AFHJ is equilateral. Complete the proof that AHIJ = AHGF. G F Statement Reason AFHJ is equilateral Given 2 ZHJI LGFH Given 3 ZIHJ ZFHG All Tiynt dilyies die corryi uerit Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem HJ E FH ΔΗI ΔHG

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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AFHJ is equilateral. Complete the proof that AHIJ = AHGF.
G
F
Statement
Reason
AFHJ is equilateral
Given
2
ZHJI E LGFH
Given
3
ZIHJ E ZFHG
All Tignt dilyies die corryr uent
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
4
HJ FH
ΔΗJ ΔΗGF
Transcribed Image Text:AFHJ is equilateral. Complete the proof that AHIJ = AHGF. G F Statement Reason AFHJ is equilateral Given 2 ZHJI E LGFH Given 3 ZIHJ E ZFHG All Tignt dilyies die corryr uent Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem 4 HJ FH ΔΗJ ΔΗGF
AFHJ is equilateral. Complete the proof that AHIJ = AHGF.
G
Statement
Reason
1
AFHJ is equilateral
Given
2
ZHJI ZGFH
Given
ZIHJ E ZFHG
Additive Property of Angle Measure
Additive Property of Length
All right angles are congruent
Angles forming a linear pair sum to 180°
Definition of angle bisector
Dafinitionfcailateral trianalk
4
HJ FH
ΔΗI ΔHGF
Transcribed Image Text:AFHJ is equilateral. Complete the proof that AHIJ = AHGF. G Statement Reason 1 AFHJ is equilateral Given 2 ZHJI ZGFH Given ZIHJ E ZFHG Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Dafinitionfcailateral trianalk 4 HJ FH ΔΗI ΔHGF
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