AFGH E AGFI. F I G H Statement Reason 1 AGHJ = AFIJ Given 2 FI = GH СРСТС 3 FJ GJ СРСТС 4 HJ IJ СРСТС 5 ZFIJ E ZGHJ CPCTC 6 FH = FJ + HJ 7 GI = GJ + IJ Additive Property of Length %3D 8 FH = GJ + IJ Substitution 9 FH = GI 10 AFGH AGFI SAS
AFGH E AGFI. F I G H Statement Reason 1 AGHJ = AFIJ Given 2 FI = GH СРСТС 3 FJ GJ СРСТС 4 HJ IJ СРСТС 5 ZFIJ E ZGHJ CPCTC 6 FH = FJ + HJ 7 GI = GJ + IJ Additive Property of Length %3D 8 FH = GJ + IJ Substitution 9 FH = GI 10 AFGH AGFI SAS
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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![AGHJ = AFIJ. Complete the proof that
AFGH E AGFI.
F
I
G
H
Statement
Reason
1 AGHJ = AFIJ
Given
2 FI = GH
СРСТС
3 FJ GJ
СРСТС
4 HJ = IJ
СРСТС
5 ZFIJ = ZGHJ CPCTC
6 FH = FJ + HJ
7 GI = GJ + IJ
Additive Property of Length
8 FH = GJ + IJ Substitution
9 FH = GI
10 AFGH AGFI SAS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c8029b4-56e5-461b-904d-5db8aa9248dc%2F52b20db2-f540-43f7-8957-9fdbed03ff4f%2Fa4y5hpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:AGHJ = AFIJ. Complete the proof that
AFGH E AGFI.
F
I
G
H
Statement
Reason
1 AGHJ = AFIJ
Given
2 FI = GH
СРСТС
3 FJ GJ
СРСТС
4 HJ = IJ
СРСТС
5 ZFIJ = ZGHJ CPCTC
6 FH = FJ + HJ
7 GI = GJ + IJ
Additive Property of Length
8 FH = GJ + IJ Substitution
9 FH = GI
10 AFGH AGFI SAS
![Additive Property of Length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
Vertical Angle Theorem](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c8029b4-56e5-461b-904d-5db8aa9248dc%2F52b20db2-f540-43f7-8957-9fdbed03ff4f%2Fla88kq3r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Additive Property of Length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
Vertical Angle Theorem
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