Copy of Properties of Tangents (A)
In the applet below, 2 tangent rays are drawn to a circle from a point outside that circle.
Interact with the applet below for a few minutes, then answer the questions that follow.
Questions:
1) What is the measure of each pink angle displayed? Explain how you know this.
2) What can you conclude about the lengths EB and EA?
3) How could you have proven your response to question (2) true WITHOUT seeing the rotation of the blue segment in the applet above?
4) Write a formal, 2-column proof that proves your response to (2) is true. You may assume that your response to (1) is true as you write this proof.