   Chapter 2.CR, Problem 41CR ### 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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# Construct the line through C parallel to A B ¯ . To determine

To construct:

The line through C parallel to AB¯.

Explanation

Given:

A triangle ABC is given.

Figure (1)

Approach:

If two lines are cut by a transversal so that a pair of corresponding angles is congruent, then these lines are parallel.

Construction:

Step (1): Scribe an arbitrary arc on BC¯ from point B which intersect line BC¯ on point E and line AB¯ on point D.

Figure (2)

Step (2): Scribe an arc from point E which intersect AB¯ on point D

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