Question

use circle o to identify each segment.
\overline{bd} is a select
\overline{bc} is a select

Explanation:

for $\overline{BD}$:

Step1: Recall circle segment definitions

A secant is a line that intersects the circle at two points and extends beyond the circle. A chord is a line segment with both endpoints on the circle. A tangent is a line that touches the circle at exactly one point.

Step2: Analyze $\overline{BD}$

$\overline{BD}$ has one endpoint (B) outside the circle and the other (D) on the circle? Wait, no, looking at the diagram (assuming standard circle diagram), $\overline{BD}$: Wait, no, let's re - examine. Wait, in a circle, a secant is a line that passes through two points on the circle. Wait, maybe I made a mistake. Wait, $\overline{BD}$: if B is outside and D is on the circle? No, maybe the diagram shows that $\overline{BD}$ passes through two points on the circle. Wait, actually, a secant is a line that intersects the circle at two points and is extended. But a chord is a segment with both endpoints on the circle. Wait, no, let's correct: A secant is a line (or segment) that intersects the circle at two points and extends beyond? No, a secant segment can have one endpoint outside and one inside, but a chord has both endpoints on the circle. Wait, maybe the diagram: $\overline{BD}$: if B is outside and D is on the circle, and another intersection? Wait, maybe the correct approach: $\overline{BD}$ - if it intersects the circle at two points (say D and another point), then it's a secant. $\overline{BC}$: if C is on the circle and B is outside, and it touches at only C, then it's a tangent.

Wait, let's start over.

1. For $\overline{BD}$:

• A secant is a line that intersects the circle at two points. So if $\overline{BD}$ passes through two points on the circle (e.g., D and another point), then $\overline{BD}$ is a secant segment (or secant).

1. For $\overline{BC}$:

• A tangent is a line that touches the circle at exactly one point. So if $\overline{BC}$ touches the circle at only point C (with B outside), then $\overline{BC}$ is a tangent.

Answer:

s:

• $\overline{BD}$ is a secant.
• $\overline{BC}$ is a tangent.