The problem asks us to identify a tangent line, a secant line, and a chord in the given circle. We are given that $M$ is the center of the circle, $\overline{KL}$ is a diameter, $\overleftrightarrow{GI}$ intersects the circle at $L$, and $\overleftrightarrow{NF}$ intersects the circle at $H$ and $K$.

1. Problem Description

The problem asks us to identify a tangent line, a secant line, and a chord in the given circle. We are given that $M$ is the center of the circle, $\overline{KL}$ is a diameter, $\overleftrightarrow{GI}$ intersects the circle at $L$, and $\overleftrightarrow{NF}$ intersects the circle at $H$ and $K$.

2. Solution Steps

(a) A tangent line is a line that intersects a circle at only one point. From the diagram, $\overleftrightarrow{GI}$ intersects the circle at only point $L$. Therefore, $\overleftrightarrow{GI}$ is a tangent line.

(b) A secant line is a line that intersects a circle at two points. From the diagram, $\overleftrightarrow{NF}$ intersects the circle at points $H$ and $K$. Therefore, $\overleftrightarrow{NF}$ is a secant line.

(c) A chord is a line segment that connects two points on a circle. From the diagram, $\overline{HK}$ connects points $H$ and $K$ on the circle. $\overline{KL}$ connects points $K$ and $L$ on the circle, and goes through the center $M$, and therefore is a diameter and also a chord. Since the problem only asks for one chord, either chord can be listed. Let's list $\overline{HK}$.

3. Final Answer

(a) $\overleftrightarrow{GI}$

(b) $\overleftrightarrow{NF}$

(c) $\overline{HK}$