4.13.10

Triangular Pastimes from Another Universe

Show diagrams (several for each game) and a few sentences of explanation for each.  Also, if you can, relate your strategy to some of the centers we talked about in class:  angle bisectors, perpendicular bisectors, altitudes, midpoints, etc.

Game 1:

The referees define a triangular field having three goal lines (sides).  The field could be equilateral, scalene, right, obtuse – any kind of triangle.  A caller calls which side is the goal for that round, and you try to race to be the first one to reach that side.  Your current theory is that the best way to win is to find the place that is an equal distance from each side.  Where is this point?  How can you identify it on different shaped fields?

Game 2:

Again, the referees define a triangular field, this time by placing three cones.  Your goal is to reach the cone that is called on any given round and you’d like to be in a good position for a play at any cone.  You want to be the same distance from each cone.  Where do you stand?  How do you find this spot?  How is it different in different shaped fields?