Answer:
A. [tex] \overline{OC} \perp \overline{AB} [/tex]
Step-by-step explanation:
According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.
Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:
[tex] \overline{OC} \perp \overline{AB} [/tex].
This means the radius of the circle is perpendicular to the tangent formed at point C.
