Question

what does \\(\overarc{cde}\\) describe? a major arc a chord a minor arc a semicircle

Explanation:

Step1: Recall Arc Definitions

A major arc is an arc that measures more than \(180^\circ\), a minor arc is less than \(180^\circ\), a chord is a line segment with endpoints on the circle, and a semicircle is \(180^\circ\).

Step2: Analyze \(\overarc{CDE}\)

Points \(C\), \(D\), \(E\) are on the circle. The arc \(\overarc{CDE}\) spans a larger portion of the circle (more than \(180^\circ\)) as it goes from \(C\) through \(D\) to \(E\), covering the longer path between \(C\) and \(E\). A chord is a segment, not an arc, so "a chord" is out. A minor arc is less than \(180^\circ\), and a semicircle is exactly \(180^\circ\), so \(\overarc{CDE}\) is a major arc.

Answer:

a major arc