Question

in circle d, which is a secant?
○ (overline{ef})
○ (overline{dc})
○ (overline{ab})
○ (overleftrightarrow{gh})

Explanation:

Step1: Recall secant definition

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

Step2: Analyze each option

• $\overline{EF}$ is a chord (a line - segment with endpoints on the circle).
• $\overline{DC}$ is a radius (a line - segment from the center to a point on the circle).
• $\overline{AB}$ is a secant as it intersects the circle at points $B$ and $E$.
• $\overleftrightarrow{GH}$ is a tangent (a line that touches the circle at exactly one point).

Answer:

$\overline{AB}$