This page shows how a PC with word processor and MathType, a TI-84 calculator with TI-Connect, and the internet with aconnection to GeoGebra, can all join hands in making a problem understandable.

The Problem

Point N is rotating around the origin counter clockwise and point M is rotating around the origin clockwise.

Point N is on the unit circle, and point M is on a circle of radius 2. At time t=0 both points are on the positive x-axis.

Point D is the midpoint between N and M.

What type of path does point D make?

How Dynamic Geometry helps answering it

Point N: and Point M =

 

The following are from TI-84 Silver Edition