Given: AB

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Directions: Fill in the blanks. Choose the correct statement or reasons to complete the two reason proof.
Given: AB < CD
Prove: AC= BD
A В С
STATEMENT
REASONS
1.
1.
2.
ВС - ВС
2.
Given
3.
АВ + ВС <ВС + CD
Reflexive Property
3.
АВ < CD
4.
4.
AB + BC = AC
Addition Property of Inequality
5.
АС <ВС + СD
5.
Substitution Property
Definition of Betweenness
6.
AB=CD
6.
7.
.AB <BD
7.
Transcribed Image Text:Directions: Fill in the blanks. Choose the correct statement or reasons to complete the two reason proof. Given: AB < CD Prove: AC= BD A В С STATEMENT REASONS 1. 1. 2. ВС - ВС 2. Given 3. АВ + ВС <ВС + CD Reflexive Property 3. АВ < CD 4. 4. AB + BC = AC Addition Property of Inequality 5. АС <ВС + СD 5. Substitution Property Definition of Betweenness 6. AB=CD 6. 7. .AB <BD 7.
Directions: Fill in the blanks. Choose the correct statement or reasons to complete the two reason proof.
Given: AB <CD
Prove: AC= BD
А В С D.
STATEMENT
REASONS
1.
1.
2.
Given
2.
Reflexive Property
3.
АВ < CD
Addition Property of Inequality
3.
4.
AB + BC = AC
Substitution Property
4. Definition of betwenness
15.
Definition of Betweenness
6.
AB=CD
6.
7.
AB<BD
7.
5.
Transcribed Image Text:Directions: Fill in the blanks. Choose the correct statement or reasons to complete the two reason proof. Given: AB <CD Prove: AC= BD А В С D. STATEMENT REASONS 1. 1. 2. Given 2. Reflexive Property 3. АВ < CD Addition Property of Inequality 3. 4. AB + BC = AC Substitution Property 4. Definition of betwenness 15. Definition of Betweenness 6. AB=CD 6. 7. AB<BD 7. 5.
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