1. Complete the two-column proof below. A Given: A is the midpoint of BC Prove: AC =BC | Statements Reasons 1. A is the midpoint of BC 1. Given 2. 2. Definition of Midpoint 3. ВА %3DАC 3. Definition of Congruent 4. BA + AC = BC 4. 5. AC + AC = BC 5. 6. 2AC = BC 6. 7. AC =BC 7.

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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1. Complete the two-column proof below.
A
Given: A is the midpoint of BC Prove: AC =BC
Statements
Reasons
1.
A is the midpoint of BC
1. Given
2.
2. Definition of Midpoint
3. BA = AC
3. Definition of Congruent
4. ВА + AC 3D ВС
4.
5.
АC + AC 3 ВС
5.
6. 2AC 3D ВС
6.
7. AC =-BC
7.
Transcribed Image Text:1. Complete the two-column proof below. A Given: A is the midpoint of BC Prove: AC =BC Statements Reasons 1. A is the midpoint of BC 1. Given 2. 2. Definition of Midpoint 3. BA = AC 3. Definition of Congruent 4. ВА + AC 3D ВС 4. 5. АC + AC 3 ВС 5. 6. 2AC 3D ВС 6. 7. AC =-BC 7.
2. Complete the two-column proof below.
Given: mz1 = m24 and m22 = mz3 Prove: MY0E = m²EOU
U
Statements
Reasons
1. mz1 = m24 and m22 = m23
1. Given
2. mz1 + m22 = mzYoe
2.
m23 + mz4 = M2EOU
3.
m23 + m24 = m¿Y0e
3.
4.
4.
Transcribed Image Text:2. Complete the two-column proof below. Given: mz1 = m24 and m22 = mz3 Prove: MY0E = m²EOU U Statements Reasons 1. mz1 = m24 and m22 = m23 1. Given 2. mz1 + m22 = mzYoe 2. m23 + mz4 = M2EOU 3. m23 + m24 = m¿Y0e 3. 4. 4.
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