Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider circle q. which term describes \\(\\overline{ab}\\)? select al…

Question

consider circle q.
which term describes \\(\overline{ab}\\)?
select all that apply.
\\(\square\\) chord
\\(\square\\) diameter
\\(\square\\) radius
\\(\square\\) secant

Explanation:

Step1: Recall Definitions

  • Chord: A segment with endpoints on the circle.
  • Diameter: A chord passing through the center (longest chord).
  • Radius: A segment from center to circle (half of diameter).
  • Secant: A line (not segment) intersecting the circle at two points.

Step2: Analyze \(\overline{AB}\)

  • \(\overline{AB}\) has endpoints \(A, B\) on Circle \(Q\) (so it's a chord).
  • It passes through center \(Q\) (so it's a diameter, a special chord).
  • It's a segment (not a line), so not a secant.
  • It's longer than a radius (radius would be \(QA\) or \(QB\), half of \(AB\)).

Answer:

  • Chord
  • Diameter