Draw a line from the center of the circle to the edge. Where this line intersects the edge draw a line 90 degrees to it. This line is the tangent at the point of intersection.
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From the definition of tangent, it can ONLY have one point in common called the tangent point.
A tangent to a circle is a line which touches the circle once. That is, it does not pass through the circle, which would mean intersecting it twice. A way to form a tangent is draw any line from the centre point of a circle to its edge. A line on the edge perpendicular (at 90 degrees to) this line will be a tangent.
A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
The tangent line intersects the circumference of a circle at just one point.