   Chapter 2.2, Problem 36E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 25 to 36, 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°

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find the derivatives of the functions in Problems 1-14. 10.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 24. x2x+6x3+3xdx

Single Variable Calculus: Early Transcendentals

Rewrite 10x2xdx using a trigonometric substitution. a) cos10sind b) 110sincos2d c) 10cos2sind d) 10sincosd

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 