What geometric property is being dynamically illustrated in the applet below? [br][b][color=#0000ff]Note:[/color][/b] [color=#0000ff][i]The blue line is tangent to the conic section shown. [br][/i][/color]Feel free to move the [color=#000000]black point[/color], white point, and [color=#000000]black line[/color] anywhere you'd like!
A segment drawn from a parabola's focus to any [color=#0000ff][b]tangent line's point of tangency[/b][/color] creates an [color=#ff00ff][b]angle[/b][/color] that's equal to the [b][color=#ff00ff]angle[/color][/b] formed by this tangent line and the parabola's axis of symmetry. [br][br]Can you see how this property could be proven true from seeing the dynamics in [url=https://www.geogebra.org/m/y2uqTyax]Animation 55[/url]?