a) Answer If two arcs of a circle are congruent the two chords forming the arcs are parallel. Explanation Given Information: If two chords of a circle are parallel the two arcs between the chords are congruent. Calculation: If two arcs of a circle are congruent the two chords forming the arcs are parallel. b) To determine Whether the converse true or false, explain. Answer The converse of this theorem is false. Explanation Given Information: If two arcs of a circle are congruent the two chords forming the arcs are parallel. Calculation: The converse of this theorem is false as the cords of a circle can be congruent but not necessarily parallel. However, if the chords are congruent, they will always be equidistant from the center.

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Chapter 9.5, Problem 11WE

To determine

To state: the converse of the given statement.

Expert Solution

Answer to Problem 11WE

If two arcs of a circle are congruent the two chords forming the arcs are parallel.

Explanation of Solution

Given Information:

If two chords of a circle are parallel the two arcs between the chords are congruent.

Calculation:

If two arcs of a circle are congruent the two chords forming the arcs are parallel.

To determine

Whether the converse true or false, explain.

Expert Solution

Answer to Problem 11WE

The converse of this theorem is false.

Explanation of Solution

Given Information:

If two arcs of a circle are congruent the two chords forming the arcs are parallel.

Calculation:

The converse of this theorem is false as the cords of a circle can be congruent but not necessarily parallel.

However, if the chords are congruent, they will always be equidistant from the center.

Chapter 9.5, Problem 10WE

Chapter 9.5, Problem 12WE

Chapter 9 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 9.1 - Prob. 1CE Ch. 9.1 - Prob. 2CE Ch. 9.1 - Prob. 3CE Ch. 9.1 - Prob. 4CE Ch. 9.1 - Prob. 5CE Ch. 9.1 - Prob. 6CE Ch. 9.1 - Prob. 7CE Ch. 9.1 - Prob. 8CE Ch. 9.1 - Prob. 9CE Ch. 9.1 - Prob. 10CE

Ch. 9.1 - Prob. 11CE Ch. 9.1 - Prob. 1WE Ch. 9.1 - Prob. 2WE Ch. 9.1 - Prob. 3WE Ch. 9.1 - Prob. 4WE Ch. 9.1 - Prob. 5WE Ch. 9.1 - Prob. 6WE Ch. 9.1 - Prob. 7WE Ch. 9.1 - Prob. 8WE Ch. 9.1 - Prob. 9WE Ch. 9.1 - Prob. 10WE Ch. 9.1 - Prob. 11WE Ch. 9.1 - Prob. 12WE Ch. 9.1 - Prob. 13WE Ch. 9.1 - Prob. 14WE Ch. 9.1 - Prob. 15WE Ch. 9.1 - Prob. 16WE Ch. 9.1 - Prob. 17WE Ch. 9.1 - Prob. 18WE Ch. 9.1 - Prob. 19WE Ch. 9.1 - Prob. 20WE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.2 - Prob. 1CE Ch. 9.2 - Prob. 2CE Ch. 9.2 - Prob. 3CE Ch. 9.2 - Prob. 4CE Ch. 9.2 - Prob. 5CE Ch. 9.2 - Prob. 1WE Ch. 9.2 - Prob. 2WE Ch. 9.2 - Prob. 3WE Ch. 9.2 - Prob. 4WE Ch. 9.2 - Prob. 5WE Ch. 9.2 - Prob. 6WE Ch. 9.2 - Prob. 7WE Ch. 9.2 - Prob. 8WE Ch. 9.2 - Prob. 9WE Ch. 9.2 - Prob. 10WE Ch. 9.2 - Prob. 11WE Ch. 9.2 - Prob. 12WE Ch. 9.2 - Prob. 13WE Ch. 9.2 - Prob. 14WE Ch. 9.2 - Prob. 15WE Ch. 9.2 - Prob. 16WE Ch. 9.2 - Prob. 17WE Ch. 9.2 - Prob. 18WE Ch. 9.2 - Prob. 19WE Ch. 9.2 - Prob. 20WE Ch. 9.2 - Prob. 21WE Ch. 9.2 - Prob. 22WE Ch. 9.2 - Prob. 23WE Ch. 9.2 - Prob. 1MRE Ch. 9.2 - Prob. 2MRE Ch. 9.2 - Prob. 3MRE Ch. 9.3 - Prob. 1CE Ch. 9.3 - Prob. 2CE Ch. 9.3 - Prob. 3CE Ch. 9.3 - Prob. 4CE Ch. 9.3 - Prob. 5CE Ch. 9.3 - Prob. 6CE Ch. 9.3 - Prob. 7CE Ch. 9.3 - Prob. 8CE Ch. 9.3 - Prob. 9CE Ch. 9.3 - Prob. 10CE Ch. 9.3 - Prob. 11CE Ch. 9.3 - Prob. 12CE Ch. 9.3 - Prob. 13CE Ch. 9.3 - Prob. 1WE Ch. 9.3 - Prob. 2WE Ch. 9.3 - Prob. 3WE Ch. 9.3 - Prob. 4WE Ch. 9.3 - Prob. 5WE Ch. 9.3 - Prob. 6WE Ch. 9.3 - Prob. 7WE Ch. 9.3 - Prob. 8WE Ch. 9.3 - Prob. 9WE Ch. 9.3 - Prob. 10WE Ch. 9.3 - Prob. 11WE Ch. 9.3 - Prob. 12WE Ch. 9.3 - Prob. 13WE Ch. 9.3 - Prob. 14WE Ch. 9.3 - Prob. 15WE Ch. 9.3 - Prob. 16WE Ch. 9.3 - Prob. 17WE Ch. 9.3 - Prob. 18WE Ch. 9.3 - Prob. 19WE Ch. 9.3 - Prob. 20WE Ch. 9.3 - Prob. 21WE Ch. 9.3 - Prob. 22WE Ch. 9.3 - Prob. 23WE Ch. 9.3 - Prob. 24WE Ch. 9.4 - Prob. 1CE Ch. 9.4 - Prob. 2CE Ch. 9.4 - Prob. 3CE Ch. 9.4 - Prob. 4CE Ch. 9.4 - Prob. 5CE Ch. 9.4 - Prob. 6CE Ch. 9.4 - Prob. 7CE Ch. 9.4 - Prob. 1WE Ch. 9.4 - Prob. 2WE Ch. 9.4 - Prob. 3WE Ch. 9.4 - Prob. 4WE Ch. 9.4 - Prob. 5WE Ch. 9.4 - Prob. 6WE Ch. 9.4 - Prob. 7WE Ch. 9.4 - Prob. 8WE Ch. 9.4 - Prob. 9WE Ch. 9.4 - Prob. 10WE Ch. 9.4 - Prob. 11WE Ch. 9.4 - Prob. 12WE Ch. 9.4 - Prob. 13WE Ch. 9.4 - Prob. 14WE Ch. 9.4 - Prob. 15WE Ch. 9.4 - Prob. 16WE Ch. 9.4 - Prob. 17WE Ch. 9.4 - Prob. 18WE Ch. 9.4 - Prob. 19WE Ch. 9.4 - Prob. 20WE Ch. 9.4 - Prob. 21WE Ch. 9.4 - Prob. 22WE Ch. 9.4 - Prob. 23WE Ch. 9.4 - Prob. 24WE Ch. 9.4 - Prob. 25WE Ch. 9.4 - Prob. 26WE Ch. 9.4 - Prob. 27WE Ch. 9.4 - Prob. 1ST1 Ch. 9.4 - Prob. 2ST1 Ch. 9.4 - Prob. 3ST1 Ch. 9.4 - Prob. 4ST1 Ch. 9.4 - Prob. 5ST1 Ch. 9.4 - Prob. 6ST1 Ch. 9.5 - Prob. 1CE Ch. 9.5 - Prob. 2CE Ch. 9.5 - Prob. 3CE Ch. 9.5 - Prob. 4CE Ch. 9.5 - Prob. 5CE Ch. 9.5 - Prob. 6CE Ch. 9.5 - Prob. 7CE Ch. 9.5 - Prob. 8CE Ch. 9.5 - Prob. 9CE Ch. 9.5 - Prob. 10CE Ch. 9.5 - Prob. 11CE Ch. 9.5 - Prob. 12CE Ch. 9.5 - Prob. 13CE Ch. 9.5 - Prob. 14CE Ch. 9.5 - Prob. 1WE Ch. 9.5 - Prob. 2WE Ch. 9.5 - Prob. 3WE Ch. 9.5 - Prob. 4WE Ch. 9.5 - Prob. 5WE Ch. 9.5 - Prob. 6WE Ch. 9.5 - Prob. 7WE Ch. 9.5 - Prob. 8WE Ch. 9.5 - Prob. 9WE Ch. 9.5 - Prob. 10WE Ch. 9.5 - Prob. 11WE Ch. 9.5 - Prob. 12WE Ch. 9.5 - Prob. 13WE Ch. 9.5 - Prob. 14WE Ch. 9.5 - Prob. 15WE Ch. 9.5 - Prob. 16WE Ch. 9.5 - Prob. 17WE Ch. 9.5 - Prob. 18WE Ch. 9.5 - Prob. 19WE Ch. 9.5 - Prob. 20WE Ch. 9.5 - Prob. 21WE Ch. 9.5 - Prob. 22WE Ch. 9.5 - Prob. 23WE Ch. 9.5 - Prob. 24WE Ch. 9.5 - Prob. 25WE Ch. 9.5 - Prob. 26WE Ch. 9.5 - Prob. 27WE Ch. 9.5 - Prob. 28WE Ch. 9.5 - Prob. 29WE Ch. 9.5 - Prob. 1MRE Ch. 9.5 - Prob. 2MRE Ch. 9.5 - Prob. 3MRE Ch. 9.5 - Prob. 4MRE Ch. 9.5 - Prob. 5MRE Ch. 9.5 - Prob. 6MRE Ch. 9.6 - Prob. 1CE Ch. 9.6 - Prob. 2CE Ch. 9.6 - Prob. 3CE Ch. 9.6 - Prob. 4CE Ch. 9.6 - Prob. 5CE Ch. 9.6 - Prob. 6CE Ch. 9.6 - Prob. 7CE Ch. 9.6 - Prob. 8CE Ch. 9.6 - Prob. 9CE Ch. 9.6 - Prob. 10CE Ch. 9.6 - Prob. 1WE Ch. 9.6 - Prob. 2WE Ch. 9.6 - Prob. 3WE Ch. 9.6 - 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Prob. 21CR Ch. 9 - Prob. 22CR Ch. 9 - Prob. 23CR Ch. 9 - Prob. 24CR Ch. 9 - Prob. 1CT Ch. 9 - Prob. 2CT Ch. 9 - Prob. 3CT Ch. 9 - Prob. 4CT Ch. 9 - Prob. 5CT Ch. 9 - Prob. 6CT Ch. 9 - Prob. 7CT Ch. 9 - Prob. 8CT Ch. 9 - Prob. 9CT Ch. 9 - Prob. 10CT Ch. 9 - Prob. 11CT Ch. 9 - Prob. 12CT Ch. 9 - Prob. 13CT Ch. 9 - Prob. 14CT Ch. 9 - Prob. 15CT Ch. 9 - Prob. 16CT Ch. 9 - Prob. 17CT Ch. 9 - Prob. 18CT Ch. 9 - Prob. 1CUR Ch. 9 - Prob. 2CUR Ch. 9 - Prob. 3CUR Ch. 9 - Prob. 4CUR Ch. 9 - Prob. 5CUR Ch. 9 - Prob. 6CUR Ch. 9 - Prob. 7CUR Ch. 9 - Prob. 8CUR Ch. 9 - Prob. 9CUR Ch. 9 - Prob. 10CUR Ch. 9 - Prob. 11CUR Ch. 9 - Prob. 12CUR Ch. 9 - Prob. 13CUR Ch. 9 - Prob. 14CUR Ch. 9 - Prob. 15CUR Ch. 9 - Prob. 16CUR Ch. 9 - Prob. 17CUR Ch. 9 - Prob. 18CUR Ch. 9 - Prob. 19CUR Ch. 9 - Prob. 20CUR Ch. 9 - Prob. 21CUR Ch. 9 - Prob. 22CUR Ch. 9 - Prob. 23CUR Ch. 9 - Prob. 24CUR Ch. 9 - Prob. 25CUR Ch. 9 - Prob. 26CUR Ch. 9 - Prob. 27CUR Ch. 9 - Prob. 28CUR Ch. 9 - Prob. 29CUR Ch. 9 - Prob. 30CUR

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