In the given figure, if EF GH, then EG FH E F G H. Given: EF =GH Prove: EG=FH STATEMENT REASONS 1. EF +GH 1. 2. Definition of Congruent Definition of Betweenness 3. Substitution Property 2. EF=GH 3. EG = EF+ FG Transitive Property 4. 4. FH=GH+FG Given 5. 5. EG =FG 6. 6. EF+ FG GH+FG 7. 7. EG =FH 8. 8. EG 스 FH

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 30E
icon
Related questions
Question
Directions: Determine the reasons of the following statement.
In the given figure, if
EF GH, then EG=FH
E
F G
Given: EF =GH
Prove: EG FH
STATEMENT
REASONS
1.
1.
EF +GH
2.
EF GH
2.
Definition of Congruent
Definition of Betweenness
3.
EG =EF+ FG
3.
Substitution Property
4.
FH GH+ FG
Transitive Property
4.
Given
5.
5.
EG =FG
6.
6.
EF + FG=GH+ FG
7.
7.
EG = FH
8.
8.
EG FH
Transcribed Image Text:Directions: Determine the reasons of the following statement. In the given figure, if EF GH, then EG=FH E F G Given: EF =GH Prove: EG FH STATEMENT REASONS 1. 1. EF +GH 2. EF GH 2. Definition of Congruent Definition of Betweenness 3. EG =EF+ FG 3. Substitution Property 4. FH GH+ FG Transitive Property 4. Given 5. 5. EG =FG 6. 6. EF + FG=GH+ FG 7. 7. EG = FH 8. 8. EG FH
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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,
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning