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in circle d, which is a secant? ef dc ab gh

Question

in circle d, which is a secant?
ef
dc
ab
gh

Explanation:

Step1: Recall the definition of a secant

A secant is a line that intersects a circle at two points.

Step2: Analyze each option

  • $\overline{EF}$: It is a chord (a line segment with both endpoints on the circle), not a line (secant is a line).
  • $\overline{DC}$: It is a radius (a line segment from the center to a point on the circle).
  • $\overleftrightarrow{AB}$: It is a tangent (a line that touches the circle at exactly one point).
  • $\overleftrightarrow{GH}$: It is a line that intersects the circle at two points \(G\) and \(H\), so it is a secant.

Answer:

\(\overleftrightarrow{GH}\)