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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

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

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter49: Achievement Review—section Four
Section: Chapter Questions
Problem 7AR
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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
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