Which of the following best describes the difference between a $\mathrm{tangent}$ and a $\mathrm{chord}$ in a $\mathrm{circle}$?

• A. A $\mathrm{tangent}$ is a line segment with both endpoints on the $\mathrm{circle}$, while a $\mathrm{chord}$ touches the $\mathrm{circle}$ at only one point.
• B. A $\mathrm{tangent}$ is a line that touches a $\mathrm{circle}$ at exactly one point, while a $\mathrm{chord}$ is a line segment with both endpoints on the $\mathrm{circle}$.
• C. A $\mathrm{tangent}$ passes through the center of the $\mathrm{circle}$, while a $\mathrm{chord}$ never passes through the center.
• D. A $\mathrm{tangent}$ is always longer than any $\mathrm{chord}$ in the $\mathrm{circle}$.

Answer: (B)

Verified step by step guidance

1. Step 1: Understand the definitions of the terms involved. A chord in a circle is a line segment with both endpoints lying on the circle.
2. Step 2: Recognize that a tangent to a circle is a line that touches the circle at exactly one point, called the point of tangency.
3. Step 3: Note the key difference: a chord has two endpoints on the circle, while a tangent touches the circle at only one point and extends infinitely in both directions.
4. Step 4: Recall that a tangent does not pass through the interior of the circle, whereas a chord lies entirely inside the circle except for its endpoints.
5. Step 5: Use these definitions to evaluate the given options and identify the correct description of the difference between a tangent and a chord.