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
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
Problem 1RQ
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Question
![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
->](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2F8bf9bfa1-dbb9-45aa-a837-b426813f7d37%2F5haxwf_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2F8bf9bfa1-dbb9-45aa-a837-b426813f7d37%2F2syeo9i_processed.jpeg&w=3840&q=75)
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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