Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD B Prove: CD= AB STATEMENTS REASONS AB CD 1. GIVEN 2. AB = AB + CD DEF. OF CONGRUENT SEGMENTS DEF. OF BETWENNESS CD AB AB = CD TRANSITIVE PROPERTY CD = AB SYMMETRIC PROPERTY SUBSTITUTION PROPERTY

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 7
Directions: Complete the two-column proof to prove that:
CD AB
Given: AB = CD
Prove: CD= AB
STATEMENTS
REASONS
1.
1. GIVEN
AB CD
2.
12.
13.
AB = AB + CD
DEF. OF CONGRUENT SEGMENTS
DEF. OF BETWENNESS
4. CD AB
AB = CD
TRANSITIVE PROPERTY
CD = AB
SYMMETRIC PROPERTY
SUBSTITUTION PROPERTY
->
Transcribed Image Text:QUESTION 7 Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD Prove: CD= AB STATEMENTS REASONS 1. 1. GIVEN AB CD 2. 12. 13. AB = AB + CD DEF. OF CONGRUENT SEGMENTS DEF. OF BETWENNESS 4. CD AB AB = CD TRANSITIVE PROPERTY CD = AB SYMMETRIC PROPERTY SUBSTITUTION PROPERTY ->
QUESTION 7
Directions: Complete the two-column proof to prove that:
CD AB
Given: AB = CD
Prove: CD = AB
STATEMENTS
REASONS
1.
AB CD
2.
1. GIVEN
12.
3.
AB AB + CD
DEF. OF CONGRUENT SEGMENTS
DEF. OF BETWENNESS
AB = CD
TRANSITIVE PROPERTY
4.
CD AB
SYMMETRIC PROPERTY
SUBSTITUTION PROPERTY
Transcribed Image Text:QUESTION 7 Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD Prove: CD = AB STATEMENTS REASONS 1. AB CD 2. 1. GIVEN 12. 3. AB AB + CD DEF. OF CONGRUENT SEGMENTS DEF. OF BETWENNESS AB = CD TRANSITIVE PROPERTY 4. CD AB SYMMETRIC PROPERTY SUBSTITUTION PROPERTY
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