H Fill in the missing statement and reason of the proof below. Given: AB BC and E is the midpoint of AC. Prove: BAD ZBCD. Step Statement Reason AB BC 1 Given E is the midpoint of AC AE EC A midpoint divides a segment into two congruent segments BE BE Reflexive Property AABE ACBE SSS LABE CBE Corresponding Parts of Congruent Triangles are Congruent (CPCTC) BD BD Reflexive Property Corresponding Parts of Congruent Triangles are Congruent (CPOTC) C E 2 3 4 5 6 7 8 Type of Statement ZBAD BCD
H Fill in the missing statement and reason of the proof below. Given: AB BC and E is the midpoint of AC. Prove: BAD ZBCD. Step Statement Reason AB BC 1 Given E is the midpoint of AC AE EC A midpoint divides a segment into two congruent segments BE BE Reflexive Property AABE ACBE SSS LABE CBE Corresponding Parts of Congruent Triangles are Congruent (CPCTC) BD BD Reflexive Property Corresponding Parts of Congruent Triangles are Congruent (CPOTC) C E 2 3 4 5 6 7 8 Type of Statement ZBAD BCD
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
![F
Fill in the missing statement and reason of the proof below.
Given: AB BC and E is the midpoint of AC.
Prove: ZBAD ZBCD.
Step
Statement
Reason
AB BC
1
Given
E is the midpoint of AC
AE
EC
A midpoint divides a segment into two congruent segments
BE
BE
Reflexive Property
AABE ACBE
SSS
LABE CBE
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
BD BD
Reflexive Property
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
C
E
2
3
4
5
6
7
8
Type of Statement
ZBAD BCD](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17fd7ab8-8f80-482d-b1fa-759fc5cbe044%2F79d04aa6-b775-4aa3-9828-1c61ba2bfd6c%2Fppjxur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:F
Fill in the missing statement and reason of the proof below.
Given: AB BC and E is the midpoint of AC.
Prove: ZBAD ZBCD.
Step
Statement
Reason
AB BC
1
Given
E is the midpoint of AC
AE
EC
A midpoint divides a segment into two congruent segments
BE
BE
Reflexive Property
AABE ACBE
SSS
LABE CBE
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
BD BD
Reflexive Property
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
C
E
2
3
4
5
6
7
8
Type of Statement
ZBAD BCD
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