Segments of Chords, Secants, and Tangents

Move the points A, B, C, D, E and F and see how the measurements change. Then complete the calculations below.

1. ED x EC 2. EF x EG 3. What do you notice about your answers to problems 1 and 2? 4. ED x EC 5. EH^2 6. What do you notice about your answers to problems 4 and 5? 7. CI x ID 8. HI x IF 9. What do you notice about your answers to problems 8 and 9? 10. Are there other similar relationships among the segments that you see?