Constructing a Tangent Line to a Circle
In this activity, you’ll learn two different methods for constructing a tangent line from a point outside a circle to the circle.

You will first perform a construction using traditional tools. Watch this video about constructing a tangent line to a circle. Use paper, a pencil, a compass, and a straightedge to perform the construction shown in the video. In your own words, write the steps used for constructing tangent lines to a circle from a point outside the circle with only a compass and straightedge.

Type your response here:

You will now perform the construction of a tangent to a circle using modern tools. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Create a point, and label it point A. Using point A as the center, create a circle with a radius of your choice.
Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.
Using point C as the center, create a circle that passes through point A.