Complete the proof that ZGCF ZDAE in the construction above. Statement Reason 1. CF= AE Both circles have radi of the same length. 2 Both circles have radi of the same length. 3. ED = FG Both circles have radi of the same length. 4. AADE Side-side-side congruence (1,2,3) 5 LGCF S LDAE Congruent parts of congruent triangles are congruent (6). 2 AADE Side sid 4 ZGCF ngru 4 CG= AE ACGF AE CG= AD AGFC AFGC CG = DE 3. 5.
Complete the proof that ZGCF ZDAE in the construction above. Statement Reason 1. CF= AE Both circles have radi of the same length. 2 Both circles have radi of the same length. 3. ED = FG Both circles have radi of the same length. 4. AADE Side-side-side congruence (1,2,3) 5 LGCF S LDAE Congruent parts of congruent triangles are congruent (6). 2 AADE Side sid 4 ZGCF ngru 4 CG= AE ACGF AE CG= AD AGFC AFGC CG = DE 3. 5.
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 proof in the images, answer options are also provided.
Transcribed Image Text:Complete the proof that 2GOCF ZDAE in the construction above.
Statement
Reason
CF- AE
Both circles have radi of the same length.
Both circles have radi of the same length.
ED = FG
Both circles have radi of the same length.
3.
AADE
Side-side-side congruence (1, 2, 3)
4
ZGCF ZDAE
Congruent parts of congruent triangles are congruent (6).
2
ΔADE
Side sid
4
3.
ZGCFE
ngru
4
CG= AE
'ACGF
AE
CG= AD
AGFC
AFGC
CG= DE
5.
Transcribed Image Text:Given:
- The circles centered at points A and C have radii of length AE.
• The circles centered at points E and F have radii of length ED.
A
|D
B
E
F
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