# G.GCI.2 Tangents

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) How would you describe the intersection of a radius drawn to either point of tangency? 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 pink segment in the applet above? (Hint: Look at the triangles!) 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.

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