Mark the figure using the sketch tool, then complete the proof. T Given: ZG = ZI; FH bisects ZGFI Prove: ΔGFH ΔΙFH G Hint: "Bisect" means to "slice into two congruent halves." If a segment bisects an angle, then the segment splits the original angle into two new angles that are congruent. The name of this rule is: "Definition of Angle Bisector." Statement Reason F H ZG = ZI FH bi sec ts 2GFI ZGFH = ZIFH Reflexive Property ΔGFH ΔΙFH

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
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Congruent Triangles: Two-Column Proofs
Caitlynn Clifton
2 of 14
Next >
Mark the figure using the sketch tool, then complete the proof.
T
Given: ZG = ZI; FH bisects ZGFI
Prove: AGFH = AIFH
G
Hint: "Bisect" means to "slice into two congruent
halves." If a segment bisects an angle, then the
segment splits the original angle into two new
angles that are congruent. The name of this rule is:
"Definition of Angle Bisector."
Statement
Reason
F
ZG = ZI
FH bi sec ts 2GFI
ZGFH = ZIFH
Reflexive Property
ΔGFH ΔΙFH
II
Transcribed Image Text:Congruent Triangles: Two-Column Proofs Caitlynn Clifton 2 of 14 Next > Mark the figure using the sketch tool, then complete the proof. T Given: ZG = ZI; FH bisects ZGFI Prove: AGFH = AIFH G Hint: "Bisect" means to "slice into two congruent halves." If a segment bisects an angle, then the segment splits the original angle into two new angles that are congruent. The name of this rule is: "Definition of Angle Bisector." Statement Reason F ZG = ZI FH bi sec ts 2GFI ZGFH = ZIFH Reflexive Property ΔGFH ΔΙFH II
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