Question

which of the segments below is a secant? a. (overline{bc}) b. (overline{cd}) c. (overline{ao}) d. (overline{ab})

Explanation:

Step1: Recall secant definition

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

Step2: Analyze each option

• $\overline{BC}$ intersects the circle at two points, so it is a secant.
• $\overline{CD}$ is a chord (a line - segment whose endpoints lie on the circle).
• $\overline{AO}$ is a radius (a line - segment from the center of the circle to a point on the circle).
• $\overline{AB}$ is a tangent (a line that touches the circle at exactly one point).

Answer:

A. $\overline{BC}$