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Anglebisector

The above construction illustrates an angle bisector.

Drag points A and B to change angle ACB.  What do you notice about the measures of angles ACG and GCB?

Drag point F to change the radius of the two purple circles.  What do you notice about ray CG? 

Move point H to change the intersection points E and D.   At what point does this construction no longer hold true?

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