Ellipse: Reflective Property

[color=#000000]In the applet below, a tangent line is drawn to a point on an ellipse with foci [i]F[/i][i][sub]1 [/sub][/i]and [i]F[/i][sub]2. [/sub] [br][br]Interact with the following applet for a few minutes. [br]As you do, be sure to change the locations of the LARGE POINTS each time before re-sliding the slider. [br][br]Please answer the questions that appear below the applet. [/color]
1.
How would you describe what you see here in your own words?
2.
How can we formally prove what is dynamically illustrated here?
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Information: Ellipse: Reflective Property