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.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 37E: The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent...
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Complete the proof in the images, answer options are also provided.

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: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.
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
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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