Point C is on the perpendicular bisector of segment AB. As you move C, note the distances CA and CB (distance from C to the endpoints of the segment). [br][br]Similarly, G lies the bisector of angle GEH. As you move G, note the relationship between GH and GI (the rays forming the angle).

Will CA ever differ from CB?[br][br]Why do points I and H slide along the rays as you move G?