Question

2 multiple choice 1 point
points b, c, d, e, g, and h lie on circle a.
in the diagram, which segment appears to be a tangent to circle a?
\\( \overleftrightarrow { g h } \\)
\\( \overline { a b } \\)
\\( \overline { c d } \\)
\\( \overleftrightarrow { e f } \\)

Explanation:

Step1: Recall the definition of a tangent

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

Step2: Analyze each option

• $\overleftrightarrow{GH}$: Intersects the circle at two points ($G$ and $H$), so it is a secant.
• $\overline{AB}$: Is a radius (connects the center $A$ to a point $B$ on the circle).
• $\overline{CD}$: Intersects the circle at two points ($C$ and $D$), so it is a chord.
• $\overleftrightarrow{EF}$: Appears to touch the circle at exactly one point ($E$), which matches the definition of a tangent.

Answer:

$\overleftrightarrow{EF}$