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Write a proof for the given information. Given:mZ1= m23 Prove:ZABC ZEBD В Statements Reasons 1. 21 23 2. mz1 = m23 1. 2. 3. mz1+ m2 = mz 2+ mZ3 mZ ABC= mZ1+ m22 3. 4. 4. mZ EBD = m/ 2+ mZ3 5. MZABC =MZEBD 5. ZABCE ZEBD 6. 6.

Write a proof for the given information. Given:mZ1= m23 Prove:ZABC ZEBD В Statements Reasons 1. 21 23 2. mz1 = m23 1. 2. 3. mz1+ m2 = mz 2+ mZ3 mZ ABC= mZ1+ m22 3. 4. 4. mZ EBD = m/ 2+ mZ3 5. MZABC =MZEBD 5. ZABCE ZEBD 6. 6.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Write a proof for the given information. Given:m/1z mZ3 Prove:ZABC ZEBD B Statements Reasons |1. 21= 23 1. 2. mz1 = mZ3 2. 3. mz1+ m2 = m2 2+ m23 3. mZ ABC= mz I+ m22 4. 4. mZ EBD = m/ 2+ mZ3 5. MZABC =mZEBD 5. 6. ZABCE ZEBD 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) Segment Addtion Poetuate Defrimon of Congruence A Addition Property N Subtraction Property Defrimon of Ange Beector Defrition of Complementary Anges Defrimon of Supplementary Anges Defriton of perpendcuar Multiplication Property Division Property D Q Distributive Property R F Substitution Property Reflexive Property Defniton of G aRght Ange Angle Addtion Postuate Symmetric Property Transitive Property Vertica Angles V Theorem Complement Thearem *Given K *Simplify Supplement Theorem Congruent Complements Thearem Defntion of Congruence Defntion of Mapont Congruent Supplements Thearem M
Transcribed Image Text:Write a proof for the given information. Given:m/1z mZ3 Prove:ZABC ZEBD B Statements Reasons |1. 21= 23 1. 2. mz1 = mZ3 2. 3. mz1+ m2 = m2 2+ m23 3. mZ ABC= mz I+ m22 4. 4. mZ EBD = m/ 2+ mZ3 5. MZABC =mZEBD 5. 6. ZABCE ZEBD 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) Segment Addtion Poetuate Defrimon of Congruence A Addition Property N Subtraction Property Defrimon of Ange Beector Defrition of Complementary Anges Defrimon of Supplementary Anges Defriton of perpendcuar Multiplication Property Division Property D Q Distributive Property R F Substitution Property Reflexive Property Defniton of G aRght Ange Angle Addtion Postuate Symmetric Property Transitive Property Vertica Angles V Theorem Complement Thearem *Given K *Simplify Supplement Theorem Congruent Complements Thearem Defntion of Congruence Defntion of Mapont Congruent Supplements Thearem M
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