In circle geometry, what does the term "intercepted arc" refer to?

The term "intercepted arc" specifically refers to the arc that lies opposite an inscribed angle. In the context of circle geometry, an inscribed angle is formed by two chords that meet at a point on the circle. The intercepted arc is then the arc that is contained within the angle, stretching from one point of intersection on the circle to the other, thereby creating a subtended arc opposite the angle.

This terminology is crucial in understanding the relationships between angles and arcs in circles. For instance, one of the key theorems in circle geometry states that the measure of an inscribed angle is half that of its intercepted arc. This relationship underscores the importance of identifying the correct intercepted arc as it relates directly to angles formed within the circle.

The other options refer to different concepts related to circles but do not accurately capture the meaning of "intercepted arc." For example, the part of a circle that lies between two points, while relevant, is a more general description and does not specifically relate to an inscribed angle. The arc that subtends an angle at the center describes a different relationship involving central angles rather than inscribed angles. Lastly, the arc created by two intersecting chords pertains to a different geometric situation and does not define