AGIK is equilateral and ZJ = ZH. Complete the proof that AGHI AKJI. H. K Statement Reason 1 AGIK is equilateral Given Given 3. ZJIK E ZGIH 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 Dafinition of ooilatoral tri nale 4 IK E GI 5 AGHI = AKJI

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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AGIK is equilateral and ZJ ~ ZH. Complete the proof that AGHI = AKJI.
H.
K
Statement
Reason
AGIK is equilateral
Given
2
Given
ZJIK E ZGIH
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
4
IK E GI
AGHI AKJI
Dofinition of anHatoral turinnala
Transcribed Image Text:AGIK is equilateral and ZJ ~ ZH. Complete the proof that AGHI = AKJI. H. K Statement Reason AGIK is equilateral Given 2 Given ZJIK E ZGIH 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 4 IK E GI AGHI AKJI Dofinition of anHatoral turinnala
AGIK is equilateral and LJ ZH. Complete the proof that AGHI ~ AKJI.
H.
K
Statement
Reason
1
AGIK is equilateral
Given
2
23 兰 ZH
Given
3
ZJIK E ZGIH
All iyit diigies die congi uent
Angles forming a linear pair sum to 180°
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical Angle Theorem
4
IK E GI
AGHI = AKJI
Transcribed Image Text:AGIK is equilateral and LJ ZH. Complete the proof that AGHI ~ AKJI. H. K Statement Reason 1 AGIK is equilateral Given 2 23 兰 ZH Given 3 ZJIK E ZGIH All iyit diigies die congi uent Angles forming a linear pair sum to 180° Definition of angle bisector Definition of equilateral triangle Definition of midpoint Vertical Angle Theorem 4 IK E GI AGHI = AKJI
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