Question

In the circle shown, AB is tangent to circle o at point and OC is a radius

Which relationship is true?

Answer 1

A.
`\overline{OC} \perp \overline{AB}`

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
`\overline{AB}` is a tangent of the circle O, at a point C, and
`\overline{OC}` is a radius, therefore, it follows that:

`\overline{OC} \perp \overline{AB}`.

This means the radius of the circle is perpendicular to the tangent formed at point C.