"Tangent" to a circle means touching the circle at one point, and only one point. Think of a skinny bicycle wheel standing on the ground. The ground is 'tangent' to the wheel.
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A tangent of a circle is a straight line that touches the circle at only one point.
The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.
a tangent is a line that touches the circle at only ONE point
A tangent to a circle is a line from a point outside the circles which touches the circle at a single point.
A tangent of a circle is a straight line that touches the circle's circumference at just one point.