Answer Postulate 10 Explanation Given: The diagram: Concept Used: Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent. Consider the given figure: In this figure the lines l ∥ p and the line t is their transversal. The angles ∠ 4 and ∠ 8 are the corresponding angles. Thus, by the postulate 10, it can be said that ∠ 4 and ∠ 8 are congruent, that is m ∠ 4 = m ∠ 8 .

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 3.2, Problem 5CE

To determine

To state: the postulate or theorem which justifies the given statement, “ m∠4=m∠8 ”

Expert Solution & Answer

Answer to Problem 5CE

Postulate 10

Explanation of Solution

Given:

The diagram:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 5CE , additional homework tip 1

Concept Used:

Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent.

Consider the given figure:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 5CE , additional homework tip 2

In this figure the lines l∥p and the line t is their transversal.

The angles ∠4 and ∠8 are the corresponding angles.

Thus, by the postulate 10, it can be said that ∠4 and ∠8 are congruent, that is m∠4=m∠8 .

Chapter 3.2, Problem 4CE

Chapter 3.2, Problem 6CE

Chapter 3 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 3.1 - Prob. 1CE Ch. 3.1 - Prob. 2CE Ch. 3.1 - Prob. 3CE Ch. 3.1 - Prob. 4CE Ch. 3.1 - Prob. 5CE Ch. 3.1 - Prob. 6CE Ch. 3.1 - Prob. 7CE Ch. 3.1 - Prob. 8CE Ch. 3.1 - Prob. 9CE Ch. 3.1 - Prob. 10CE

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To state: the postulate or theorem which justifies the given statement, “ m ∠ 4 = m ∠ 8 ”