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Given: Ris the midpoint of AG and ET. Prove: AGRT = AARE Complete the folowing two-column proof. Statements Reasons Ris the midpoint of AG and 1. Given 1. ET 2. AR = RG 2. 3. Definition of midpoint 3. 4. ZGRT LARE 4. 5. AGRT AARE 5.

Given: Ris the midpoint of AG and ET. Prove: AGRT = AARE Complete the folowing two-column proof. Statements Reasons Ris the midpoint of AG and 1. Given 1. ET 2. AR = RG 2. 3. Definition of midpoint 3. 4. ZGRT LARE 4. 5. AGRT AARE 5.

Elementary Geometry For College Students, 7e
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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Part A: 

What is the Reason for line 2?

Definition of alternate interior angle

Definition of vertical angle

Definition of midpoint

Definition of perpendicular bisector

 

Part B: 

What is the Statement for line 3?

ER = RT

EA = GT

< GRT = < ARE

< E = < T

Part C: 

What is the reason for line 4?

Vertical angles are congruent

Alternate interior angles are congruent

Corresponding angles are congruent

Definition of midpoint

Part D: 

What is the reason for line 5?

AAS Postulate for Congruence

SAS Postulate for Congruence

ASA Postulate for Congruence

SSS Postulate for Congruence

Given: Ris the midpoint of AG and ET. Prove: AGRT a AARE Complete the folowing two-column proof. Statements Reasons Ris the midpoint of AG and 1. Given 1. ET 2. AR = RG 2. 3. Definition of midpoint 3. 4. 5. 4. LGRT LARE 5. AGRT AARE
Transcribed Image Text:Given: Ris the midpoint of AG and ET. Prove: AGRT a AARE Complete the folowing two-column proof. Statements Reasons Ris the midpoint of AG and 1. Given 1. ET 2. AR = RG 2. 3. Definition of midpoint 3. 4. 5. 4. LGRT LARE 5. AGRT AARE
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