Exercise 1: Triangles

Navigate to http://www.math.union.edu/locate/MFA-09-2008/evolver.html to complete this assignment.

For each exercise:

Try to predict what will happen, before using the software. First write down your own prediction, then describe it to the rest of the group.
Test your predictions by playing with the program. Discuss the results, and write down a revised group answer, based on what you learned.
Finally, explain the revised predictions.

A. Create three points in the plane, forming an equilateral triangle.

Where is the mean?

Where is the mediancentre?

Predict

Test & Revise

Explain

B. Begin to move one of the three points along a straight line directly away from the center, forming an isosceles triangle.

How does the mean change?

How does the mediancentre change?

Predict

Test & Revise

Explain

C. (Mediancentre only) Experiment with other triangles.

Do they all behave the same way?

Create a general rule for predicting the mediancentre of three points in a triangle.

Predict

Test & Revise

Explain

Print your results and turn them in to your instructor.