Power of a Point

Author:
Jan Mays
Topic:
Circle
1. Drag point O to several locations within the circle. Observe the product of the segments for each chord. 2. Write a conjecture based on your observations. Drag other points (R, S, T, Q). Does the conjecture still hold?
3. Consider what happens if point P is moved outside the circle. Do your conjectures still hold? 4. What locations of P have you not considered?