8. Given: AB = AC A M is the midpoint of BC. Prove: AM bisects ZBAC. B M C Statements Reasons 1. AB = AC 1. 2. M is midpoint of BC. | 2. 3. BM = MC 3. 4. AM = AM 4. 5. ΔΑΜΒ ΔΑΜC 6. ZBAM = LCAM 6. 7. AM bisects ZBAC. 7. 5.

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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Question
8. Given: AB = AC
A
M is the midpoint
of BC.
Prove: AM bisects ZBAC.
B
M
Statements
Reasons
1. AB = AC
1.
2. M is midpoint of BC.
3. BM = MC
2.
3.
4. AM = AM
4.
5. ΔΑΜΒ= ΔΑΜC
5.
6. ZBAM = ZCAM
6.
7. AM bisects ZBAC.
7.
Transcribed Image Text:8. Given: AB = AC A M is the midpoint of BC. Prove: AM bisects ZBAC. B M Statements Reasons 1. AB = AC 1. 2. M is midpoint of BC. 3. BM = MC 2. 3. 4. AM = AM 4. 5. ΔΑΜΒ= ΔΑΜC 5. 6. ZBAM = ZCAM 6. 7. AM bisects ZBAC. 7.
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