The tangent segment is perpendicular to the radius that shares point of tangency. Option c is the correct option.
What is tangent?
The tangent segment is the line segment, which touches the curved surface like circles or arcs only a single time, at the exterior point.
Let suppose there is a circle, with the center point O as shown in the image below. This circle has a radius which is r units long.
Now, the line segment AB passes near to the circle by touching it at the point P. This point is called the point of tangency or the tangency.
The property of the point of tangency is that at this point, the tangent line segment and the radius of the circle or arc is perpendicular to each other.
For the attached circle, the radius is OP or r and the tangent segment is AB. Thus, by the property of point of tangency,
[tex]AB\perp OP\\[/tex]
Hence, the tangent segment is perpendicular to the radius that shares point of tangency. Option c is the correct option.
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