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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 6.CT, Problem 16CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1CT
Problem 2CT
Problem 3CT
Problem 4CT
Problem 5CT
Problem 6CT
Problem 7CT
Problem 8CT
Problem 9CT
Problem 10CT
Problem 11CT
Problem 12CT
Problem 13CT
Problem 14CT
Problem 15CT
Problem 16CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Provide the missing statements and reasons in the following proof.

Given: In ⊙ O , chords A D ¯   and B C ¯ intersects at E .

Prove: A E C E = B E D E

Chapter 6.CT, Problem 16CT, Provide the missing statements and reasons in the following proof. Given: In O, chords AD and BC

PROOF
Statements Reasons
1.                                                               _ 1.                                                               _
2. ∠ A E B ≅ ∠ D E C 2.                                                               _
3. ∠ B ≅ ∠ D 3.If two inscribed angles intercept the same arc, these angles are congruent
4. Δ A B E ∼ Δ C D E 4.                                                               _
5.                                                               _ 5.CSSTP

To determine

To prove:

AECE=BEDE by providing the missing statement in,

PROOF
Statements Reasons
1.                                _ 1.                                _
2. ∠AEB≅∠DEC 2.                                _
3. ∠B≅∠D 3.If two inscribed angles intercept the same arc, these angles are congruent
4. ΔABE∼ΔCDE 4.                                _
5.                                _ 5.CSSTP
Explanation

Given:

In ⊙O, chords AD¯ and BC¯ intersects at E.

PROOF
Statements Reasons
1.                                _ 1.                                _
2. ∠AEB≅∠DEC 2.                                _
3. ∠B≅∠D 3

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Sect-6.1 P-1ESect-6.1 P-2ESect-6.1 P-3ESect-6.1 P-4ESect-6.1 P-5ESect-6.1 P-6ESect-6.1 P-7ESect-6.1 P-8ESect-6.1 P-9ESect-6.1 P-10E
Sect-6.1 P-11ESect-6.1 P-12ESect-6.1 P-13ESect-6.1 P-14ESect-6.1 P-15ESect-6.1 P-16ESect-6.1 P-17ESect-6.1 P-18ESect-6.1 P-19ESect-6.1 P-20ESect-6.1 P-21ESect-6.1 P-22ESect-6.1 P-23ESect-6.1 P-24ESect-6.1 P-25ESect-6.1 P-26ESect-6.1 P-27ESect-6.1 P-28ESect-6.1 P-29ESect-6.1 P-30ESect-6.1 P-31ESect-6.1 P-32ESect-6.1 P-33ESect-6.1 P-34ESect-6.1 P-35ESect-6.1 P-36ESect-6.1 P-37ESect-6.1 P-38ESect-6.1 P-39ESect-6.1 P-40ESect-6.1 P-43ESect-6.2 P-1ESect-6.2 P-2ESect-6.2 P-3ESect-6.2 P-4ESect-6.2 P-5ESect-6.2 P-6ESect-6.2 P-7ESect-6.2 P-8ESect-6.2 P-9ESect-6.2 P-10ESect-6.2 P-11ESect-6.2 P-12ESect-6.2 P-13ESect-6.2 P-14ESect-6.2 P-15ESect-6.2 P-16ESect-6.2 P-17ESect-6.2 P-18ESect-6.2 P-19ESect-6.2 P-20ESect-6.2 P-21ESect-6.2 P-22ESect-6.2 P-23ESect-6.2 P-24ESect-6.2 P-25ESect-6.2 P-26ESect-6.2 P-27ESect-6.2 P-28ESect-6.2 P-29ESect-6.2 P-30ESect-6.2 P-31ESect-6.2 P-32ESect-6.2 P-33ESect-6.2 P-34ESect-6.2 P-35ESect-6.2 P-36ESect-6.2 P-37ESect-6.2 P-38ESect-6.2 P-39ESect-6.2 P-40ESect-6.2 P-41ESect-6.2 P-42ESect-6.2 P-43ESect-6.2 P-44ESect-6.2 P-45ESect-6.2 P-46ESect-6.2 P-47ESect-6.2 P-48ESect-6.2 P-49ESect-6.3 P-1ESect-6.3 P-2ESect-6.3 P-3ESect-6.3 P-4ESect-6.3 P-5ESect-6.3 P-6ESect-6.3 P-7ESect-6.3 P-8ESect-6.3 P-9ESect-6.3 P-10ESect-6.3 P-11ESect-6.3 P-12ESect-6.3 P-13ESect-6.3 P-14ESect-6.3 P-15ESect-6.3 P-16ESect-6.3 P-17ESect-6.3 P-18ESect-6.3 P-19ESect-6.3 P-20ESect-6.3 P-21ESect-6.3 P-22ESect-6.3 P-23ESect-6.3 P-24ESect-6.3 P-25ESect-6.3 P-26ESect-6.3 P-27ESect-6.3 P-28ESect-6.3 P-29ESect-6.3 P-30ESect-6.3 P-31ESect-6.3 P-32ESect-6.3 P-33ESect-6.3 P-34ESect-6.3 P-35ESect-6.3 P-36ESect-6.3 P-37ESect-6.3 P-38ESect-6.3 P-39ESect-6.3 P-40ESect-6.3 P-41ESect-6.3 P-42ESect-6.3 P-43ESect-6.3 P-44ESect-6.3 P-45ESect-6.3 P-46ESect-6.3 P-47ESect-6.3 P-48ESect-6.4 P-1ESect-6.4 P-2ESect-6.4 P-3ESect-6.4 P-4ESect-6.4 P-5ESect-6.4 P-6ESect-6.4 P-7ESect-6.4 P-8ESect-6.4 P-9ESect-6.4 P-10ESect-6.4 P-11ESect-6.4 P-12ESect-6.4 P-13ESect-6.4 P-14ESect-6.4 P-15ESect-6.4 P-16ESect-6.4 P-17ESect-6.4 P-18ESect-6.4 P-19ESect-6.4 P-20ESect-6.4 P-21ESect-6.4 P-22ESect-6.4 P-23ESect-6.4 P-24ESect-6.4 P-25ESect-6.4 P-26ESect-6.4 P-27ESect-6.4 P-28ESect-6.4 P-29ESect-6.4 P-30ESect-6.4 P-31ESect-6.4 P-32ESect-6.4 P-33ESect-6.4 P-34ESect-6.4 P-35ESect-6.4 P-36ESect-6.4 P-37ESect-6.4 P-38ESect-6.4 P-39ESect-6.CR P-1CRSect-6.CR P-2CRSect-6.CR P-3CRSect-6.CR P-4CRSect-6.CR P-5CRSect-6.CR P-6CRSect-6.CR P-7CRSect-6.CR P-8CRSect-6.CR P-9CRSect-6.CR P-10CRSect-6.CR P-11CRSect-6.CR P-12CRSect-6.CR P-13CRSect-6.CR P-14CRSect-6.CR P-15CRSect-6.CR P-16CRSect-6.CR P-17CRSect-6.CR P-18CRSect-6.CR P-19CRSect-6.CR P-20CRSect-6.CR P-21CRSect-6.CR P-22CRSect-6.CR P-23CRSect-6.CR P-24CRSect-6.CR P-25CRSect-6.CR P-26CRSect-6.CR P-27CRSect-6.CR P-28CRSect-6.CR P-29CRSect-6.CR P-30CRSect-6.CR P-31CRSect-6.CR P-32CRSect-6.CR P-33CRSect-6.CR P-34CRSect-6.CR P-35CRSect-6.CT P-1CTSect-6.CT P-2CTSect-6.CT P-3CTSect-6.CT P-4CTSect-6.CT P-5CTSect-6.CT P-6CTSect-6.CT P-7CTSect-6.CT P-8CTSect-6.CT P-9CTSect-6.CT P-10CTSect-6.CT P-11CTSect-6.CT P-12CTSect-6.CT P-13CTSect-6.CT P-14CTSect-6.CT P-15CTSect-6.CT P-16CT

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