Example 3

Use the given line segment to construct a new line segment with length [math]2AB[/math]. [i]Note[/i]: Drag points [i]A[/i] and [i]B[/i] to try different line segments.

[list=1] [*]Use your straightedge to draw a long ray. Label the endpoint [math]C[/math]. [*]Put the sharp point of your compass on endpoint [math]A[/math] of the original segment. Open the compass until the pencil end touches [math]B[/math]. [*]Without changing your compass setting, put the sharp point of your compass on [math]C[/math] and make a large arc that intersects your ray. [*]Mark the point of intersection as point [math]D[/math]. [*]Without changing your compass setting, put the sharp point of your compass on [math]D[/math] and make a large arc that intersects your ray. [*]Mark the point of intersection as point [math]E[/math]. Do not erase any of your markings. [math]CE = 2AB[/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.

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