Question

in circle d, which is tangent to the circle?
\\(\overline{cd}\\)
\\(\overrightarrow{ab}\\)
\\(\overline{ef}\\)
\\(\overleftrightarrow{gh}\\)

Explanation:

Step1: Recall Tangent Definition

A tangent to a circle is a line that touches the circle at exactly one point.

Step2: Analyze Each Option

• $\overline{CD}$: This is a radius (connects center D to point C on the circle), so it's not a tangent.
• $\overleftrightarrow{AB}$: This line touches the circle at point B and no other points, so it's a tangent.
• $\overline{EF}$: This is a chord (connects two points F and E on the circle), so it's not a tangent.
• $\overleftrightarrow{GH}$: This line passes through two points G and H on the circle, so it's a secant, not a tangent.

Answer:

$\boldsymbol{\overleftrightarrow{AB}}$