Interact with the diagram below to answer the following questions:
1. Circle A below has a line that is tangent to its radius. Adjust the circle and the point of tangency by dragging points A and B. What do you notice about the angles at the point of tangency? Based on your findings, make a conjecture about the angle formed at the point of tangency between a radius of a circle and a tangent line.
2. Circle D below has two exterior segments that meet at the same point. Adjust the circle and the points of tangency by dragging points D, E, and F. What do you notice about the lengths of the exterior segments? Based on your findings, make a conjecture about the measures of external segments that are tangent to a circle and meet at the same point in the exterior.