Drag the center of circle A and point C around to change the circle. [br]Drag the angle measure to change the angle at which line EC intersects [br]the radius AC. Answer the guiding questions as you explore lines tangent[br]to a circle.
Keep in mind the following for the next three questions.[br][br]List the number of intersection points, the relationship to the radius, the angle measure etc. [br]
1) What is the difference between a tangent line and a secant line?
Tangent line will intersect the circle in exactly one point. This point is called point of tangency. A secant line intersects the circle in two different points.
2) What are the characteristic of the sketch when the line is tangent?
Intersect the circle at one point.
3) Write a conjecture about the angle between the tangent line and the radius of the circle?
The tangent line and the radius drawn to the point of tangency will always create 90 degree.