Circle Angle Relationships: (Chord, Secant, Tangent)

Drag the red and blue dots to create different combinations of arcs and angles.

1) Try to get point P inside, on the edge, and outside of the circle. What changes do you notice? 2) What is different in the equation when point P is on, inside, or outside the circle? 3) Do you think the same holds true for the angles that are supplements to those marked in green? What would one of those equations look like?