Cono Ct un JNGI Tom ule 3L Statement Reason 1. C is the midpoint of AE and DB 1. Given 2. LACB and ZDCE are vertical angles 2. Given 3. ZACB ZDCE 3. 1 Vertical Angles Theorem 4. AC CE 4. Definition of a midpoint 5. BC CD 5. Definition of a midpoint 6. AACB AECB 6. SAS congruence criteria 7. AB DE 7. 3 Definition of a midpoint Can vou explain

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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Complete the following two-column proof. Select the correct answer from the list
Statement
Reason
1. C is the midpoint of AE and DB
1. Given
2. LACB and ZDCE are vertical angles 2. Given
3. ZACB ZDCE
3.
1
Vertical Angles Theorem
4. AC CE
4. Definition of a midpoint
5. BC CD
5. Definition of a midpoint
6. AACB AECB
6.
SAS congruence criteria
7. AB DE
7.
Definition of a midpoint X
Can you explain
why "CPCTC" is
correct for the
Correct answers:
3
СРСТС
last one?
Transcribed Image Text:Complete the following two-column proof. Select the correct answer from the list Statement Reason 1. C is the midpoint of AE and DB 1. Given 2. LACB and ZDCE are vertical angles 2. Given 3. ZACB ZDCE 3. 1 Vertical Angles Theorem 4. AC CE 4. Definition of a midpoint 5. BC CD 5. Definition of a midpoint 6. AACB AECB 6. SAS congruence criteria 7. AB DE 7. Definition of a midpoint X Can you explain why "CPCTC" is correct for the Correct answers: 3 СРСТС last one?
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