A perpendicular at the end of the radius of a circle is
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A perpendicular at the end of the radius of a circle is
diameter
tangent
chord
anyline
By definition, a line drawn perpendicular to the radius at its point of contact with the circle is a tangent.
By the tangent-radius theorem, a line drawn perpendicular to the radius of a circle at its outer endpoint (on the circle) forms a 90-degree angle with the radius. This perpendicular line touches the circle at exactly that single point, which defines it geometrically as a tangent. Hence, the perpendicular line is a tangent.