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Exploring lines Tangent to a circle PBL

Drag the center of circle A and point C around to change the circle. Drag the angle measure to change the angle at which line EC intersects the radius AC. Answer the guiding questions as you explore lines tangent to a circle.

Tangent and Secant of a Circle

Tangent Line to a circle?

Keep in mind the following for the next three questions. List the number of intersection points, the relationship to the radius, the angle measure etc.

Tangent Lines?

1) What is the difference between a tangent line and a secant line?

Tangent LInes?

2) What are the characteristic of the sketch when the line is tangent?

Tangent Lines?

3) Write a conjecture about the angle between the tangent line and the radius of the circle?