 4 Given 5. ZC 2Z 5. Substitution property of 6. A ABC-A XYZ 6.
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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Transcribed Image Text:Which reason correctly completes the proof?
AA Similarity Postulate
A.
SAS Similarity Theorem
SSA Similarity Theorem
ASS Similarity Postulate
Transcribed Image Text:BA BC
YX YZ
Given: 2A 2X
Prove: AABC-A XYZ
Statement
Reason
1. BA BC, YX YZ
1. Given
2. A ABC is isosceles, AXY Z is isosceles
2 Definition of isosceles A
3. ZA LC, ZX ZZ
3. Base angles of isosceles A are
4. ZA ZX
4 Given
5. ZC 2Z
5. Substitution property of
6. A ABC-A XYZ
6.
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