Tangents investigation

Tangent investigation First, notice all the parts of this template:
  • Secant lines
  • Radii as perpendicular bisectors of chords
  • Distance measurement points E and I to point I (point of intersection)
Move the points C, D, F, and G around so that they get further and further away from the center of the circle. They will become tangent lines eventually. Two things to focus on here:
  1. What is the angle between the tangent line and the radius that goes to the point of tangency?
  2. What is special about the two segments from point of tangency to the point of intersection (point I)?
You should be able to fill out the two conjectures for section 6.2.