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
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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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
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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