   Chapter 2.2, Problem 29E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In Exercises 23 to 32, give the indirect proof for each problem or statement.If alternate interior angles are not congruent when two lines are cut by a transversal, then the lines are not parallel.

To determine

To prove:

The given statement.

Explanation

Given:

The given statement is,

If alternate interior angles are not congruent when two lines are cut by a transversal, then the lines are not parallel.

Property:

If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Approach:

Assume that, pq.

Parallel lines p and q are cut by transversal line r as shown in the figure below.

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