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
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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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