Alyssa has written the following proof. Given: Els the midpoint of AC. ABIDC Prove: DAEB DCED Proof: Statements Reasons 1. E is the midpoint of AC. 2. ABIDC 1. Given 2. Given 3. AE EC 3. Definition of midpoint 4. ZAEB ZCED 5. ZEABZECD 4. Vertical angles are congruent. 5. If two parallel lines are intersected by a transversal, then alternate interior angles are congruent. 6. DAEB ODCED 6. Which of the following would correctly complete Statement 6? O A SAS O B. ASA O C SSS O D AAS
Alyssa has written the following proof. Given: Els the midpoint of AC. ABIDC Prove: DAEB DCED Proof: Statements Reasons 1. E is the midpoint of AC. 2. ABIDC 1. Given 2. Given 3. AE EC 3. Definition of midpoint 4. ZAEB ZCED 5. ZEABZECD 4. Vertical angles are congruent. 5. If two parallel lines are intersected by a transversal, then alternate interior angles are congruent. 6. DAEB ODCED 6. Which of the following would correctly complete Statement 6? O A SAS O B. ASA O C SSS O D AAS
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.3: Proving Lines Parallel
Problem 37E
Related questions
Question
Alyssa has written the following proof. Which of the following would correctly complete statement 6.
A. SAS
B. ASA
C. SSS
D. AAS
![Alyssa has written the following proof.
B.
Given: Els the mildpoint of AC.
ABIDC
Prove: DAEB ODCED
Proof:
Statements
Reasons
1. E is the midpoint of AC.
2. ABDC
1. Glven
2. Given
3. Definition of midpoint
4. Vertical angles are congruent.
3. AE EC
4. ZAEB 2CED
5. ZEAB ZECD
5. If two parallel lines are intersected
by a transversal, then alternate
interior angles are congruent.
6. DAEB ODCED
6.
Which of the following would correctly complete Statement 6?
O A. SAS
оВ ASA
OC SS
O D AAS
O Type here to search](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c2f4d6f-ea89-4f7a-b08e-089bfef6a673%2F40412bde-4e28-4745-beac-1f90265a263e%2F9jifeeb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Alyssa has written the following proof.
B.
Given: Els the mildpoint of AC.
ABIDC
Prove: DAEB ODCED
Proof:
Statements
Reasons
1. E is the midpoint of AC.
2. ABDC
1. Glven
2. Given
3. Definition of midpoint
4. Vertical angles are congruent.
3. AE EC
4. ZAEB 2CED
5. ZEAB ZECD
5. If two parallel lines are intersected
by a transversal, then alternate
interior angles are congruent.
6. DAEB ODCED
6.
Which of the following would correctly complete Statement 6?
O A. SAS
оВ ASA
OC SS
O D AAS
O Type here to search
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