Justify the reasons for the proof. Given: V is the midpoint of RT, RS=TS Prove: ARSV = ATSV R V

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
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Justify the reasons for the proof.

Justify the reasons for the proof.
RS = TS
Given: V is the midpoint of RT,
Prove: ARSV=ATSV
V
Statement
Reason
Reflexive property
Transitive property
Symmetric property
Definition of midpoint
1. V is the midpoint of RT
1. Given
2. RS=TS
2. Given
ASA
3. RV =VT
3.
SSS
SSA
4. VS=VS
4.
SAS
5. ARSV = ATSV
5.
Transcribed Image Text:Justify the reasons for the proof. RS = TS Given: V is the midpoint of RT, Prove: ARSV=ATSV V Statement Reason Reflexive property Transitive property Symmetric property Definition of midpoint 1. V is the midpoint of RT 1. Given 2. RS=TS 2. Given ASA 3. RV =VT 3. SSS SSA 4. VS=VS 4. SAS 5. ARSV = ATSV 5.
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