   Chapter 2.CR, Problem 41CR 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

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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