Answer Theorem 3-2 Explanation Given: The diagram: Concept Used: Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior 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 ∠ 5 are the alternate interior angles. Thus, by the Theorem 3-2, it can be said that ∠ 4 and ∠ 5 are congruent, that is m ∠ 4 = m ∠ 5 .

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 6CE

To determine

To state: the postulate or theorem which justifies the given statement, “ m∠4=m∠5 ”

Expert Solution & Answer

Answer to Problem 6CE

Theorem 3-2

Explanation of Solution

Given:

The diagram:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 6CE , additional homework tip 1

Concept Used:

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Consider the given figure:

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 3.2, Problem 6CE , additional homework tip 2

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

The angles ∠4 and ∠5 are the alternate interior angles.

Thus, by the Theorem 3-2, it can be said that ∠4 and ∠5 are congruent, that is m∠4=m∠5 .

Chapter 3.2, Problem 5CE

Chapter 3.2, Problem 7CE

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

Ch. 3.1 - Prob. 11CE Ch. 3.1 - Prob. 12CE Ch. 3.1 - Prob. 13CE Ch. 3.1 - Prob. 14CE Ch. 3.1 - Prob. 15CE Ch. 3.1 - Prob. 16CE Ch. 3.1 - Prob. 17CE Ch. 3.1 - Prob. 18CE Ch. 3.1 - Prob. 19CE Ch. 3.1 - Prob. 1WE Ch. 3.1 - Prob. 2WE Ch. 3.1 - Prob. 3WE Ch. 3.1 - Prob. 4WE Ch. 3.1 - Prob. 5WE Ch. 3.1 - Prob. 6WE Ch. 3.1 - Prob. 7WE Ch. 3.1 - Prob. 8WE Ch. 3.1 - Prob. 9WE Ch. 3.1 - Prob. 10WE Ch. 3.1 - Prob. 11WE Ch. 3.1 - Prob. 12WE Ch. 3.1 - Prob. 13WE Ch. 3.1 - Prob. 14WE Ch. 3.1 - Prob. 15WE Ch. 3.1 - Prob. 16WE Ch. 3.1 - Prob. 17WE Ch. 3.1 - Prob. 18WE Ch. 3.1 - Prob. 19WE Ch. 3.1 - Prob. 20WE Ch. 3.1 - Prob. 21WE Ch. 3.1 - Prob. 22WE Ch. 3.1 - Prob. 23WE Ch. 3.1 - Prob. 24WE Ch. 3.1 - Prob. 25WE Ch. 3.1 - Prob. 26WE Ch. 3.1 - Prob. 27WE Ch. 3.1 - Prob. 28WE Ch. 3.1 - Prob. 29WE Ch. 3.1 - Prob. 30WE Ch. 3.1 - Prob. 31WE Ch. 3.1 - Prob. 32WE Ch. 3.1 - Prob. 33WE Ch. 3.1 - Prob. 34WE Ch. 3.1 - Prob. 35WE Ch. 3.1 - Prob. 36WE Ch. 3.1 - Prob. 37WE Ch. 3.1 - Prob. 38WE Ch. 3.1 - Prob. 39WE Ch. 3.1 - 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To state: the postulate or theorem which justifies the given statement, “ m ∠ 4 = m ∠ 5 ”