State True/False:

A tangent of a circle touches the circle but never enters it.

The statement is true.

A tangent of a circle is a line that touches the circle at only one point, which is called the point of contact. The tangent intersects the circle at this point, but it does not enter the circle, meaning it does not pass through the interior of the circle. This is the definition of a tangent to a circle, so the statement is true.