Geometric Demonstration of Constant Tangent Slope on Conic Sections

This GeoGebra example demonstrates the geometric property that the slope of a tangent line at certain points on a conic section (parabola or ellipse) remains constant. Using foci F₁, F₂ and geometric constructions including mirror, intersection, distance, segment, and tangent, it dynamically shows that the slope of a specific tangent line is invariant as a point moves along the curve. The example