Write a proof for the given information.Given:m/1z mZ3Prove:ZABC ZEBDBStatementsReasons|1. 21= 231.2. mz1 = mZ32.3. mz1+ m2 = m2 2+ m233.mZ ABC= mz I+ m224.4.mZ EBD = m/ 2+ mZ35. MZABC =mZEBD5.6. ZABCE ZEBD6.Properties (Equality, Congruence), Definitions, Postulates, & Theorems (* Other)Segment AddtionPoetuateDefrimon ofCongruenceAAddition PropertyNSubtraction PropertyDefrimon ofAnge BeectorDefrition ofComplementary AngesDefrimon ofSupplementary AngesDefriton ofperpendcuarMultiplication PropertyDivision PropertyDQDistributive PropertyRFSubstitution PropertyReflexive PropertyDefniton ofGaRght AngeAngle AddtionPostuateSymmetric PropertyTransitive PropertyVertica AnglesVTheoremComplementThearem*GivenK*SimplifySupplementTheoremCongruentComplementsThearemDefntion ofCongruenceDefntion ofMapontCongruentSupplementsThearemM

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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

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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Question

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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