Tangents intersecting at a point.

If two tangents of a Circle connect at a common point (P), what relationship do the segments created between the points of tangency and the point P have? Take a look and find out!

[list=1] [*]Before checking the "Show tangent Segment Distances" box, move around point P and observe what happens. [/list] [list] [*]What do you notice about the perceived lengths of [math]\overline{PY}[/math] and [math]\overline{PX}[/math]? [/list] [list=2] [*]Check the box. [/list] [list] [*]Was your hypothesis from before you checked the box correct? [/list] [list] [*]Move point P around. Does the position of P effect the relationship of [math]\overline{PY}[/math] and [math]\overline{PX}[/math]? [/list]