What are the reasons for statements #4 and #5 below? Fi bisects LGFH and FGFH. Complete the proof that AFGI ≈ AFHI. G H I Statement FI bisects ZGFH 1 2 FG FH 3 ZGFI ZHFI 4 F & F 5 AFGIAFHI F Reason Given Given Definition of angle bisector O 4) Definition of angle bisector 5) SSS 4) Reflexive Property of Congruence 5) SSS 4) Definition of a Midpoint 5) SAS 4) Reflexive Property of Congruence 5) SAS

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 15E: Does the relation is complementary to for angles have a reflexive property consider one angle? A...
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What are the reasons for statements #4 and #5 below?
Fi bisects LGFH and FGFH. Complete the proof that AFGI ≈ AFHI.
G
H
I
Statement
FI bisects ZGFH
1
2
FG FH
3
ZGFI ZHFI
4
F & F
5
AFGIAFHI
F
Reason
Given
Given
Definition of angle bisector
O
4) Definition of angle bisector
5) SSS
4) Reflexive Property of Congruence
5) SSS
4) Definition of a Midpoint
5) SAS
4) Reflexive Property of Congruence
5) SAS
Transcribed Image Text:What are the reasons for statements #4 and #5 below? Fi bisects LGFH and FGFH. Complete the proof that AFGI ≈ AFHI. G H I Statement FI bisects ZGFH 1 2 FG FH 3 ZGFI ZHFI 4 F & F 5 AFGIAFHI F Reason Given Given Definition of angle bisector O 4) Definition of angle bisector 5) SSS 4) Reflexive Property of Congruence 5) SSS 4) Definition of a Midpoint 5) SAS 4) Reflexive Property of Congruence 5) SAS
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