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
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
Related questions
Question
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
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
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