Question

which term describes \\(\overarc{abc}\\)? \
\\(\circ\\) major arc \
\\(\circ\\) minor arc \
\\(\circ\\) secant \
\\(\circ\\) semicircle

Explanation:

Step1: Recall arc definitions

A minor arc is less than \(180^\circ\), a major arc is more than \(180^\circ\), a semicircle is \(180^\circ\), and a secant is a line, not an arc.

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

Arc \(ABC\) spans from \(A\) to \(C\) through \(B\), covering more than half the circle (so more than \(180^\circ\)). A minor arc would be the shorter path (e.g., \(AC\) directly), semicircle is \(180^\circ\), secant is not an arc. So \(\overarc{ABC}\) is a major arc.

Answer:

Major arc