   Chapter 2.3, Problem 36E ### 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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# Given that point Q does not lie on A B ¯ , construct the line through point Q that is parallel to A B ¯ . To determine

To Construct:

The parallel line.

Explanation

Given:

A line AB¯ and a point Q that does not lie on AB¯.

Figure (1)

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): Consider an arbitrary point P on AB¯.

Figure (2)

Step (2): Draw a line passing through point P and point Q to become transversal EF¯

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