Question

1. which choice is tangent?

options:
\\( \overline{lg} \\)
\\( \overleftrightarrow{gh} \\)
\\( \overline{cj} \\)
\\( \overleftrightarrow{jm} \\)

Explanation:

A tangent to a circle is a line that touches the circle at exactly one point. Let's analyze each option:

• $\overline{LG}$: This is a chord (connects two points on the circle), not a tangent.
• $\overleftrightarrow{GH}$: This line intersects the circle at two points (G and H), so it's a secant, not a tangent.
• $\overline{CJ}$: This is a radius (connects center C to point J on the circle), not a tangent.
• $\overleftrightarrow{JM}$: This line touches the circle at exactly one point (J), so it is a tangent.

Answer:

D. $\overleftrightarrow{JM}$ (assuming the options are labeled A to D as $\overline{LG}$, $\overleftrightarrow{GH}$, $\overline{CJ}$, $\overleftrightarrow{JM}$ respectively)