   Chapter 2.2, Problem 34E ### 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
1 views

# In Exercises 23 to 34, give the indirect proof for each problem or statement.In a plane, if two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are parallel.

To determine

To verify:

In a plane, if two lines are intersected by a transversal so that the corresponding angles are congruent, then the lines are parallel.

Explanation

Consider the figure below.

Two lines p and q are intersected by a transversal r so that the corresponding angles 1 and 3 are congruent.

Figure (1)

Approach:

Assume that, pq.

The given conclusion is as follows.

13

1=3

Angles on a straight lines add to 180°.

So,

1+2=180°2=180°1

The sum of interior angles of a triangle is 180°

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