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
Section3.5: Graphs Of Functions
Problem 56E
icon
Related questions
Question
100%
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
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning