M Given: 2TME LPRE E TP bisects MR Prove: ZEPR LETM R Statement Reason 1. ZTME = LPRE 1. • Given 2. TP bisects MR 2. Given Definition of segment bisector 3. ME = RE 3. SAS • SSA ASA 4. 2TEM = ZPER 4. • AAS • HL • Vertical Angle Theorem 5. ΔΤΜΕ ΔPRE 5. 6. ZEPR = LETM 6. СРСТС
M Given: 2TME LPRE E TP bisects MR Prove: ZEPR LETM R Statement Reason 1. ZTME = LPRE 1. • Given 2. TP bisects MR 2. Given Definition of segment bisector 3. ME = RE 3. SAS • SSA ASA 4. 2TEM = ZPER 4. • AAS • HL • Vertical Angle Theorem 5. ΔΤΜΕ ΔPRE 5. 6. ZEPR = LETM 6. СРСТС
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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Justify the reasons for the proof.
![Justify the reasons for the proof.
M
Given: 2TME = LPRE
TP bisects MR
Prove: ZEPR = LETM
R
Statement
Reason
1. ZTME = ZPRE
1.
Given
2. TP bisects MR
2. • Given
Definition of segment bisector
SAS
3. ME = RE
3.
SSA
ASA
4. ZTEM = LPER
4.
• AAS
HL
5. ΔΤΜΕ ΔPRE
5.
Vertical Angle Theorem
6. LEPR = LETM
6.
СРСТС](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7145ac63-1ad7-4169-ad0e-1ba262492200%2Fc7956a5c-fc2e-4ed8-913c-b233a4fac56d%2Ffmr9ga8_processed.png&w=3840&q=75)
Transcribed Image Text:Justify the reasons for the proof.
M
Given: 2TME = LPRE
TP bisects MR
Prove: ZEPR = LETM
R
Statement
Reason
1. ZTME = ZPRE
1.
Given
2. TP bisects MR
2. • Given
Definition of segment bisector
SAS
3. ME = RE
3.
SSA
ASA
4. ZTEM = LPER
4.
• AAS
HL
5. ΔΤΜΕ ΔPRE
5.
Vertical Angle Theorem
6. LEPR = LETM
6.
СРСТС
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