Assignment 7:

Running in Tangent Circles

by

Kristina Little

Below is a GSP file for two types of tangent circles. Watch how each piece builds on one another to create final circle which is tanget to both of the given circles.

Tangent Circles:

Use this file of GSP to explore creating different types of tangent circles and how they relate to one another.

Another aspect you can explore is the shapes of the traces and the tangent circle.

Now you can also see how this ellipse that is created by tracing the center of the tanget circle changes is shape in repsonse to how the other circles change in size and location.

**Ellipse of Center Tangent Circle Trace**

Continue to explore how this interesting geometric construction takes place!

**Assignment 8: Altitudes and Orthocenters**