c. Given: m ABM = m_ABC m/ABC = 2m MBC Prove: BM bisects ABC Statements 1. m/ABC 2m/MBC 2. = 1 3. m/ABM = m_ABC 4. 5. ZABM = ZMBC 6. BM bisects ABC PROOF Reasons 1. 2. Division/Multiplication Property of Equality 3. Given 4. Transitive Property of Equality 5. 6.

c. Given: m ABM = m_ABC m/ABC = 2m MBC Prove: BM bisects ABC Statements 1. m/ABC 2m/MBC 2. = 1 3. m/ABM = m_ABC 4. 5. ZABM = ZMBC 6. BM bisects ABC PROOF Reasons 1. 2. Division/Multiplication Property of Equality 3. Given 4. Transitive Property of Equality 5. 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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Question

“Supply for the missing statements/reasons for each of the following"

c. Given: m ABM = m_ABC
m/ABC = 2m MBC
Prove: BM bisects ABC
Statements
1. m/ABC 2m/MBC
2.
=
1
3. m/ABM = m_ABC
4.
5. ZABM = ZMBC
6. BM bisects ABC
PROOF
Reasons
1.
2. Division/Multiplication Property of
Equality
3. Given
4. Transitive Property of Equality
5.
6.

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