G.GCI.2 Properties of Tangents Drawn to Circles (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. As you do, be sure to change the locations of the blue points (i.e. alter the size of the circle) and yellow point. After doing so, please answer the questions that follow.


What is the measure of each pink angle displayed? Explain how you know this.


What can you conclude about the distances from the yellow point (outside the circle) to each of the smaller white points on the circle?

Quick (Silent) Demo


Given your response for (1), how could we prove that your response to (2) is true? (Assume we didn't see the rotation at the very end of the animation).