Prove: Ax bisects BAC. Statement Reason 1. AB = AC 1. Given 2. 2. Base angle theorem 3. XB = XC 3. Given 4. m 41 = m 2 4. 5. m LABC = m 23 + m41 m LACB = m 24 + m 2 5. 6. 6. Subtraction Property of Equality 7. m 43 = m 4 7. Substitution
Prove: Ax bisects BAC. Statement Reason 1. AB = AC 1. Given 2. 2. Base angle theorem 3. XB = XC 3. Given 4. m 41 = m 2 4. 5. m LABC = m 23 + m41 m LACB = m 24 + m 2 5. 6. 6. Subtraction Property of Equality 7. m 43 = m 4 7. Substitution
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
![Prove: A bisects 4BAC.
Statement
Reason
1. AB = AC
1. Given
2.
2. Base angle theorem
3. XB = XC
3. Given
4. m 41 = m 22
5. m LABC = m 43 + m z1
m LACB = m 24 + m 2
5.
6.
6. Subtraction Property of Equality
7. m 43 = m 4
7. Substitution
8. AABXE AACX
8.
9.
9. CPCTC
10. Ar bisects LBAC.
10. Definition of angle bisector](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F368d574b-b55c-4aaa-9354-a23430f95f30%2F1925e423-2f48-4fde-89e7-e439b544f0d2%2Flylsgc_processed.png&w=3840&q=75)
Transcribed Image Text:Prove: A bisects 4BAC.
Statement
Reason
1. AB = AC
1. Given
2.
2. Base angle theorem
3. XB = XC
3. Given
4. m 41 = m 22
5. m LABC = m 43 + m z1
m LACB = m 24 + m 2
5.
6.
6. Subtraction Property of Equality
7. m 43 = m 4
7. Substitution
8. AABXE AACX
8.
9.
9. CPCTC
10. Ar bisects LBAC.
10. Definition of angle bisector
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