Circle Tangent Construction and Geometric Properties

This GeoGebra example demonstrates the construction of a tangent to a circle and explores the fundamental geometric property that a tangent is perpendicular to the radius at the point of tangency. Key concepts include circle definition, tangent properties, similar triangles, and coordinate geometry conditions for perpendicularity. The construction uses the Circle and Tangent commands with points A, B, circle c, and function f. It is suitable for high school geometry, analytic geometry lessons, or classroom demonstrations of tangent-radius relationships.