Example 4

Use a compass and a straightedge to construct a line parallel to line [math]n[/math] through point [math]C[/math] that is not on the line. [i]Note[/i]: Drag the blue points to try different constructions.

[list=1] [*]Draw line [math]n[/math] with point [math]C[/math] not on the line. [*]Construct a line perpendicular to line [math]n[/math] through point [math]C[/math]. [*]Draw the perpendicular line. Line [math]n[/math] is perpendicular to line [math]p[/math]. [*]Construct a second line perpendicular to line [math]p[/math]. [*]Draw the perpendicular line. Do not erase any of your markings. Line [math]q[/math] is perpendicular to line [math]p[/math]. Line [math]q[/math] is parallel to line [math]n[/math]. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.