Proof: B Statements Reasons 1. BX is the bisector of LABC. 1. 2. ?_defiration 3. ? Orie DIn E pestulble 2. ZABX = ' _, or m LABX 3. m LABX + m Z XBC = m ZABC 4. m LABX + m ZABX = or 2m LABX = m Z ABC m ZABC, 5. m LABX Im LABC 6. m ZXBC = }m LABC 6. Substitution Prop. (Steps 2 and ? ) A В C
Proof: B Statements Reasons 1. BX is the bisector of LABC. 1. 2. ?_defiration 3. ? Orie DIn E pestulble 2. ZABX = ' _, or m LABX 3. m LABX + m Z XBC = m ZABC 4. m LABX + m ZABX = or 2m LABX = m Z ABC m ZABC, 5. m LABX Im LABC 6. m ZXBC = }m LABC 6. Substitution Prop. (Steps 2 and ? ) A В C
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
Complete the proof of Theorem 2-2. Given: BX is the bisector of <ABC.
Prove: m<ABX =1/2M<ABC; rn<XBC =1/2 m<ABC
![Proof:
B
Statements
Reasons
1. BX is the bisector of LABC.
1.
2. ?_defiration
3. ? Orie DIn E pestulble
2. ZABX = ' _, or m LABX
3. m LABX + m Z XBC = m ZABC
4. m LABX + m ZABX =
or 2m LABX = m Z ABC
m ZABC,
5. m LABX
Im LABC
6. m ZXBC = }m LABC
6. Substitution Prop. (Steps 2 and ? )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c453421-7dc9-4e1b-b005-2aa47e775bb0%2Fd8eb20de-efe4-43b6-8b82-f116d55e832e%2F72e5yi8_processed.png&w=3840&q=75)
Transcribed Image Text:Proof:
B
Statements
Reasons
1. BX is the bisector of LABC.
1.
2. ?_defiration
3. ? Orie DIn E pestulble
2. ZABX = ' _, or m LABX
3. m LABX + m Z XBC = m ZABC
4. m LABX + m ZABX =
or 2m LABX = m Z ABC
m ZABC,
5. m LABX
Im LABC
6. m ZXBC = }m LABC
6. Substitution Prop. (Steps 2 and ? )
![A
В
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c453421-7dc9-4e1b-b005-2aa47e775bb0%2Fd8eb20de-efe4-43b6-8b82-f116d55e832e%2F6bin02s_processed.png&w=3840&q=75)
Transcribed Image Text:A
В
C
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