The statement that the measure of an inscribed angle is half the measure of the central angle with the
same intercepted arc is a conjecture in circle geometry. The view of the GeoGebra file, which has
been prepared to dynamically see this conjecture given the relationship between a central angle and an
angle inscribed in the same arc, is shown in Figure 2. In the GeoGebra material, inscribed and central
angle can be changed optionally by means of β-slider.
Figure