Complete the proof that AGIJ AIGH. H. G Statement Reason 1 GH I HI AAS GH | J Additive Property of Angle Measure Additive Property of Length Algebra All right angles are congruent 3 GJ I IJ [7 H7 Altornate Intorior Anglon Theorem ZHGI = ZGIJ 6 GI N GI 7. ΔΕ - ΔΙGΗ AAS

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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Definition of angle bisector, definition of congruence, definition of equilateral triangle, definition of midpoint, given, reflexive property of congruence, reflexive property of equality, substitution, transitive property of congruence, transitive property of equality, vertical angle theorem.
Complete the proof that AGIJ AIGH.
H.
Statement
Reason
GH 1 HI
AAS
GH | IJ
Additive Property of Angle Measure
Additive Property of Length
Algebra
All right angles are congruent
3
GJ I IJ
4
[7 H7
Altornato Tntorior Analos Thaorem
ZHGI = ZGIJ
GI GI
AGIJ E AIGH
AAS
6,
Transcribed Image Text:Complete the proof that AGIJ AIGH. H. Statement Reason GH 1 HI AAS GH | IJ Additive Property of Angle Measure Additive Property of Length Algebra All right angles are congruent 3 GJ I IJ 4 [7 H7 Altornato Tntorior Analos Thaorem ZHGI = ZGIJ GI GI AGIJ E AIGH AAS 6,
Complete the proof that AGIJ AIGH.
I
G
Statement
Reason
1
GH 1 HI
Alter
Interior Angles Theorem
GH | J
Angles forming a linear pair sum to 180°
3
GJ 1 IJ
ASA
Corresponding Angles Theorem
CPCTC
4
ZA 2J
Dofinition of angl hicoctor
5
ZHGI = 2GIJ
GI = GI
7
AGIJ = AIGH
AAS
Transcribed Image Text:Complete the proof that AGIJ AIGH. I G Statement Reason 1 GH 1 HI Alter Interior Angles Theorem GH | J Angles forming a linear pair sum to 180° 3 GJ 1 IJ ASA Corresponding Angles Theorem CPCTC 4 ZA 2J Dofinition of angl hicoctor 5 ZHGI = 2GIJ GI = GI 7 AGIJ = AIGH AAS
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