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в с Complete the proof. Given : B is the midpoint of AC A BC = BD Prove : BD+ BC = AC Statements Reasons 1. B is the midpoint of CA 1. 2. AB = BC 2. 3. BC = BD 3. 4. AB = BD 4. 5. AB+ BC = AC 5. 6. BD+ BC = AC 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) A Addition Property N Segment Addtion postuate Defrmon of Congruence Subtraction Property Defrimon of Ange Beector Defrimon of Complementary Anges Defrton of Supplementary Andes Defniton of Derpendcuar Defniton of aRght Ange Multiplication Property D. Division Property Distributive Property Substitution Property Reflexive Property Symmetric Property Angle Addtion postuate H. Transitive Property Vertica Angles Theorem Complement V *Given Theorem *Simplify Supplement Theorem K Congruent Complements Theorem Defntion of Congruence Defntion of Mapont Congruent Supplements Theorem

в с Complete the proof. Given : B is the midpoint of AC A BC = BD Prove : BD+ BC = AC Statements Reasons 1. B is the midpoint of CA 1. 2. AB = BC 2. 3. BC = BD 3. 4. AB = BD 4. 5. AB+ BC = AC 5. 6. BD+ BC = AC 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) A Addition Property N Segment Addtion postuate Defrmon of Congruence Subtraction Property Defrimon of Ange Beector Defrimon of Complementary Anges Defrton of Supplementary Andes Defniton of Derpendcuar Defniton of aRght Ange Multiplication Property D. Division Property Distributive Property Substitution Property Reflexive Property Symmetric Property Angle Addtion postuate H. Transitive Property Vertica Angles Theorem Complement V *Given Theorem *Simplify Supplement Theorem K Congruent Complements Theorem Defntion of Congruence Defntion of Mapont Congruent Supplements Theorem

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 88E
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A в с Complete the proof. Given : B is the midpoint of AC BC = BD Prove : BD+ BC = AC Statements Reasons 1. B is the midpoint of CA 1. 2. AB = BC 2. 3. ВС 3D BD 3. 4. AB = BD 4. %3D 5. AB+ BC = AC 5. %3D 6. BD+ BC = AC 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) Segment Addtion Postuate Defrmon of Congruence A Addition Property Subtraction Property Defrition of Ange Beector Defrmon of Complementary Anges Defntion of Supplementary Andes Defnition of Derpendouar Defnmon of aRght Ange Multiplication Property P D Division Property Distributive Property R F Substitution Property G Reflexive Property Symmetric Property Ange Addtion postuate H. Transitive Property Vertica Angles V Theorem Complement Theorem *Given K *Simplify Supplement Theorem Congruent Complemente Theorem Defntion of Congruence Defnition of Mapont Congruent Supplements Theorem M
Transcribed Image Text:A в с Complete the proof. Given : B is the midpoint of AC BC = BD Prove : BD+ BC = AC Statements Reasons 1. B is the midpoint of CA 1. 2. AB = BC 2. 3. ВС 3D BD 3. 4. AB = BD 4. %3D 5. AB+ BC = AC 5. %3D 6. BD+ BC = AC 6. Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other) Segment Addtion Postuate Defrmon of Congruence A Addition Property Subtraction Property Defrition of Ange Beector Defrmon of Complementary Anges Defntion of Supplementary Andes Defnition of Derpendouar Defnmon of aRght Ange Multiplication Property P D Division Property Distributive Property R F Substitution Property G Reflexive Property Symmetric Property Ange Addtion postuate H. Transitive Property Vertica Angles V Theorem Complement Theorem *Given K *Simplify Supplement Theorem Congruent Complemente Theorem Defntion of Congruence Defnition of Mapont Congruent Supplements Theorem M
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