Final answer:
The circle's radius is always perpendicular to the tangent line at the point of tangency, which is a fundamental property of circles. In uniform circular motion, the tangential velocity vector is also perpendicular to the radius.
Step-by-step explanation:
The statement 'The circle's radius will always be perpendicular to the line at the point of contact (the point of tangency)' is true. In the context of geometry and specifically that of a circle, the radius drawn to the point of tangency of a tangent line is always perpendicular to the tangent. This is one of the fundamental properties of circles and tangents. When an object is in uniform circular motion, the tangential velocity vector is always perpendicular to the radius of the circular path along which the object moves. This is because the tangential velocity is the velocity component that is tangent to the edge of the circle at any given point. Thus, it is orthogonal to the radial vector pointing towards the center of the circle.