CCGPS AG 1.2.1 Example 3

Use the given line segment to construct a new line segment with length [math]2AB[/math].

[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]