Fill in the missing statement and reason of the proof below. Given: AABE AACD and AD AE. Prove: ABDF ACEF. Step Statement AABE AACD AD AE AB AC BD CE Type of Statement ABDFACEF Reason Corresponding Parts of Congruent Triangles are Congruent (CPCTC) Congruent segments subtracted from congruent segments form Corresponding Parts of Congruent Triangles are Congruent (CPCTC) 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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Fill in the missing statement and reason of the proof below.
Given: AABE
AACD and AD
AE.
Prove: ABDFACEF.
Step
Statement
1
AABE
AACD
AD
AE
AB AC
BD CE
2B= 2C
Type of Statement
ABDFACEF
Reason
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
Congruent segments subtracted from congruent segments form
congruent segments
Corresponding Parts of Congruent Triangles are Congruent
(CPCTC)
AAS
B
D
Transcribed Image Text:Fill in the missing statement and reason of the proof below. Given: AABE AACD and AD AE. Prove: ABDFACEF. Step Statement 1 AABE AACD AD AE AB AC BD CE 2B= 2C Type of Statement ABDFACEF Reason Corresponding Parts of Congruent Triangles are Congruent (CPCTC) Congruent segments subtracted from congruent segments form congruent segments Corresponding Parts of Congruent Triangles are Congruent (CPCTC) AAS B D
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