[color=#000000]In the applet below, 2 tangent rays are drawn to a circle from a point outside that circle. [br][br]Interact with the applet below for a few minutes, then answer the questions that follow. [/color]

[color=#980000][b]Questions:[/b][/color][color=#000000][br][br]1) How would you describe the intersection of a radius drawn to either point of tangency? [br][br]2) What can you conclude about the lengths [i]EB[/i] and [i]EA[/i]? [br][br]3) How could you have proven your response to question (2) true [i]WITHOUT[/i] seeing the rotation of the pink segment in the applet above? (Hint: Look at the triangles!) [br][br]4) Write a proof that shows your response to (2) is true. You may assume that your response to (1) holds true as you write this proof. [/color]